Affiliation:
1. Wolfram Research, 100 Trade Center Drive, Champaign, IL 61820-7237, USA
Abstract
A dual Gabor window pair has two functions that can reconstruct any function in [Formula: see text] using certain systems of their modulated and translated forms. Few explicit examples of dual Gabor window pairs are known. This paper constructs explicit examples with trigonometric form in one dimension as well as higher dimensions. Also, in the discrete time domain, the trigonometric form allows us to evaluate the Gabor coefficients efficiently using the Discrete Fourier Transform. The windows have fixed support and arbitrary smoothness.
Publisher
World Scientific Pub Co Pte Lt
Cited by
7 articles.
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