An iterative algorithm for time-variant filtering in the discrete Gabor transform domain
نویسندگان
چکیده
In this paper, an iterative time-frequency (TF) synthesis/time-varying ltering algorithm in the discrete Gabor transform domain is proposed. A su cient 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 speci ed by the user in the TF plane. Under the condition the solution from the rst 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 13dB SNR increase over the SNR without ltering; lower computational complexity.
منابع مشابه
Convergence of an iterative time-variant filtering based on discrete Gabor transform
An iterative time-variant filtering based on the discrete Gabor transform (DGT) has been recently proposed by the authors. In this correspondence, we present a proof of the convergence of the iterative algorithm under a sufficient condition on the analysis and synthesis window functions of the DGT. In the meantime, we show that the iterative algorithm refines the least squares solution.
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