Paper Title:
Gaussian Window of Optimal Time-Frequency Resolution in Numerical Implementation of Short-Time Fourier Transform
  Abstract

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, 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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