Title :
A general solution of biorthogonal analysis window functions for orthogonal-like discrete Gabor transform
Author :
Qian, Shie ; Chen, Dapang
Author_Institution :
Nat. Instrums., Austin, TX, USA
Abstract :
An algorithm for computing the analysis window function γ( i) for the discrete Gabor transform (DGT) corresponding to an arbitrary synthesis window function h(i) and sampling pattern is presented. Numerical simulations indicate that the algorithm successfully addresses problems that could not be solved previously due to rank deficiency or numerical instability
Keywords :
functions; transforms; algorithm; biorthogonal analysis window functions; discrete Gabor transform; numerical instability; numerical simulations; sampling pattern; synthesis window function; Algorithm design and analysis; Bridges; Digital signal processing; Discrete Fourier transforms; Discrete transforms; Fourier transforms; Instruments; Matrix decomposition; Pattern analysis; Sampling methods;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1992., Proceedings of the IEEE-SP International Symposium
Conference_Location :
Victoria, BC
Print_ISBN :
0-7803-0805-0
DOI :
10.1109/TFTSA.1992.274136
