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Table 1 RMSEs of RR estimation under simulated signal

From: Real-time estimation of respiratory rate from a photoplethysmogram using an adaptive lattice notch filter

 

Constant frequency

Linear chirp

Sinusoidal FM

Burg’s method

ALRE

Burg’s method

ALRE

Burg’s method

ALRE

(df s , order)

( η, μ)

(df s , order)

( η, μ)

(df s , order)

( η, μ)

0dB

0.005350

0.002204

0.148526

0.023145

0.093723

0.013340

(1 Hz, 10)

(0.999, 0.989)

(2 Hz, 16)

(0.998, 0.983)

(1 Hz, 7)

(0.996, 0.996)

5dB

0.003908

0.001567

0.149505

0.008220

0.046544

0.008827

(1 Hz, 8)

(0.999, 0.987)

(2 Hz, 15)

(0.996, 0.983)

(1 Hz, 3)

(0.997, 0.981)

10dB

0.002030

0.001106

0.088621

0.006885

0.031328

0.006998

(1 Hz, 9)

(0.999, 0.983)

(3 Hz, 4)

(0.980, 0.996)

(2 Hz, 12)

(0.996, 0.98)

  1. According to simulation signal types and SNRs, RMSEs of each method are listed and the optimal parameter values are placed in each round bracket. (df s : down sampling frequency, order: AR model order, η: forgetting factor, μ: smoothing factor).