Mathematical model of the photoplethysmogram for testing methods of biological signals analysis

The purpose of this study was to develop a mathematical model the photoplethysmogram, which can be used test methods that introduce instantaneous phases modulating signals. must reproduce statistical and spectral characteristics real explicitly incorporate signals, so they as reference during testing. Methods. Anacrotic catacrotic photoplethysmogram pulse wave were modeled sum two density distributions for skew normal distribution. signals introduced harmonic functions taken from experimental VLF (0.015...0.04 Hz), LF (0.04...0.15 Hz) HF (0.15...0.4 oscillations in photoplethysmogram. power VLF, LF, frequency ranges calculated compare data. Results. qualitatively reproduces shape shows less than 1% error when simulating properties signal. Conclusion. proposed introduction time-series.