2003•Unpublished venueRequires access

A general solution of biorthogonal analysis window functions for orthogonal-like discrete Gabor transform

S. Qian, Dan Chen

Open publisher page 8 citations

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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What this paper is about

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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Available 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.>

Key concepts: Biorthogonal system, Window function, Gabor transform, Window (computing), Function (biology), Algorithm, Rank (graph theory), Sampling (signal processing)

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