Title :
An iterative algorithm for time-variant filtering in the discrete Gabor transform domain
Author :
Xia, Xiang-Gen ; Qian, Shie
Author_Institution :
Dept. of Electr. Eng., Delaware Univ., Newark, DE, USA
Abstract :
In this paper, an iterative time-frequency (TF) synthesis/time-varying filtering algorithm in the discrete Gabor transform domain is proposed. A sufficient condition is obtained for the Gabor synthesis and analysis window functions so that the iterative algorithm converges. It is proved that, under the condition, the algorithm converges to a signal that has its Gabor transform located exactly in a desired domain specified by the user in the TF plane. Under the condition the solution from the first iteration is exactly the least square solution. Our numerical examples show: about 3.5 dB or more SNR gain over the least square solution; about 13 dB SNR increase over the SNR without filtering; lower computational complexity
Keywords :
computational complexity; convergence of numerical methods; filtering theory; iterative methods; least squares approximations; signal processing; time-frequency analysis; time-varying filters; transforms; Gabor analysis window functions; Gabor synthesis window functions; SNR gain; convergence; discrete Gabor transform domain; iterative algorithm; least square solution; lower computational complexity; numerical examples; signal processing; time-frequency synthesis; time-variant filtering; time-varying filtering; Algorithm design and analysis; Computational complexity; Discrete transforms; Filtering algorithms; Gabor filters; Iterative algorithms; Least squares methods; Signal synthesis; Sufficient conditions; Time frequency analysis;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1997. ICASSP-97., 1997 IEEE International Conference on
Conference_Location :
Munich
Print_ISBN :
0-8186-7919-0
DOI :
10.1109/ICASSP.1997.599457
