A general solution of biorthogonal analysis window functions for orthogonal-like discrete Gabor transform
S. Qian, Dan Chen
Abstract
S. Qian, Dan Chen
Abstract
An algorithm for computing the analysis window function gamma (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.>
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An algorithm for computing the analysis window function gamma (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.>
Key concepts: Biorthogonal system, Window function, Gabor transform, Window (computing), Function (biology), Algorithm, Rank (graph theory), Sampling (signal processing)