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Fast parallel algorithms for discrete gabor expansion and transform based on multirate filtering

Science China(Information Sciences) 2012年第2期55卷 293-300页

作者： TAO Liang1 & GU JuanJuan2 1School of Computer Science and Technology,Anhui University,Hefei 230039,China 2Department of Electronic Information and Electrical Engineering,Hefei University,Hefei 230022,China School of Computer Science and Technology Anhui University Hefei China Department of Electronic Information and Electrical Engineering Hefei University Hefei China

The gabor transform has long been recognized as a very useful tool for the joint time and frequency analysis in signal *** real time applications,however,were limited due to the high computational complexity of the gabor transform *** this paper,some novel and fast parallel algorithms for the finite discrete gabor expansion and transform are presented based on multirate *** analysis filter bank is designed for the finite discrete gabor transform(DGT)and a synthesis filter bank is designed for the finite discrete gabor expansion(DGE).Each of the parallel channels in the two filter banks has a unified structure and can apply the FFT and the IFFT to reduce its computational *** computational complexity of each parallel channel does not change as the oversampling rate *** fact,it is very low and depends only on the length of the input discrete signal and the number of the gabor frequency sampling *** computational complexity of the proposed parallel algorithms is analyzed and compared with that of the major existing parallel algorithms for the finite DGT and *** results indicate that the proposed parallel algorithms for the finite DGT and DGE based on multirate filtering are very attractive for real time signal processing.

关键词： discrete gabor expansion discrete gabor transform critical sampling and oversampling multirate filtering analysis and synthesis filter banks

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