Wavelets in biomedical engineering

Wavelets analysis methods have been widely used in the signal processing of biomedical signals. These methods represent the temporal characteristics of a signal by its spectral components in the frequency domain. In this way, important features of the signal can be extracted in order to understand or model the physiological system. This paper reviews the widely used orthogonal wavelet transform method in the biomedical applications.

[1]  I. J. Schoenberg,et al.  Cardinal interpolation and spline functions , 1969 .

[2]  Ingrid Daubechies,et al.  Time-frequency localization operators: A geometric phase space approach , 1988, IEEE Trans. Inf. Theory.

[3]  O. Rioul,et al.  Wavelets and signal processing , 1991, IEEE Signal Processing Magazine.

[4]  Shubha Kadambe,et al.  Application of the wavelet transform for pitch detection of speech signals , 1992, IEEE Trans. Inf. Theory.

[5]  I. Daubechies.  Orthonormal bases of compactly supported wavelets , 1988 .

[6]  Metin Akay,et al.  Time-frequency analysis of the electrocortical activity during maturation using wavelet transform , 1994, Biological Cybernetics.

[7]  Stéphane Mallat,et al.  Matching pursuits with time-frequency dictionaries , 1993, IEEE Trans. Signal Process..

[8]  Ronald R. Coifman,et al.  Signal processing and compression with wavelet packets , 1994 .

[9]  G. Battle.  A block spin construction of ondelettes. Part I: Lemarié functions , 1987 .

[10]  Arnon D. Cohen,et al.  Biomedical Signal Processing , 1986 .

[11]  R. Tibshirani,et al.  An introduction to the bootstrap , 1993 .

[12]  Metin Akay,et al.  Biomedical Signal Processing , 2020, Series in BioEngineering.

[13]  Ronald R. Coifman,et al.  Entropy-based algorithms for best basis selection , 1992, IEEE Trans. Inf. Theory.

[14]  O. Bertrand,et al.  Time-frequency digital filtering based on an invertible wavelet transform: an application to evoked potentials , 1994, IEEE Transactions on Biomedical Engineering.

[15]  Dennis M. Healy,et al.  Two applications of wavelet transforms in magnetic resonance imaging , 1992, IEEE Trans. Inf. Theory.

[16]  Richard Kronland-Martinet,et al.  Analysis of Sound Patterns through Wavelet transforms , 1987, Int. J. Pattern Recognit. Artif. Intell..

[17]  G. Weiss,et al.  Extensions of Hardy spaces and their use in analysis , 1977 .

[18]  Deepen Sinha,et al.  On the optimal choice of a wavelet for signal representation , 1992, IEEE Trans. Inf. Theory.

[19]  Françoise Peyrin,et al.  Wavelet analysis of high-resolution signal-averaged ECGs in postinfarction patients. , 1993, Journal of electrocardiology.

[20]  Martin Vetterli,et al.  Wavelets and filter banks: relationships and new results , 1990, International Conference on Acoustics, Speech, and Signal Processing.

[21]  Kuansan Wang,et al.  Auditory representations of acoustic signals , 1992, IEEE Trans. Inf. Theory.

[22]  Stéphane Mallat,et al.  A Theory for Multiresolution Signal Decomposition: The Wavelet Representation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[23]  Stéphane Mallat,et al.  Characterization of Signals from Multiscale Edges , 2011, IEEE Trans. Pattern Anal. Mach. Intell..

[24]  Charles K. Chui,et al.  An Introduction to Wavelets , 1992 .

[25]  Michael Unser,et al.  On the asymptotic convergence of B-spline wavelets to Gabor functions , 1992, IEEE Trans. Inf. Theory.

[26]  M. Victor Wickerhauser,et al.  Wavelets: Algorithms and Applications (Yves Meyer) , 1994, SIAM Rev..

[27]  I. Daubechies.  Ten Lectures on Wavelets , 1992 .

[28]  Martin Vetterli,et al.  Wavelets and filter banks: theory and design , 1992, IEEE Trans. Signal Process..

[29]  Olivier Rioul,et al.  Fast algorithms for discrete and continuous wavelet transforms , 1992, IEEE Trans. Inf. Theory.

[30]  P. Caminal,et al.  Detection of late potentials by means of wavelet transform , 1989, Images of the Twenty-First Century. Proceedings of the Annual International Engineering in Medicine and Biology Society,.

[31]  A. Grossmann,et al.  DECOMPOSITION OF HARDY FUNCTIONS INTO SQUARE INTEGRABLE WAVELETS OF CONSTANT SHAPE , 1984 .

[32]  A. Haar.  Zur Theorie der orthogonalen Funktionensysteme , 1910 .

[33]  Mark J. Shensa,et al.  The discrete wavelet transform: wedding the a trous and Mallat algorithms , 1992, IEEE Trans. Signal Process..

[34]  J. Skilling,et al.  Algorithms and Applications , 1985 .

[35]  N. Thakor,et al.  Multiresolution wavelet analysis of evoked potentials , 1993, IEEE Transactions on Biomedical Engineering.