Gaussian Window of Optimal Time-Frequency Resolution in Numerical Implementation of Short-Time Fourier Transform

Abstract:

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In this paper, we report the condition to keep the optimal time-frequency resolution of the Gaussian window in the numerical implementation of the short-time Fourier transform. Because of truncation and discretization, the time-frequency resolution of the discrete Gaussian window is different from that of the proper Gaussian function. We compared the time-frequency resolution performance of the discrete Gaussian window and Hanning window based on that they have the same continuous-time domain standard deviation, and generalized the condition under which the time-frequency resolution of the Gaussian window will prevail over that of the Hanning window.

Info:

Periodical:

Edited by:

Zhixiang Hou

Pages:

555-560

DOI:

10.4028/www.scientific.net/AMM.48-49.555

Citation:

Y. Jin and Z. Y. Hao, "Gaussian Window of Optimal Time-Frequency Resolution in Numerical Implementation of Short-Time Fourier Transform", Applied Mechanics and Materials, Vols. 48-49, pp. 555-560, 2011

Online since:

February 2011

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Price:

$35.00

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