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.

• Periodical: Applied Mechanics and Materials (Volumes 48-49)
• Pages: 555-560
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.48-49.555
• Online since: February 2011
• Authors: Yang Jin, Zhi Yong Hao
• Keywords: Continuous-Time Standard Deviation, Gaussian Window, Short Time Fourier Transform (STFT), Time-Frequency Resolution

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