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A fast algorithm for calculating the dual Gabor window with integer oversampling

Nagesh K. Subbanna, Yonina C. Eldar

Open publisher page 2 citations

Abstract

In this paper, we consider Gabor expansion of signals that are oversampled in the time-frequency domain by an integer factor. We demonstrate that using a combination of non minimum norm dual windows and discrete Fourier transforms (DFT), we can obtain the Gabor expansion very efficiently. The conventional method used to solve this problem is compared with our method and the advantages of our method are explicitly shown. 1.

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What this paper is about

In this paper, we consider Gabor expansion of signals that are oversampled in the time-frequency domain by an integer factor. We demonstrate that using a combination of non minimum norm dual windows and discrete Fourier transforms (DFT), we can obtain the Gabor expansion very efficiently. The conventional method used to solve this problem is compared with our method and the advantages of our method are explicitly shown. 1.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, we consider Gabor expansion of signals that are oversampled in the time-frequency domain by an integer factor. We demonstrate that using a combination of non minimum norm dual windows and discrete Fourier transforms (DFT), we can obtain the Gabor expansion very efficiently. The conventional method used to solve this problem is compared with our method and the advantages of our method are explicitly shown. 1.

Key concepts: Oversampling, Integer (computer science), Window (computing), Computer science, Algorithm, Dual (grammatical number), Telecommunications, Bandwidth (computing)

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