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Author Mallat, S. ♦ Zhang, Z.
Source IEEE Xplore Digital Library
Content type Text
Publisher Institute of Electrical and Electronics Engineers, Inc. (IEEE)
File Format PDF
Copyright Year ©1992
Language English
Subject Domain (in DDC) Technology ♦ Engineering & allied operations ♦ Applied physics
Subject Keyword Time frequency analysis ♦ Matching pursuit algorithms ♦ Dictionaries ♦ Fourier transforms ♦ Vectors ♦ Signal processing algorithms ♦ Pursuit algorithms ♦ Interference ♦ Signal processing ♦ Wavelet transforms
Abstract An adaptive time-frequency decomposition is introduced. It represents signals as a linear expansion of local time-frequency waveforms, selected in order to match the signal structures. The decomposition is performed with an algorithm, called matching pursuit, whose convergence is guaranteed. A new definition of signal energy density in the time-frequency plane is derived by summing the Wigner distribution of each local time-frequency waveform. This energy density does not have any interference terms, unlike Wigner and Cohen class distributions. Numerical examples are described.
Description Author affiliation: Courant Inst., New York Univ., NY, USA (Mallat, S.; Zhang, Z.)
ISBN 0780308050
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research ♦ Reading
Education Level UG and PG
Learning Resource Type Article
Publisher Date 1992-10-04
Rights Holder Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Size (in Bytes) 371.13 kB
Page Count 4
Starting Page 7
Ending Page 10


Source: IEEE Xplore Digital Library