Analysis-synthesis of the phonocardiogram based on the matching pursuit method.
Abstract
The matching pursuit method of Mallat and Zhang is applied to the analysis and synthesis of phonocardiograms (PCG's). The method is based on a classical Gabor wavelet or time-frequency atom which is the product of a sinusoid and a Gaussian window function. It decomposes a signal into a series of time-frequency atoms by an iterative process based on selecting the largest inner product of the signal (and the subsequent residues) with atoms from a redundant dictionary. The Gaussian window controls the envelope duration and time position of each atom; and the sinusoid represents the frequency. The method was applied to two sets of PCG's: one with very low-noise level and the other with 10% noise energy. Each data base includes 11 PCG's representing the normal and the pathological conditions of the heart. The normalized root-mean-square error (NRMSE) was computed between the original and the reconstructed signals. The results show that the matching pursuit method is very suitable to the transient and complex properties of the PCG's, as it yielded excellent NRMSE's around 2.2% for the two sets of 11 PCG's tested.
Keywords
Acoustic Signal Processing
Bioacoustics
Cardiology
Medical Signal Processing
Wavelet Transforms
Gaussian Window Function
Gabor Wavelet
Heart Murmurs
Heart Sounds
Matching Pursuit Method
Phonocardiogram Analysis-Synthesis
Reconstructed Signal
Signal Decomposition
Time-Frequency Atom
Transient Complex Properties
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