Title :
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
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;
Conference_Titel :
Digital Signal Processing Workshop Proceedings, 1996., IEEE
Conference_Location :
Loen
Print_ISBN :
0-7803-3629-1
DOI :
10.1109/DSPWS.1996.555546
