Best basis algorithm for orthonormal shift-invariant trigonometric decomposition

Author

Cohen, Israel ; Raz, Shalom ; Malah, David ; Schnitzer, Itzhak

Author_Institution

Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel

fYear

1996

Firstpage

401

Lastpage

404

Abstract

Adaptive signal representations in overcomplete libraries of waveforms have been widely used. The local cosine decomposition of Coifman and Wickerhauser (see IEEE Trans. Inf. Th., vol.38, no.3, p.713-18, 1992) is modified by incorporating two degrees of freedom that increase the adaptability of the best basis. These are relative shifts between resolution levels and adaptive polarity foldings. The resultant expansion is shift-invariant, and yields adaptive time-frequency distributions which are characterized by high resolution, high concentration and suppressed cross-terms associated with the Wigner distribution

Keywords

Wigner distribution; adaptive signal processing; signal representation; signal resolution; time-frequency analysis; Wigner distribution; adaptive polarity foldings; adaptive signal representations; adaptive time-frequency distributions; best basis algorithm; degrees of freedom; high concentration; high resolution; local cosine decomposition; orthonormal shift-invariant trigonometric decomposition; overcomplete libraries; relative shifts; resolution levels; shift-invariant expansion; suppressed cross-terms; waveforms; Basis algorithms; Binary trees; Cost function; Libraries; Physics; Signal reconstruction; Signal resolution; Time frequency analysis; Wavelet packets; Wavelet transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Digital Signal Processing Workshop Proceedings, 1996., IEEE

Conference_Location

Loen

Print_ISBN

0-7803-3629-1

Type

conf

DOI

10.1109/DSPWS.1996.555546

Filename

555546