- Review
- Open Access

# Individual identification via electrocardiogram analysis

- Antonio Fratini
^{1}Email author, - Mario Sansone
^{2}, - Paolo Bifulco
^{2}and - Mario Cesarelli
^{2}

**14**:78

https://doi.org/10.1186/s12938-015-0072-y

© Fratini et al. 2015

**Received:**3 February 2015**Accepted:**30 July 2015**Published:**14 August 2015

## Abstract

### Background

During last decade the use of ECG recordings in biometric recognition studies has increased. ECG characteristics made it suitable for subject identification: it is unique, present in all living individuals, and hard to forge. However, in spite of the great number of approaches found in literature, no agreement exists on the most appropriate methodology. This study aimed at providing a survey of the techniques used so far in ECG-based human identification. Specifically, a pattern recognition perspective is here proposed providing a unifying framework to appreciate previous studies and, hopefully, guide future research.

### Methods

We searched for papers on the subject from the earliest available date using relevant electronic databases (Medline, IEEEXplore, Scopus, and Web of Knowledge). The following terms were used in different combinations: electrocardiogram, ECG, human identification, biometric, authentication and individual variability. The electronic sources were last searched on 1st March 2015. In our selection we included published research on peer-reviewed journals, books chapters and conferences proceedings. The search was performed for English language documents.

### Results

100 pertinent papers were found. Number of subjects involved in the journal studies ranges from 10 to 502, age from 16 to 86, male and female subjects are generally present. Number of analysed leads varies as well as the recording conditions. Identification performance differs widely as well as verification rate. Many studies refer to publicly available databases (Physionet ECG databases repository) while others rely on proprietary recordings making difficult them to compare. As a measure of overall accuracy we computed a weighted average of the identification rate and equal error rate in authentication scenarios. Identification rate resulted equal to 94.95 % while the equal error rate equal to 0.92 %.

### Conclusions

Biometric recognition is a mature field of research. Nevertheless, the use of physiological signals features, such as the ECG traits, needs further improvements. ECG features have the potential to be used in daily activities such as access control and patient handling as well as in wearable electronics applications. However, some barriers still limit its growth. Further analysis should be addressed on the use of single lead recordings and the study of features which are not dependent on the recording sites (e.g. fingers, hand palms). Moreover, it is expected that new techniques will be developed using fiducials and non-fiducial based features in order to catch the best of both approaches. ECG recognition in pathological subjects is also worth of additional investigations.

## Keywords

- Linear Discriminant Analysis
- Empirical Mode Decomposition
- Multi Layer Perceptron
- Equal Error Rate
- Ensemble Empirical Mode Decomposition

## Background

Biometric recognition, often referred as Biometrics, is the science that uses statistical methods to uniquely identify humans by means of their physiological and behavioural characteristics. It is mostly used to solve problems of access control, providing reliable and secure alternatives to the conventional authentication methods [1–5].

Subject identification can be achieved using several human discriminants such as retinal structure, fingerprint, face, palm print, etc. However, each one of them exhibits issues related to the specific hardware to use, the practicability of the measures and the robustness against spoofing attacks. Retinal scan is a relatively quick and secure procedure (there are relatively few chances to forge it), however the technology is still expensive and more importantly the procedure is sometimes perceived as invasive and unpleasant. Fingerprint is the most widespread biometric, it has been used in forensic for about 100 years. Automated systems base their accuracy on a multispectral approach, however simple rolled fingerprint (inked impression images) can relatively easy be forged. The possibility to steal data directly from subjects and the relative ease to replicate them (e.g. silicone fingerprints, pictures or facial masks) posed serious challenges to researchers [6–10] and multimodal recognition systems have been suggested [2, 11–14].

In the last decade, the registration of the electrical activity of the heart on the body surface, namely the electrocardiogram (ECG), has been documented to be suitable for identity recognition [1, 13, 15]. Dedicated research on the ECG analysis has demonstrated its advantages in biometrics: ECG is present in all living individuals, exhibits the typical characteristics of a biometric and it is hard to forge. In addition, ECG analysis is a robust method to detect the aliveness of the subject in authentication scenarios.

To date, many different approaches to human recognition via ECG have been reported in the scientific literature but no agreement exists on the appropriate methodologies. Moreover, the use of ad-hoc signal databases makes difficult the assessment of all existing techniques [16, 17].

This study attempts to provide a survey of the techniques used so far in ECG-based human identification. Here, we present a perspective on the progresses of the last decade’s research in the field and a discussion on the possible implications for future research.

Previous attempts to summarise ECG-based recognition techniques can be traced back to the work of Nasri [18], Odinaka [17] and Israel and Irvine [19].

Nasri briefly summarized the literature by 2008, Odinaka compared the performance of different algorithms testing them on a single database while Israel and Irvine suggested a sensor-based perspective. More recently, some author investigated combination of ECG-traits with other signals (voice, phonocardiography, Laser Doppler Vibrometry) to enhance the identification rate [20–22].

The aim of this survey is to provide a *pattern recognition* perspective, giving a unifying framework for interpreting previous studies and, hopefully, to guide future works. We concentrated on ‘features’ for ECG-based human recognition as well as classification strategies. In addition, we evaluated a weighted mean accuracy of the found journal studies to assess the overall performance of the ECG biometrics techniques used so far.

This survey is organized as follows: section two reports on the search strategy, inclusion criteria, and overall performance evaluation strategy; section three describes the main principles underlying the use of ECG as biometrics, the most spread ECG-based features and the databases used to test algorithms performance; in section four we address the issues of feature selection and dimensionality reduction. Discussion and conclusions report the overall picture dealing with the open issues on ECG-based biometrics.

It is nevertheless worth to highlight what this survey is not aimed at. We will not review ECG pre-processing, which is an established research area and a large number of studies report on efficient methods for noise removal, power-line suppression, baseline-wandering removal etc. [8, 23, 24]. We will also not review the methods for QRS detection, although this is one of the most important issues in all algorithms for individual identification. QRS detection has been reviewed elsewhere and we refer the interested reader to specific papers such as [1, 25–27].

## Search strategy

To estimate an overall performance index for ECG biometrics we computed the weighted mean of identification rate by selecting journal publications (18 were considered appropriate due to data availability, use of ECG feature only, etc.). Weighted equal error rate for verification (authentication) scenarios was also computed. The two indexes were obtained by combining the performance of all the studies. Specifically, single study’s performance were weighted (according with the number of subjects involved with respect to the total number of subject of the selected papers) and then added to obtain mean overall performance indexes.

## ECG as a biometric

ECG is the electrical activity of the heart often recorded at the chest level. During its activity, the myocardium—the heart muscle—behaves as a series of connected electric dipoles in a unique fashion called functional “*syncytium*” [28–31]. Heart’s electrical activity is commonly described using an individual time-varying electromagnetic vector [28, 32–36], whose projections can be recorded onto the body surface [32]. Up to twelve specific electrodes positions (leads) are used to monitor heart functions [37, 38], and additional configurations have been proposed for specific purposes [37, 39].

Therefore, ECG seems to contain enough information for subject recognition. In past studies numerous ‘features’—temporal (locations and intervals among waves), amplitude (height of waves’ peaks) and morphological differences (shapes, proportions, slopes and angles)—have been proposed to recognise individuals.

The hypothesis of the use of ECG as personal identification attribute was suggested by Forsen [40]; however, the first study on the ECG analysis for biometric purposes was carried out by Biel and colleagues [1, 41]: the authors investigated some combinations of features in 12-leads ECG recordings on a sample of 20 subjects.

In the same years moreover, Hoekema and Van Oosterom [42, 43] highlighted and quantified, to some extent, the relevance of the geometrical characteristics in the inter-individual variability of ECG recordings.

Starting from these pioneering studies, ECG biometric literature has grown in the field of pattern recognition (see Fig. 1). Thus, the extraction of appropriate features as well as the classification procedures became both crucial issues.

### Typical realization of an ECG-based identification system

*enrolment*phase, which serves to collect and store subject’s distinctive attributes. With the enrolment, specific pre-processing, for noise and artefacts rejection, as well as feature extraction/processing are implemented before the data storage. Once the characteristics of different subjects are stored the

*identification*phase can take place. During the identification, in fact, an unknown ECG is presented to the system. As in the enrolment, equal pre-processing and features extraction/transformation are performed. In addition, a specific classification algorithm assigns the extracted features to a

*best matching*subject’s data as stored in the database (see “Classifiers”).

Clearly, ECG attributes extraction, selection and transformation, as well as the classifier structure play a fundamental role to achieve the best identification performances. The following paragraphs report the details of each of the mentioned steps.

### ECG features

ECG-based recognition approaches are numerous and very different. ECG attributes (features) are intended to classify the specific subject exploiting inter-subject variability. In general, features are based on the morphology of the heartbeat, on peculiar time intervals derived from ECG waves or on specifically extracted features. The choice of the employed features is generally driven by the complexity of the recognizer, the need of real-time identification, the specific recording device, etc.

No agreement exists on the most appropriate technique or on the type/number of features to consider. Moreover, ECG analysis is often performed on in-house databases making arduous the comparison between techniques.

In addition, papers in the literature differ as regards the number of the leads used, the recording configuration and the time interval in which the recordings are collected.

#### Fiducial based approaches

By locating specific anchor points on the ECG recordings, namely fiducial points or fiducials, numerous features can be extracted and used as recognizer inputs.

Wave’s peaks, boundaries, slopes or other measures serve as fiducials. Detectors can use adaptive thresholds [44], Fourier synthesis [45], wavelet transform [46, 47], and other approaches as in [48].

Clearly, the extracted features are strictly influenced by the accuracy of the detection. However, in some case, researchers have limited the number of required fiducials (often to the only R peak identification) [28, 31, 35, 47–63].

Fiducials based features can be further subdivided in temporal, amplitude and morphological. Authors generally use these features in combination.

##### Temporal features

The temporal relationships between the various ECG waves (P, QRS, and T) reflect the epochs of heart’s stimulation along its electrical paths starting from the sino-atrial node to the Purkinje fibres and can be used as biometrics discriminants.

##### Amplitude features

The inter-individual variability of the amplitude of the heartbeat’s waves can be easily recognised in individuals [2, 13, 14]. Amplitude features capture the relative amplitude between the peaks of an ECG’s wave; they are generally measured relative to the R peak.

##### Morphological features

Morphological attributes are those carrying information on the shape of the ECG, either as a whole or as its constituent intervals (P-QRS-T). The simplest way to extract morphological features from a heartbeat is to perform the average of the sampled values of specific intervals (e.g. QRS) with respect to multiple aligned (i.e. centred on R peak) heartbeats [47, 48, 51, 52, 55, 57, 59, 64–67]. In this case, the morphological attributes can be considered as a simple extended set of amplitude features.

However, the study of the ECG’s morphology suggested various features: researchers have primarily used slopes among waves, such as ST and RS segment slopes, and angles described by Q, R and S waves [2, 5].

*form factor*(FF) is defined as in Eq. 1:

*x*′ is the first derivative of the QRS and

*x*″ is its second derivative. Biel [1], Shen [26] and Zhang [27] evaluated the suitability of the QRS area. Wübbeler [31], Fang [28] and Sing [30] revealed the characteristic trait of the heart vector by means of studying the whole QRS on different leads.

Polynomial expansions have also been used to synthesize the heartbeat morphology. Khalil and Sufi concentrated on the discrimination feasibility of the Legendre polynomials coefficients derived by fitting the QRS complex [35, 36]. Li [68] used the Hermite interpolation coefficients, Tsao [69] the first order interpolation coefficients while Jun Shen extracted the piecewise linear representation (PLR) coefficients of the entire heartbeat [56]. Specific features (up to 98) were derived via the use of a pulsed triangular wave (Pulse Active Ratio) [70].

The morphology of ECG waves was also investigated by means of wavelet decomposition, frequency analysis and correlation coefficients. Saechia and colleagues focussed on the discriminative characteristics of frequency content of P, QRS and T waves [71]. Hou used the only QRS frequency patterns [72] Tashiro the high frequency components (40–300 Hz) of the entire heartbeat [58]. Lately, Odinaka performed a short time Fourier transform to reveal the spectrogram shape over the heartbeat cycle [54].

Wavelet analysis has been introduced by Chan [48, 49]. Wavelet coefficients were also used by Yao and Wan (Biortogonal wavelets) [47, 59], Chiu (Haar wavelets) [50] and Ye (Daubechies wavelets) [60].

Discrete cosine transform coefficients were also proposed for use in ECG biometrics by Plataniotis et al. [73]. and used by Fattah et al. [74] and Hou et al. [72].

##### Heart rate: based normalization

All the above-described features exhibit a main drawback: the whole heartbeat wave changes with heart rate (HR). This, in turn, induces fluctuations in temporal, amplitude and morphological relationships among waves during physical activity, drug assumption or strong emotions.

Many authors therefore attempted to normalize features with respect to HR changes.

Israel and colleagues [14] assumed the existence of a linear relationship between the heart rate and the features (temporal) computed with respect to the R peak. To remove the dependence on the heart rate, they use a simple normalisation of the features to the length of the entire P-QRS-T complex. Similar to Israel, Kim and colleagues [45] resized the entire heartbeat to a predetermined number of samples n using the inverse Fourier transform.

The approaches adopted by Israel and Kim are however partial. HR influences the timing of heart pulse but it does not homogeneously affect ECG’s waves.

Shen [5, 26] and Singh [30, 75–77] utilized Bazett’s formula to normalize QT interval, while Tawfik [66, 78] and Sansone [79] applied the regression based approach proposed by Sagie [80].

Fatemian and Hatzinakos addressed the heart rate ECG normalization by resampling the T wave to fit a duration of 120 ms (the typical time extension of the T-wave under rest conditions [38, 81]). After T-wave resampling they combined the obtained segment with P and QRS waves in order to compose the whole heartbeat. Finally, the entire heartbeat is resampled to fit 850 ms [64].

#### Non-fiducial based approaches

Temporal, amplitude and morphological features require accurate detection of fiducials and the achieved results are clearly dependent on the recognition procedure. To overcome the problem, new approaches, that do not require fiducials recognition, have been reported.

All the described techniques are based on the assumption that the ECG is a highly repetitive (quasi-periodic) signal. Scientific literature analysis revealed various approaches that we subdivide in three main categories: autocorrelation based, phase space based, and frequency based analyses.

##### Autocorrelation based features

*m*lags (see Eq. 2). AC embeds information about ECG’s peculiar characteristics: it is shift invariant and highlights non-random patterns [82]. The QRS complex, in particular, maintains a strong invariance in shape and time width. With this approach, samples that would have to be influenced by fiducials detection, are combined into a sequence of sums of products as given in Eq. 2 reported below:

*r*[

*m*] is the AC,

*s*[

*i*] is the signal at time

*i*and

*m*is chosen greater than the mean QRS duration (in samples).

Following this first study, Agrafioti [83–86], Wang [87, 88] and other researchers [81–83] also proposed the use of normalized autocorrelation coefficients.

##### Phase space analysis

As for AC based approach, the ECG signal can be characterised in a two-dimensional or even three-dimensional space by using the time-delay technique. The analysis of the phase-space trajectory in fact, can highlight unexplored peculiarities of cardiac activity.

Fang [34] extended the set of features by looking at the three-dimensional vectors of single-lead, time-delayed (4–36 ms), amplitude normalised ECGs \( (s(t), \, s(t + dt), \, s(t + 2dt)) \).

Then, partitioning the phase-space to a 30 × 30 × 30 grid, he reduced the multi loop trajectory to a coarse-grained features space lowering the computational effort and the loop variability due to noise or ECGs’ irregularity.

Chen [33], and then Coutinho [51] analysed the ECG by characterising its chaotic behaviour. In detail, Chen and colleagues converted three seconds ECG trace to a phase space-plane by using a time delay equal to 20 samples. Then, they computed concise indicators like correlation dimension and Lyapunov exponents as well as the root mean square of the ECG amplitude.

Conversely, Coutinho analyses the recordings similarities using string matching and parsing algorithms. Each recording is converted by applying an 8-bit uniform quantisation, which produces a sequence of symbols (strings) from an alphabet with 2^{8} symbols. Then, a Ziv-Merhav cross-parsing (ZMCP) algorithm [89] is used to evaluate the cross-complexity between different strings. The key idea behind the use of ZMCP is that the cross-complexity becomes lower when the two sequences are similar. Chen et al. explored the use of Lyapunov exponents and correlation dimension [90].

##### Frequency based features

Other authors concentrate on the analysis of ECG’s frequency characteristics [91–95].

*a*

_{ i }coefficients are evaluated by minimizing the error

*e*[

*n*] (see Eq. 4) using the Levinson–Durbin recursion [96]:

*x*[

*n*] represent the actual value.

Kouchaki [92] and Zhao [94] used procedures similar to the Hilbert–Huang transform to obtain instantaneous ECG frequency data. The recordings set is reduced to a collection of functions (namely intrinsic mode functions or IMF) with an adaptive process called *Empirical Mode Decomposition* (EMD) [97]. Each IMF is different among individuals and it is not fixed as in Wavelet or Hermitian expansion. IMFs represent simple oscillatory modes of the system under investigation, which can be characterized by means of the Hilbert spectral analysis.

Kouchaki [92] observed that the slowest component of the EMD carries the most of the discriminative information in comparison with other IMF’s.

Zhao and colleagues [94] proposed a modified version of the EMD by using averaged versions of IMFs to raise robustness with respect to noise sources [97]. A consistent number of decompositions is collected for the same ECG by randomly adding white noise to the original signal trait. The corresponding IMFs are then averaged to become noise independent. Finally the spectrum of each IMF is evaluated by Welch analysis. The technique is named *Ensemble Empirical Mode Decomposition.*

Aghakabi [91] and Zokaee [95] use the Mel-Frequency Cepstrum Coefficients (MFCCs) [98]. More in detail, they first select a frame of N samples by using a Hamming window. Then, the Fast Fourier Transform converts the frame from the time domain into frequency domain. A triangular band pass filter bank is applied in the frequency domain to reveal the mel-frequency components [99].

### Multi-lead vs single-lead features

Almost all studies reported in this review addressed the problem of subject identification via ECG using single ECG’s leads. This is mainly due to the usability of ECG-based identification systems. However, since in pattern recognition problems a larger amount of information could raise the probability of a successful recognition [100], multi-lead systems have also been studied.

Biel investigated amplitude and temporal features in 12-leads ECG recordings [1, 41]. He concluded that a single lead is sufficient in assuring good recognition performances, favouring the practical application of the technique (at least three electrodes are needed).

Following the study of Biel, Zhang and colleagues compared the results obtainable with the use of different leads as a single recording [27]. Based on their outcomes they also concluded that the use of few leads is sufficient and in detail, lead V1 and lead V2 can give the best accuracy. These leads grasp a larger ECG signal with respect to other leads since electrodes are placed closer to the heart site.

Moreover, Agrafioti [83, 84] explored the use of the integration of feature extracted from all of the 12 standard measurement leads. However, he found that information integration raises the identification performance only when combining the outcomes of different classifiers at the decision level. Fang et al. [34] used three leads in his phase space trajectory analysis while obtaining comparable results also with a single lead only. Recently Raj and Hatzinakos [101] studied the feasibility of a specific single-arm single-lead on 23 subjects with discrete results (EER 4–12 %).

### Databases

Features of the databases used in past studies

References | NS | NL | NL | SF (Hz) | SF | NB | DU (s) | DB |
---|---|---|---|---|---|---|---|---|

Agrafioti and Hatzinakos [85] | 14 | 12 + 3 | 1 | 1,000 | 1,000 | 16 | na | PTB |

Agrafioti and Hatzinakos [83] | 13 | 1 1 12 + 3 | 1 | 128 360 1,000 | 360 | 16 | 10 | MIT-BIH-NSR MIT-BIH-ARR PTB |

30 | ||||||||

13 | ||||||||

Biel et al. [1] | 20 | 12 | 12 | na | na | na | na | na |

Boumbarov et al. [120] | 9 | 1 | 1 | 128 | 128 | 12 | 20 | na |

Chan et al. [48] | 50 | 1 | 1 | 1,000 | 1,000 | 12 | 90 | na |

Chan et al. [49] | 60 | 1 | 1 | 1,000 | 1,000 | 12 | na | na |

Chen et al. [90] | 19 | 1 | 1 | na | na | na | 60 | na |

Fang and Chan [28] | 100 | 2 | 2 | 250 | 250 | na | 30 | na |

Fatemian and and Hatzinakos [64] | 13 | 1 | 1 | 128 1,000 | 128 1,000 | 16 | na | MIT-BIH PTB |

14 | ||||||||

Israel et al. [14] | 29 | 1 | 1 | 1,000 | 1,000 | na | 120 | na |

Khalil and Sufi [35] | 10 | 1 | 1 | na | na | na | na | na |

Kim et al. [45] | 10 | 1 | 1 | 200 | 200 | na | 30 | na |

Kyoso and Uchiyama [4] | 9 | 1 | 1 | 500 | 500 | 12 | 200 | na |

Loong et al. [93] | 15 | 1 | 1 | 256 | 256 | na | 65 | na |

Lourenco et al. [65] | 16 | 1 | 1 | 1,000 | 1,000 | na | 120 | na |

Odinaka et al. [54] | 269 | 1 | 1 | 10,000 | 1,000 | na | 300 | na |

Pathoumvanh et al. [132] | 10 | 1 | 1 | 500 | 500 | 12 | 200 | na |

Pereira et al. [112] | 77 | 1 | 1 | 256 | na | na | 600 | na |

Safie et al. [70] | 112 | 1 | 1 | 1,000 | 1,000 | na | 30 | PTB |

Shen and Tompkins [26] | 168 | 1 | 1 | 500 | 500 | na | 90 | MIT-BIH-ARR |

Silva et al. [113] | 1 | 1 | 1 | na | na | na | 600 | na |

Singh [77] | 50 | na | na | na | na | na | na | E-ST MIT-BIH MIT-BIH-ARR MIT-BIH-NSR QT |

Singh and Gupta [76] | 73 | na | na | na | na | na | na | E-ST MIT-BIH MIT-BIH-ARR MIT-BIH-NSR QT |

Sriram et al. [114] | 17 | 1 | 1 | na | na | na | 720 | na |

Tawfik and Kamal [78] | 22 | 1 | 1 | 500 | 500 | na | 10 | na |

Wan and Yao [59] | 38 | 1 | 1 | na | na | na | 240 | na |

Wang et al. [87] | 13 | 12 + 3 | 1 | 1,000 128 | na | 16 | na | PTB MIT-BIH |

13 | ||||||||

Wubbeler et al. [31] | 74 | 3 | 2 | 500 | na | 16 | 10 | PTB |

Yao and Wan [47] | 20 | 1 | 1 | na | na | na | na | na |

Zhang and Wei [27] | 502 | 4 | 1 | 500 | na | na | 10 | na |

Zhao et al. [94] | 28 | na | na | na | 250 | na | na | MIT-BIH-ST Lomg-term-ST PTB |

86 | ||||||||

294 |

## Feature selection

As described in the previous sections, the number of features extracted from the ECG analysis can be very large [1, 28, 34, 52, 60, 74, 93, 112, 117]. However, the information obtained from an extensive set of features is generally redundant. Real-time applications moreover, require a limited number of features in order to allow faster classification. Feature selection is proven to reduce the building and testing time of a classifier by 50 % [118].

The selection of appropriate feature subsets is a critical step in pattern recognition problems; although not all the authors provide feature space dimensionality reduction for ECG based features.

In addition, extracted features are often transformed into new sets by means of linear/nonlinear operators.

Reducing the number of features means identifying the most representative attributes to describe the underlying system/phenomenon.

Israel [14] and Wang [88] used a stepwise canonical correlation [119]. The algorithm starts from one feature adding a new one per iteration; the significance of the features is evaluated by means of Wilks’ Lambda distribution.

Other authors used Principal Component Analysis (PCA) [27, 47, 60, 72, 110, 120] or Linear Discriminant Analysis (LDA) [5, 83, 84, 86, 110, 120, 121] as a feature selection procedure.

*N*is the number of samples,

*C*is the number of classes,

*C*

_{ i }is the number of samples in the corresponding class, and \( \overline{x} = \frac{1}{N}\sum\nolimits_{i = 1}^{C} {\sum\nolimits_{j = 1}^{{C_{i} }} {x_{ij} } } \) is the average of the ensemble. The eigenvectors and associated eigenvalues can be then calculated.

Sorting the associated eigenvalues from the highest to the lowest gives the components in order of significance. Thus, ignoring the components with less significance reduces the feature space dimension.

LDA is a different approach to decrease the dimensionality of a feature set. Given a set of labelled (see “Classifiers”) samples x
_{
1
}
*,…,*
x
_{
N
}, where x
_{
j
} = [*x*
_{
j1
}
*,…,x*
_{
jp
}] *j* = *1,…,N* is a vector of *p* features, the aim of LDA is to project them on a subspace of *M* < *p* dimensions producing the best possible separation between classes maximizing the *Fisher’s ratio*. In the case of *K* classes, maximisation of this ratio is equivalent to solving the problem of finding eigenvectors and eigenvalues of the matrix S
_{
W
}
^{−1
}
S
_{
B
} and taking the first *M* larger eigenvectors as the directions of the subspace. As S
_{
W
} is the within-class covariance matrix, and S
_{
B
} is the between-class covariance matrix, this criterion is roughly equivalent to searching for the direction from which the classes have well-separated means and small intra-class covariance. It should be emphasised that LDA must be operated on labelled data (i.e. the class of each element must be known in advance) while PCA can be used when labels are not known. Li [68] introduced a generalized LDA (HLDA) to handle heteroscedasticity of classes in mixed ECG and accelerometer data analysis.

Feature reduction has also been obtained using the information gain ratio analysis (IGR) [122–124]. IGR has been utilized in decision trees learning algorithms to select amongst feature while growing the tree [125]. IGR is based on the concept of entropy: if the feature can assume *c* different values, then the entropy of S relative to this *c*-*wise* classification is defined as in Eq. 6: where *p*
_{
i
} is the proportion of S belonging to class *i*.

*Values (A)* is the set of all possible values for attribute *A*, and *S*
_{
v
} is the subset of S for which attribute A has value v (i.e., S_{v} = [s ε S|A(s) = v]). Thus, the features are ranked according to their IGR. The selection algorithm begins with an empty set F of best features and then proceeds to add features from the ranked set of features until the classification accuracy begins to drop or it reaches a specific selected value.

Discrete Fourier Transform (DFT), discrete wavelet transform (DWT) or discrete cosine transform (DCT) have also been used to provide concise set of coefficients. With these approaches, the selected features are the coefficients of the transformation that result significantly different from zero [50, 73, 83, 84, 87].

## Classifiers

In pattern recognition problems, classification strategies are the ways with which a vector of analysed features is assigned to a specific subject. Given a vector **x** = [x_{1},x_{2},…,x_{p}] composed by features extracted from the ECG of an unknown subject, the aim of the classifier is to assign **x** to the correct subject. To this aim, a data-set of samples should be available. The data-set is constituted of labelled feature vectors (x_{j}, L) where L is the class (subject) label of the sample j = 1,…,N. Typically, a large number of samples should be available per each subject. In order to evaluate the performance of the classifier (error rate) typically the data-set is divided into a training-set and a test-set. The training-set is used for classifier design while the test-set is used for performance assessment (see “Discussion”).

### Distance based classification

Classifiers can be designed on the basis of several approaches. One common approach leads to assign the unknown sample to the class of the closest sample in the features space. [5, 28, 31, 35, 45, 48–50, 53, 65, 66, 71, 73, 75, 78, 83–85, 87, 88, 95, 111, 112, 114, 122–124, 126–129].

The distance between two feature vectors **x**
_{1}, **x**
_{2} is typically measured using Euclidean norm d(**x**
_{1}, **x**
_{2}) = ||**x**
_{1} − **x**
_{2}||^{2}. A variant of this approach involves preliminary computation of a *template* (or prototype) **μ**
_{
j
} per each class *j* (typically a samples average): the unknown sample is assigned to the class of the closest template (*template matching*).

However, Euclidean norm does not account for sample distributions with unequal variances in different directions. In that case, assuming that all classes share a single covariance matrix **Σ**, a better approach could be to use the minimum Mahalanobis’ distance \( d\left( {x,\mu_{i} } \right) = \left( {x - \mu_{i} } \right)^{T} \varSigma^{ - 1} \left( {x - \mu_{i} } \right) \) between the unknown vector **x** and **μ**
_{
i
} is the mean (*template*) of the *ith* class [16].

_{i}(

**x**), i = 1…N, one per each class: the unknown vector is assigned to class

*k*if g

_{k}(

**x**) > g

_{i}(

**x**) i = 1…N. The discriminant functions can be constructed, for example, using a Bayesian approach. As known, the Bayes formula relates the a posteriori probability that to the a priori distribution of classes and to the

*likelihood*of the features, given a specified class

*k*(see Eq. 8)

**x**is an unknown feature vector,

**Σ**

_{ i }is the covariance matrix of the features of

*i*th class,

**μ**

_{ i }is the template of the

*i*th subject.

*maximum correlation*between two signals (vectors) [64], which exhibits the amount of similarity between two signals. The correlation is defined as in Eq. 10

*x*[

*i*] and

*y*[

*i*]

*i*=

*1,…,P*, represent two different ECG signal windows of length

*N*, \( E_{x} = \sum\nolimits_{i = 0}^{N} {x^{2} [i]} \) is the energy of the signal. It achieves the maximum value for m = 0.

Israel [14] and Shen [5] used the LDA technique [130]. LDA was born as a method for dimensionality reduction; however it can also be used for classifier design.

Chan [48] used three different distances: percent residual difference (PRD) that quantifies the amount of differences between two ECG with respect to the variability contained in the unknown ECG; correlation coefficient (CCORR) that measures the least squares fitting of the two ECG to be compared and WDIST that measures the difference between the discrete wavelet coefficients of the two ECGs.

### Neural networks

In the context of subject recognition by ECG processing, Neural Networks (NN) have been used in [8, 33, 58, 59, 66, 69, 71, 78, 90, 93, 120, 124, 131]. The most successful NN is the Multi Layer Perceptron (MLP). In contrast to the conventional approaches seen in the previous section, MLP is capable to solve complex non-linear classification problems.

**x**

**=**[x

_{ 1 },…,x

_{ p }]: in particular, each input has a (synaptic) weight

**w**

_{j}

^{T}= [w

_{ j1 },…,w

_{ jp }], in order that the output z

_{ j }of the neuron

*j*is the action of the activation function on a linear combination as z

_{ j }

**=**h(

**w**

_{j}

^{T}

**x**). Therefore, the output of the system is given by z

_{ j }

**=**σ(

**w**

_{j}

^{(2)T}h(

**w**

_{j}

^{(1)T}

**x**)) where the superscript (1) refer to the first (hidden) layer of neurons, and the superscript (2) refer to the second (output) layer of neurons.

While a single layer NN can solve only linearly separable problems (sample are separable via a hyperplane in the features space), a hidden layer is typically added to give the MLP the capability to solve non-linearly separable problems (Fig. 7).

### Non-conventional approaches

Wang et al. [87] used nearest neighbour (NN) classifiers in combination with Euclidean distance. However, they used a hierarchical approach and features integration. More importantly, they introduced a new approach in this field: the hierarchical approach that divides the problem in two sub problems (large class to small class problem): first, they used a first-level classification based on analytic features only (time + amplitude of fiducial points), then used PCA based classification module to classify subjects that can be potentially confused by the first stage!!

Singh and Singh used a different approach [30]. Per each subject *j* in the database they constructed a Pattern Matrix **P**
^{(j)} in the following way. Per each subject they ‘arbitrarily’ selected a number *m* of heartbeats. Per each heartbeat they extracted *p* features \( x_{k}^{(j)} = \, \left[ {x_{k1}^{(j)} , \ldots ,x_{kp}^{(j)} } \right] \) where *k* = *1,…,m*: the latter are the rows of the Pattern Matrix. Given an unknown vector **x** the distance score measure \( s^{{(j)}} = \frac{1}{m}\sum\nolimits_{{k = 1}}^{m} {s_{k}^{{(j)}} } = \frac{1}{m}\sum\nolimits_{{k = 1}}^{m} {} \sum\nolimits_{{r = 1}}^{p} {\left| {x_{{kr}}^{{(j)}} - x_{r} } \right|} \) a smaller score indicates a good match.

## Discussion

Estimation of the overall performance of the use of ECG as biometric

References | IR (%) | AEER | IRW | AW | WIR (%) | WA (%) |
---|---|---|---|---|---|---|

Agrafioti and Hatzinakos [85] | 100.00 | na | 0.010 | na | 0.61 | na |

Agrafioti and Hatzinakos [83] | 96.20 | 0.87 | 0.020 | 0.10 | 2.35 | 0.08 |

Biel et al. [1] | 98.00 | na | 0.010 | na | 0.86 | na |

Boumbarov et al. [120] | 86.11 | na | 0.000 | na | 0.34 | na |

Chan et al. [48] | 89.00 | na | 0.020 | na | 1.94 | na |

Chan et al. [49] | 100.00 | na | 0.030 | na | 2.62 | na |

Chen et al. [90] | 91.20 | na | 0.010 | na | 0.76 | na |

Fang and Chan [28] | 95.00 | na | 0.040 | na | 4.15 | na |

Fatemian and Hatzinakos [64] | 99.63 | na | 0.010 | na | 1.17 | na |

Israel et al. [14] | 100.00 | na | 0.010 | na | 1.27 | na |

Khalil and Sufi [35] | na | na | na | na | na | na |

Kim et al. [45] | Na | na | na | na | na | na |

Kyoso and Uchiyama [4] | 94.20 | na | 0.000 | na | 0.37 | na |

Loong et al. [93] | 100.00 | na | 0.010 | na | 0.66 | na |

Lourenco et al. [65] | 94.30 | 10.10 | 0.010 | 0.03 | 0.66 | 0.28 |

Odinaka et al. [54] | 99.00 | 0.37 | 0.012 | 0.46 | 11.63 | 0.17 |

Pathoumvanh et al. [132] | 97.00 | na | 0.000 | na | 0.42 | na |

Pereira et al. [112] | 99.00 | 0.70 | 0.030 | 0.13 | 3.33 | 0.09 |

Safie et al. [70] | 93.60 | na | 0.050 | na | 4.58 | na |

Shen and Tompkins [26] | 95.30 | na | 0.070 | na | 6.99 | na |

Silva et al. [113] | na | na | na | na | na | |

Singh [77] | 82.00 | 0.10 | 0.030 | 0.13 | 2.61 | 0.01 |

Singh and Gupta [76] | 99.00 | na | 0.020 | na | 2.16 | na |

Sriram et al. [114] | 97.00 | 15.00 | 0.010 | 0.03 | 0.72 | 0.44 |

Tawfik and Kamal [78] | 99.08 | na | 0.010 | na | 0.95 | na |

Wan and Yao [59] | 100.00 | na | 0.020 | na | 1.66 | na |

Wang et al. [87] | 100.00 | na | 0.010 | na | 1.14 | na |

Wubbeler et al. [31] | 99.00 | 0.03 | 0.030 | 0.13 | 3.20 | 0.00 |

Yao and Wan [47] | 91.48 | na | 0.010 | na | 0.80 | na |

Zhang and Wei [27] | 97.40 | na | 0.220 | na | 21.35 | na |

Zhao et al. [94] | 95.00 | na | 0.180 | na | 16.93 | na |

Total | 96.22 | 1.16 |

Our results pointed out that subject identification depends primarily on the choice of the utilised feature(s). Fiducial based approaches benefit of well-established normalization algorithms to compensate for changes in ECG signal due to the heart rate variability [111, 132] but they are commonly affected by the performance of the fiducials detection algorithms.

Non fiducial based approaches, conversely, offer a promising alternative to reduce error rate and computational effort. They do not require the identification of ECG waves and have the advantage to potentially take into account *fine* features which could be lost using fiducials.

The choice of number of leads influences the recognizer outcomes. Many authors investigated the performances of multi lead systems, others have also investigated ECG related signals [20, 22, 133]; however, we believe that the feasibility of biometric identification via ECG analysis could only be obtained by limiting the number of required leads/signals: to this regard, single ECG lead systems would be desirable.

The time span in which the selected features are effective is also an important matter of research. Most of the published studies considered the capacity of a system to identify a subject only at a specific time; few papers addressed the variability of ECG features with time or with physiological (e.g. subject’s aging, stress, activity, etc.) or pathological conditions [79, 134–140].

Lastly, studies generally rely on post hoc analyses, although some real time examples have been reported [136, 141, 142].

## Conclusions

Four major issues must be highlighted regarding the adequacy of the studies conducted so far. First, while a great effort has been spent in feature selection and classifier design, it is not yet clear what is the best set of features and classification scheme for ECG biometrics (hierarchical, ensemble etc.). Non-fiducial based techniques can reduce the computational effort as well as the error rate due to the ECG waves recognition. Therefore, it is expected that the new techniques to be developed will use fiducials and non-fiducial based features in order to catch the best of both approaches. Further analysis should be addressed on the use of single lead recordings and the study of features which are not dependent on the recording sites (e.g. fingers, hand palms).

Second, as regards the population size, the majority of the studies have been conducted on a small population (about a few tens of subjects). Therefore, the applicability of ECG biometric recognition on a large scale (real life authentication scenario) it is not yet proven.

Third, almost all studies (except for [17] and [31] ) ignored the variability of the ECG during life span (i.e. variability induced by work, ageing, iterate sport activity etc.); moreover, only few studies [57, 83, 136] considered the applicability of these techniques when subjects suffer from pathological conditions. ECG recognition in pathological subjects is another aspect worth of additional investigations.

Fourth, it must be emphasised that, while guidelines are available for ECG acquisition in the clinical scenario, there is still a lack of standardisation on ECG acquisition (number of leads and their positioning, sampling frequency, number of bits, filtering, type of electrodes, number of leads etc.) for biometrics applications. However, ECG databases for biometric recognition should ideally include recordings, at a given sampling frequency and conditions, from the same subjects in different circumstances (e.g. relaxed, during and after physical training) and along a period of several years.

If addressed, the mentioned challenges will contribute to move this promising technique from its state of adolescence to a proper daily life adoption.

## Declarations

### Author’s contributions

All the authors actively participated in the literature analysis, the interpretation of results and in the preparation of the manuscript. All authors read and approved the final manuscript.

### Acknowledgements

Authors would like to thank Flavia Tizzano for her help in selecting relevant papers.

### Compliance with ethical guidelines

**Competing interests** The authors declare that they do not have competing interests.

**Open Access**This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated.

## Authors’ Affiliations

## References

- Biel L, Pettersson O, Philipson L, Wide P. ECG analysis: a new approach in human identification. IEEE Trans Instrum Meas. 2001;50(3):808–12
**(IEEE)**.View ArticleGoogle Scholar - Israel SA, Scruggs WT, Worek WJ, Irvine JM. Fusing face and ECG for personal identification. In: Proceedings of the 32nd applied imagery pattern recognition workshop, 2003. IEEE. 2003. p. 226–31.Google Scholar
- Kim KH, Bang SW, Kim SR. Emotion recognition system using short-term monitoring of physiological signals. Med Bio Eng Comput. 2004;42(3):419–27
**(Springer)**.View ArticleGoogle Scholar - Kyoso M, Uchiyama A (2001) Development of an ECG identification system. In: IEMBS-01, vol 4, IEEE. 2001. p. 3721–3.Google Scholar
- Shen T-W, Tompkins WJ, Hu YH. Implementation of a one-lead ECG human identification system on a normal population. J Eng Comput Innov. 2011;2(1):12–21.Google Scholar
- Ballard L, Lopresti D, Monrose F. Forgery quality and its implications for behavioral biometric security. IEEE Trans Syst Man Cybern Part B Cybern. 2007;37(5):1107–18
**(IEEE)**.View ArticleGoogle Scholar - Määttä J, Hadid A, Pietikäinen M. Face spoofing detection from single images using texture and local shape analysis. Biom IET. 2012;1(1):3–10.View ArticleGoogle Scholar
- Palaniappan R, Krishnan SM. Identifying individuals using ECG beats. In: International conference on signal processing and communications, 2004 SPCOM ’04, 2004. 2004. p. 569–72.Google Scholar
- Singh YN, Singh SK. Vitality detection from biometrics: state-of-the-art. In: World congress on information and communication technologies (WICT), 2011. 2011. p. 106–11.Google Scholar
- Van der Putte T, Keuning J. Biometrical fingerprint recognition: don’t get your fingers burned. USA: Springer; 2000. p. 289–303.Google Scholar
- Biggio B, Akhtar Z, Fumera G, Marcialis GL, Roli F. Security evaluation of biometric authentication systems under real spoofing attacks. Iet Biom. 2012;1(1):11–24
**(IET Digital Library)**.View ArticleGoogle Scholar - Galbally J, Alonso-Fernandez F, Fierrez J, Ortega-Garcia J. A high performance fingerprint liveness detection method based on quality related features. Future Gener Comput Syst. 2012;28(1):311–21.View ArticleGoogle Scholar
- Hoekema R, Uijen GJ, van Oosterom A. Geometrical aspects of the interindividual variability of multilead ECG recordings. IEEE Trans Biomed Eng. 2001;48(5):551–9.View ArticleGoogle Scholar
- Israel SA, Irvine JM, Cheng A, Wiederhold MD, Wiederhold BK. ECG to identify individuals. Pattern Recognit. 2005;38(1):133–42.View ArticleGoogle Scholar
- Carreiras C, Lourenço A, Fred A, Ferreira R. ECG signals for biometric applications: are we there yet? In: ICINCO 2014—Proceedings of the 11th international conference on informatics in control, automation and robotics. 2014. p. 765–72.Google Scholar
- Kyoso M. A technique for avoiding false acceptance in ECG identification. In: IEEE EMBS asian-pacific conference on biomedical engineering, 2003. 2003. p. 190–1.Google Scholar
- Odinaka I, Lai P-H, Kaplan AD, O’Sullivan JA, Sirevaag EJ, Rohrbaugh JW. ECG biometric recognition: a comparative analysis. IEEE Trans Inf Forensics Secur. 2012;7(6):1812–24.View ArticleGoogle Scholar
- Nasri B, Guennoun M, El-Khatib K. Using ECG as a measure in biometric identification systems. In: Science and technology for humanity (TIC-STH), 2009 IEEE Toronto international conference. 2009. p. 28–33.Google Scholar
- Israel SA, Irvine JM. Heartbeat biometrics: a sensing system perspective. IJCB. 2012;1(1):39.View ArticleGoogle Scholar
- Abo-Zahhad M, Ahmed SM, Abbas SN. Biometric authentication based on PCG and ECG signals: present status and future directions. Signal Image Video Process. 2014;8(4):739–51.View ArticleGoogle Scholar
- Bugdol MD, Mitas AW. Multimodal biometric system combining ECG and sound signals. Pattern Recognit Lett. 2014;38(1):107–12.View ArticleGoogle Scholar
- Odinaka I, O’Sullivan JA, Sirevaag EJ, Rohrbaugh JW. Cardiovascular biometrics: combining mechanical and electrical signals. IEEE Trans Inf Forensics Secur. 2015;10(1):16–27.View ArticleGoogle Scholar
- Mishra P, Singla SK. Artifact removal from biosignal using fixed point ICA algorithm for pre-processing in biometric recognition. Meas Sci Rev. 2013;13(1):7–11.View ArticleGoogle Scholar
- Sidek KA, Khalil I. Enhancement of low sampling frequency recordings for ECG biometric matching using interpolation. Computer Methods Programs Biomed. 2013;109(1):13–25
**(Elsevier)**.View ArticleGoogle Scholar - Kohler BU, Hennig C, Orglmeister R. The principles of software QRS detection. Eng Med Biol Mag IEEE. 2002;21(1):42–57.View ArticleGoogle Scholar
- Shen T, Tompkins W. Biometric statistical study of one-lead ECG features and body mass index (BMI). Conf Proc IEEE Eng Med Biol Soc. 2005;2:1162–5.Google Scholar
- Zhang Z, Wei D. A new ECG identification method using Bayes’ teorem. In: TENCON 2006, 2006 IEEE region 10 conference. 2006. p. 1–4.Google Scholar
- Fang S-C, Chan H-L. Human identification by quantifying similarity and dissimilarity in electrocardiogram phase space. Pattern Recognit. 2009;42(9):1824–31.View ArticleGoogle Scholar
- Hurst JW. Naming of the waves in the ECG, with a brief account of their genesis. Circulation. 1998;98(18):1937–42.View ArticleGoogle Scholar
- Singh YN, Gupta P. Biometrics method for human identification using electrocardiogram. In: Advances in biometrics. New York: Springer; 2009. p. 1270–9.Google Scholar
- Wübbeler G, Stavridis M, Kreiseler D, Bousseljot R-D, Elster C. Verification of humans using the electrocardiogram. Pattern Recognit Lett. 2007;28(10):1172–5
**(Elsevier)**.View ArticleGoogle Scholar - Burch GE. The history of vectorcardiography. Med Hist Suppl. 1985;5:103–31.View ArticleGoogle Scholar
- Chen C-K, Lin C-L, Chiu Y-M. Individual identification based on chaotic electrocardiogram signals. In: 2011 6th IEEE conference on industrial electronics and applications (ICIEA). IEEE. 2011. p. 1771–6.Google Scholar
- Fang S-C, Chan H-L. QRS detection-free electrocardiogram biometrics in the reconstructed phase space. Pattern Recognit Lett. 2013;34(5):595–602.View ArticleGoogle Scholar
- Khalil I, Sufi F. Legendre polynomials based biometric authentication using QRS complex of ECG. In: International conference on intelligent sensors, sensor networks and information processing, 2008 ISSNIP 2008. IEEE. 2008. p. 297–302.Google Scholar
- Sufi F, Khalil I. An automated patient authentication system for remote telecardiology. In: International conference on intelligent sensors, sensor networks and information processing, 2008 ISSNIP 2008. IEEE. 2008. p. 279–84.Google Scholar
- Gargiulo GD, McEwan AL, Bifulco P, Cesarelli M, Jin C, Tapson J. Towards true unipolar ECG recording without the Wilson central terminal (preliminary results). Physiol Meas. 2013;34(9):991–1012.View ArticleGoogle Scholar
- Morris F, Brady WJ, Camm J. ABC of clinical electrocardiography. New York: Wiley; 2009. p. 112.Google Scholar
- Gargiulo GD, McEwan AL, Bifulco P, Cesarelli M, Jin C, Tapson J, et al. Towards true unipolar bio-potential recording: a preliminary result for ECG. Physiol Meas. 2013;34(1):N1–7.View ArticleGoogle Scholar
- Forsen GE, Nelson MR, Staron RJJ. Personal attributes authentication techniques. 1977 (In).Google Scholar
- Biel L, Pettersson O, Philipson L, Wide P. ECG analysis: a new approach in human identification. In: Proceedings of the 16th IEEE instrumentation and measurement technology conference, 1999 IMTC/99, vol 1. 1999. p. 557–61.Google Scholar
- Hoekema R, Uijen GJH, van Oosterom A. Geometrical aspects of the inter-individual variability of multilead ECG recordings. Comput Cardiol. 1999. p. 499–502.Google Scholar
- van Oosterom A, Hoekema R, Uijen GJH. Geometrical factors affecting the interindividual variability of the ECG and the VCG. J Electrocardiol. 2000;33:219–27.View ArticleGoogle Scholar
- Pan J, Tompkins WJ. A real-time QRS detection algorithm. IEEE Trans Biomed Eng BME. 1985;32(3):230–6.View ArticleGoogle Scholar
- Kim K-S, Yoon T-H, Lee J-W, Kim D-J, Koo H-S. A robust human identification by normalized time-domain features of electrocardiogram. In: 27th annual international conference of the engineering in medicine and biology society, 2005 IEEE-EMBS 2005. 2005. p. 1114–7.Google Scholar
- Almeida R, Nez JPM, Rocha AP, Laguna P. Multilead ECG delineation using spatially projected leads from wavelet transform loops. IEEE Trans Biomed Eng. 2009;56(8):1996–2005.View ArticleGoogle Scholar
- Yao J, Wan Y. A wavelet method for biometric identification using wearable ECG sensors. In 5th international summer school and symposium on medical devices and biosensors, 2008 ISSS-MDBS 2008. 2008. p. 297–300.Google Scholar
- Chan ADC, Hamdy MM, Badre A, Badee V. Wavelet distance measure for person identification using electrocardiograms. IEEE Trans Instrum Meas. 2008;57(2):248–53.View ArticleGoogle Scholar
- Chan ADC, Hamdy MM, Badre A, Badee V. Person identification using electrocardiograms. In: Canadian conference on electrical and computer engineering, 2006 CCECE ‘06. 2006. p. 1–4.Google Scholar
- Chiu C-C, Chuang C-M, Hsu C-Y. A novel personal identity verification approach using a discrete wavelet transform of the ECG signal. In: International conference on multimedia and ubiquitous engineering, 2008 MUE. IEEE. 2008. p. 201–6.Google Scholar
- Coutinho DP, Fred ALN, Figueiredo MAT. One-lead ECG-based personal identification using Ziv-Merhav cross parsing. In: 20th international conference on pattern recognition (ICPR), 2010. IEEE. 2010. p. 3858–61.Google Scholar
- Fratini A, Sansone M, Bifulco P, Romano M, Pepino A, Cesarelli M, et al. Individual identification using electrocardiogram morphology. In: IEEE international symposium on medical measurements and applications proceedings (MeMeA), 2013. 2013. p. 107–10.Google Scholar
- Lourenco A, Silva H, Fred A. ECG-based biometrics: a real time classification approach. In: IEEE international workshop on machine learning for signal processing (MLSP), 2012. 2012. p. 1–6.Google Scholar
- Odinaka I, Lai P-H, Kaplan AD, O’Sullivan JA, Sirevaag EJ, Kristjansson SD, et al. ECG biometrics: a robust short-time frequency analysis. In: IEEE international workshop on information forensics and security (WIFS), 2010. IEEE. 2010. p. 1–6.Google Scholar
- Poree F, Gallix A, Carrault G (2011) Biometric identification of individuals based on the ECG. Which conditions? Comput Cardiol 1999. p. 761–4 (IEEE).Google Scholar
- Shen J, Bao S-D, Yang L-C, Li Y. The PLR-DTW method for ECG based biometric identification. In: 2011 33rd annual international conference of the IEEE engineering in medicine and biology society. IEEE. 2011. p. 5248–51.Google Scholar
- Sidek KA, Khalil I. Person identification in irregular cardiac conditions using electrocardiogram signals. In: Engineering in medicine and biology society, EMBC, 2011 annual international conference of the IEEE. 2011. p. 3772–5.Google Scholar
- Tashiro F, Aoyama T, Shimuta T, Ishikawa H, Shimatani Y, Ishijima M, et al. Individual identification with high frequency ECG: preprocessing and classification by neural network. Conf Proc IEEE Eng Med Biol Soc. 2011;2011:2749–51.Google Scholar
- Wan Y, Yao J. A neural network to identify human subjects with electrocardiogram signals. In: Proceedings of the world congress on engineering and computer science 2008, WCECS 2008. 2008.Google Scholar
- Ye C, Coimbra MT, Kumar BVKV. Investigation of human identification using two-lead electrocardiogram (ECG) signals. In: Fourth IEEE international conference on biometrics: theory applications and systems (BTAS), 2010. IEEE. 2010. p. 1–8.Google Scholar
- Zhao Z, Yang L. ECG identification based on matching pursuit. In: 4th international conference on biomedical engineering and informatics (BMEI), 2011, vol 2. 2011. p. 721–4.Google Scholar
- Zheng G, Li Z-Y, Liu T-T, Dai M, editors. Study of human identification by electrocardiogram waveform morph. Berlin, Heidelberg: Springer; 2011.Google Scholar
- Tantawi M, Salem A, Tolba MF. Fiducial based approach to ECG biometrics using limited fiducial points. Commun Comput Inf Sci. 2014. p. 199–210.Google Scholar
- Fatemian SZ, Hatzinakos D. A new ECG feature extractor for biometric recognition. In: 16th international conference on digital signal processing, 2009. 2009. p. 1–6.Google Scholar
- Lourenço A, Silva H, Fred A. Unveiling the biometric potential of finger-based ECG signals. Comput Intell Neurosci. 2011;1:1–8
**(Hindawi Publishing Corp.)**.View ArticleGoogle Scholar - Tawfik MM, Selim H, Kamal T. Human identification using time normalized QT signal and the QRS complex of the ECG. In: 7th international symposium on communication systems networks and digital signal processing (CSNDSP), 2010. 2010. p. 755–9.Google Scholar
- Lourenco A, Silva H, Santos DP, Fred A. Towards a finger based ECG biometric system. Biosignals. 2011;2011:348–53.Google Scholar
- Li M, Rozgić V, Thatte G, Lee S, Emken BA, Annavaram M, et al. Multimodal physical activity recognition by fusing temporal and cepstral information. IEEE Trans Neural Syst Rehabil Eng. 2010;18(4):369–80.View ArticleGoogle Scholar
- Tsao Y-T, Shen T-W, Ko T-F, Lin T-H. The morphology of the eectrocardiogram for evaluating ECG biometrics. In: 9th international conference on e-health networking, application and services, 2007. 2007. p. 233–5.Google Scholar
- Safie SI, Soraghan JJ, Petropoulakis L. Electrocardiogram (ECG) biometric authentication using pulse active ratio (PAR). IEEE Trans Inf Forensics Secur. 2011;6(4):1315–22.View ArticleGoogle Scholar
- Saechia S, Koseeyaporn J, Wardkein P. Human identification system based ECG signal. In: TENCON 2005, 2005 IEEE Region, vol 10. 2005. p. 1–4.Google Scholar
- Hou LS, Subari KS, Syahril S. QRS-complex of ECG-based biometrics in a two-level classifier. In: TENCON 2011, IEEE region 10 conference. 2011. p. 1159–63.Google Scholar
- Plataniotis KN, Hatzinakos D, Lee JKM. ECG biometric recognition without fiducial detection. In: Biometrics symposium: special session on research at the biometric consortium conference, 2006. IEEE. 2006. p. 1–6.Google Scholar
- Fattah SA, Jameel ASMM, Goswami R, Saha SK, Syed N, Akter S, et al. An approach for human identification based on time and frequency domain features extracted from ECG signals. In: TENCON 2011, 2011 IEEE region 10 conference. IEEE. 2011. p. 259–63.Google Scholar
- Singh YN, Gupta P. ECG to individual identification. In: 2008 IEEE second international conference on biometrics: theory, applications and systems. IEEE. 2008. p. 1–8.Google Scholar
- Singh YN, Gupta P. Correlation-based classification of heartbeats for individual identification. Soft Comput. 2011;15(3):449–60
**(Springer)**.View ArticleGoogle Scholar - Singh YN. Evaluation of electrocardiogram for biometric authentication. JIS. 2012;03(01):39–48.View ArticleGoogle Scholar
- Tawfik MM, Kamal HST. Human identification using QT signal and QRS complex of the ECG. Online J Electron Electr Eng (OJEEE). 2011;3:1–5.Google Scholar
- Sansone M, Fratini A, Cesarelli M, Bifulco P, Pepino A, Romano M, et al. Influence of QT correction on temporal and amplitude features for human identification via ECG. In: 2013 IEEE workshop on biometric measurements and systems for security and medical applications (BIOMS). 2013. p. 22–7.Google Scholar
- Sagie A, Larson MG, Goldberg RJ, Bengtson JR, Levy D. An improved method for adjusting the QT interval for heart rate (the Framingham Heart Study). Am J Cardiol. 1992;70(7):797–801.View ArticleGoogle Scholar
- Sörnmo L, Laguna P. Bioelectrical signal processing in cardiac and neurological applications. Amsterdam: Elsevier; 2005.Google Scholar
- Fratini A, Bifulco P, Romano M, Clemente F, Cesarelli M. Simulation of surface EMG for the analysis of muscle activity during whole body vibratory stimulation. Comput Methods Programs Biomed. 2013;113(1):314–22.View ArticleGoogle Scholar
- Agrafioti F, Hatzinakos D. ECG biometric analysis in cardiac irregularity conditions. SIViP. 2008;3(4):329–43.View ArticleGoogle Scholar
- Agrafioti F, Hatzinakos D. ECG based recognition using second order statistics. In: 2008 6th annual communication networks and services research conference (CNSR). IEEE. 2008. p. 82–7Google Scholar
- Agrafioti F, Hatzinakos D. Fusion of ECG sources for human identification. In: 3rd international symposium on communications, control and signal processing, 2008 ISCCSP. 2008. p. 1542–7.Google Scholar
- Agrafioti F, Hatzinakos D. Signal validation for cardiac biometrics. In: 2010 IEEE international conference on acoustics speech and signal processing (ICASSP). IEEE. 2010. p. 1734–7.Google Scholar
- Wang Y, Agrafioti F, Hatzinakos D, Plataniotis KN. Analysis of human electrocardiogram for biometric recognition. EURASIP J Adv Signal Process. 2008;1:148658.View ArticleGoogle Scholar
- Wang Y, Plataniotis KN, Hatzinakos D. Integrating analytic and appearance attributes for human identification from ECG signals. In: Special session on research at the biometric consortium conference, 2006 biometrics symposium. 2006. p. 1–6.Google Scholar
- Ziv J, Merhav N. A measure of relative entropy between individual sequences with application to universal classification. IEEE Trans Inf Theory. 1993;39(4):1270–9.MathSciNetView ArticleGoogle Scholar
- Chen C-K, Lin C-L, Lin S-L, Chiu Y-M, Chiang C-T. A chaotic theorectical approach to ECG-based identity recognition [application notes]. IEEE Comput Intell Mag. 2014;9(1):53–63.View ArticleGoogle Scholar
- Aghakabi A, Zokaee S. Fusing dorsal hand vein and ECG for personal identification. In: 2011 international conference on electrical and control engineering (ICECE). 2011. p. 5933–6.Google Scholar
- Kouchaki S, Dehghani A, Omranian S, Boostani R. ECG-based personal identification using empirical mode decomposition and Hilbert transform. In: 2012 16th CSI international symposium on artificial intelligence and signal processing (AISP). 2012. p. 569–73.Google Scholar
- Loong JLC, Subari KS, Besar R, Abdullah MK. A new approach to ECG biometric systems: a comparative study between LPC and WPD systems. World Acad Sci Eng Technol. 2010;68:759–64.Google Scholar
- Zhao Z, Yang L, Chen D, Luo Y. A human ECG Identification system based on ensemble empirical mode decomposition. Sensors. 2013;13(5):6832–64.View ArticleGoogle Scholar
- Zokaee S, Faez K. Human identification based on ECG and palmprint. Int J Electr Comput Eng (IJECE). 2012;2(2):261–6.Google Scholar
- Morettin PA. The Levinson algorithm and its applications in time series analysis. In: International statistical review/revue internationale de statistique, vol 52. International Statistical Institute (ISI). 1984. p. 83–92 (vol 1).Google Scholar
- Huang NE, Shen Z, Long SR, Wu MC, Shih HH, Zheng Q, et al. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proc R Soc A Math Phys Eng Sci. 1998;454(1971):903–95.MathSciNetView ArticleGoogle Scholar
- IMAI S. Cepstral analysis synthesis on the mel frequency scale. In: Acoustics, speech, and signal processing, IEEE international conference on ICASSP ’83, vol 8. IEEE Press Request Permissions. 1983. p. 93–6 (vol 3).Google Scholar
- Stevens SS, Volkmann J, Newman EB. A scale for the measurement of the psychological magnitude of pitch. J Acoust Soc Am. 1937;8:185–90.View ArticleGoogle Scholar
- Ergin S, Uysal AK, Gunal ES, Gunal S, Gulmezoglu MB. ECG based biometric authentication using ensemble of features. In: Iberian conference on information systems and technologies, CISTI. 2014.Google Scholar
- Raj PS, Hatzinakos D. Feasibility of single-arm single-lead ECG biometrics. In: European signal processing conference. 2014. p. 2525–9.Google Scholar
- Goldberger AL, Amaral LAN, Glass L, Hausdorff JM, Ivanov PC, Mark RG. PhysioBank, PhysioToolkit, and PhysioNet : components of a new research resource for complex physiologic signals. Circulation. 2000;101(23):e215–20.View ArticleGoogle Scholar
- Moody GB, Mark RG. The impact of the MIT-BIH arrhythmia database. Eng Med Biol Mag IEEE. 2001;20(3):45–50.View ArticleGoogle Scholar
- Greenwald SD, Patil RS, Mark RG. Improved arrhythmia detection in noisy ECGs through the use of expert systems. In: Proceedings of the computers in cardiology, 1988. 1988. p. 163–5.Google Scholar
- Laguna P, Mark RG, Goldberg A, Moody GB. A database for evaluation of algorithms for measurement of QT and other waveform intervals in the ECG. Comput Cardiol. 1997;1997:673–6.Google Scholar
- Jager F, Taddei A, Moody GB, Emdin M, Antolič G, Dorn R. Long-term ST database: a reference for the development and evaluation of automated ischaemia detectors and for the study of the dynamics of myocardial ischaemia. Med Bio Eng Comput. 2003;41(2):172–82
**(Springer)**.View ArticleGoogle Scholar - Taddei A, Distante G, Emdin M, Pisani P, Moody GB, Zeelenberg C, et al. The European ST-T database: standard for evaluating systems for the analysis of ST-T changes in ambulatory electrocardiography. Eur Heart J. 1992;13(9):1164–72.Google Scholar
- Moody GB, Goldberger A, McClennen S, Swiryn S. Predicting the onset of paroxysmal atrial fibrillation: the computers in cardiology challenge 2001. Comput Cardiol. 2001;2001:113–6.Google Scholar
- Bousseljot R, Kreiseler D, Schnabel A. Nutzung der EKG-Signaldatenbank CARDIODAT der PTB über das Internet. In: Biomedizinische Technik/Biomedical Engineering. 1995. p. 317–8.Google Scholar
- Boumbarov O, Velchev Y, Sokolov S. Personal biometric identification based on ECG features. J Inf Technol Control. 2008;3(4):11–8.Google Scholar
- Irvine JM, Israel SA. A sequential procedure for individual identity verification using ECG. In: EURASIP J Adv Signal Process, 6th edn. 2009. p. 42–57 (vol 5).Google Scholar
- Coutinho D, Silva H, Gamboa H, Fred A, Figueiredo M. Novel fiducial and non-fiducial approaches to electrocardiogram-based biometric systems. Biom IET. 2013;2(2):64–75.View ArticleGoogle Scholar
- Silva H, Lourenco A, Lourenco R, Leite P, Coutinho D, Fred A. Study and evaluation of a single differential sensor design based on electro-textile electrodes for ECG biometrics applications. In: Sensors, 2011 IEEE. 2011. p. 1764–7.Google Scholar
- Sriram JC, Shin M, Choudhury T, Kotz D. Activity-aware ECG-based patient authentication for remote health monitoring. In: Proceedings of the 2009 international conference on multimodal interfaces. ACM; 2009. p. 297–304.Google Scholar
- Derawi M. Wireless chest-based ECG biometrics. In: Lecture notes in electrical engineering, vol 330. 2015. p. 566–79.Google Scholar
- Derawi M, Voitenko I, Endrerud PE. Real-time wireless ECG biometrics with mobile devices. In: Proceedings—2014 international conference on medical biometrics, ICMB 2014. 2014. p. 151–6.Google Scholar
- Zheng G, Yu T. Study of hybrid strategy for ambulatory ECG waveform clustering. J Softw. 2011;6(7):1257–64.View ArticleGoogle Scholar
- Chen Y, Li Y, Cheng X-Q, Guo L. Survey and taxonomy of feature selection algorithms in intrusion detection system. In: Information security and cryptology, vol 4318. Berlin, Heidelberg: Springer; 2006. p. 153–67 (Chapter 13).Google Scholar
- Morrison DF. Multivariate statistical methods. In: McGraw Hill professional. 1976.Google Scholar
- Boumbarov O, Velchev Y, Sokolov S. ECG personal identification in subspaces using radial basis neural networks. In: 2009 IEEE international workshop on intelligent data acquisition and advanced computing systems: technology and applications, 2009 IDAACS. 2009. p. 446–51.Google Scholar
- Zhao C, Wysocki T, Agrafioti F, Hatzinakos D. Securing handheld devices and fingerprint readers with ECG biometrics. In: 2012 IEEE fifth international conference on biometrics: theory, applications and systems (BTAS). 2012. p. 150–5.Google Scholar
- Gahi Y, Lamrani M, Zoglat A, Guennoun M, Kapralos B, El-Khatib K. Biometric identification system based on electrocardiogram data. In: New technologies, mobility and security, 2008 NTMS ‘08. 2008. p. 1–5.Google Scholar
- Guennoun M, Guennoun ZE, El-Khatib K. Efficiency in the design of a biometric identification system based on electrocardiogram data. In: International conference on computer engineering and applications. 2009. p. 1–5.Google Scholar
- Tantawi MM, Revett K, Salem A, Tolba MF. Fiducial feature reduction analysis for electrocardiogram (ECG) based biometric recognition. J Intell Inf Syst. 2012;40(1):17–39.View ArticleGoogle Scholar
- Mitchell TM. Machine learning. In: McGraw-Hill, Inc. 1997. p. 432.Google Scholar
- Sasikala P, Wahidauanu R. Identification of individuals using electrocardiogram. In: International journal of computer science and network security. 2010.Google Scholar
- Silva H, Gamboa H, Fred A. One lead ECG based personal identification with feature subspace ensembles. In: Lecture notes in computer science, vol 4571. Berlin, Heidelberg: Springer; 2007. p. 770–83.Google Scholar
- Silva H, Gamboa H, Fred A. Applicability of lead v2 ECG measurements in biometrics. In: Med-e-Tel proceedings. 2007.Google Scholar
- Venkatesh N, Jayaraman S. Human electrocardiogram for biometrics using DTW and FLDA. In: 2010 20th international conference on pattern recognition (ICPR). 2010. p. 3838–41.Google Scholar
- Bishop CM. Pattern recognition and machine learning. New York: Springer; 2006. p. 738.Google Scholar
- Mai V, Khalil I, Meli C. ECG biometric using multilayer perceptron and radial basis function neural networks. Conf Proc IEEE Eng Med Biol Soc. 2011;2011:2745–8.Google Scholar
- Pathoumvanh S, Airphaiboon S, Hamamoto K. Robustness study of ECG biometric identification in heart rate variability conditions. IEEJ Trans Electr Electron Eng. 2014;9(3):294–301.View ArticleGoogle Scholar
- Venugopalan S, Savvides M, Griofa MO, Cohen K. Analysis of low-dimensional radio-frequency impedance-based cardio-synchronous waveforms for biometric authentication. IEEE Trans Biomed Eng. 2014;61(8):2324–35.View ArticleGoogle Scholar
- Lin SL, Chen CK, Lin CL, Yang WC, Chiang CT. Individual identification based on chaotic electrocardiogram signals during muscular exercise. IET Biom. 2014;3(4):257–66.View ArticleGoogle Scholar
- Porée F, Kervio G, Carrault G. ECG biometric analysis in different physiological recording conditions. Signal, image and video processing. 2014.Google Scholar
- Sidek KA, Mai V, Khalil I. Data mining in mobile ECG based biometric identification. J Netw Comput Appl. 2014;44:83–91.View ArticleGoogle Scholar
- Wahabi S, Pouryayevali S, Hari S, Hatzinakos D. On evaluating ECG biometric systems: session-dependence and body posture. IEEE Trans Inf Forensics Secur. 2014;9(11):2002–13.View ArticleGoogle Scholar
- Wang Z, Zhang Y. Research on ECG biometric in cardiac irregularity conditions. In: Proceedings—2014 international conference on medical biometrics, ICMB 2014. 2014. p. 157–63.Google Scholar
- Sidek KA, Khalil I. Automobile driver recognition under different physiological conditions using the electrocardiogram. Comput Cardiol. 2011. p. 753–6.Google Scholar
- Sidek KA, Khalil I, Jelinek HF. ECG biometric with abnormal cardiac conditions in remote monitoring system. IEEE Trans Syst Man Cybern Syst. 2014;44(11):1498–509.View ArticleGoogle Scholar
- Tan WC, Yeap HM, Chee KJ, Ramli DA. Towards real time implementation of sparse representation classifier (SRC) based heartbeat biometric system. In: Lecture notes in electrical engineering, vol 307. 2014. p. 189–202.Google Scholar
- Lee S, Park SY, Kim SJ, Joeng JH, Kim SM. A study on a bio-signal biometric algorithm on the ubiquitous environments. In: Lecture notes in electrical engineering, vol 280. 2014. p. 691–7.Google Scholar