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.
Publié le : 1998-08-05
Classification:
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,
MESH: Heart Murmurs,
MESH: Heart Sounds,
MESH: Humans,
MESH: Observer Variation,
MESH: Phonocardiography,
MESH: Reference Values,
MESH: Reproducibility of Results,
MESH: Signal Processing, Computer-Assisted,
[SDV.IB]Life Sciences [q-bio]/Bioengineering,
[SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing,
[MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT],
[INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing
@article{inserm-00460389,
author = {Zhang, Xuan and Durand, Louis-Gilles and Senhadji, Lotfi and Lee, Howard, and Coatrieux, Jean-Louis},
title = {Analysis-synthesis of the phonocardiogram based on the matching pursuit method.},
journal = {HAL},
volume = {1998},
number = {0},
year = {1998},
language = {en},
url = {http://dml.mathdoc.fr/item/inserm-00460389}
}
Zhang, Xuan; Durand, Louis-Gilles; Senhadji, Lotfi; Lee, Howard, ; Coatrieux, Jean-Louis. Analysis-synthesis of the phonocardiogram based on the matching pursuit method.. HAL, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/inserm-00460389/