2015•Journal of Xinjiang Normal UniversityRequires access

Gabor Spectrogram Based Onminimal Time-bandwidth Product and its Application

Tian Li

Abstract

Short time Fourier transform( STFT) spectrogram methods are widely used in various fields of signal processing,yet STFT spectrogram has poor resolutions. Gabor spectrogram can be interpreted as special case of STFT spectrogram. In this paper,minimal time-bandwidth product( TBP) criterion is introduced into the window function of Gabor spectrogram; the Gabor spectrogram based on time-bandwidth product is achieved. The optimal Gabor spectrogram utilizes the Heisenberg uncertainty principle and time and frequency acquire good resolutions in time-frequency domain. This method is applied to test signal and the real signal,the results show Gabor spectrogram based minimal TBP has good performances.

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Key concepts: Spectrogram, Short-time Fourier transform, Time–frequency analysis, Fourier transform, Gabor transform, Bandwidth (computing), Computer science, Speech recognition