Convergence of an iterative time-variant filtering based ondiscrete Gabor transform

Authors:
Xiang-Gen Xia;Shie Qian
Affiliations:
Dept. of Electr. & Comput. Eng., Delaware Univ., Newark, DE;-
Venue:
IEEE Transactions on Signal Processing
Year:
1999

Citing 0
Cited 2

Detection-recognition algorithm based on the Gabor transform for unknown signals embedded in unknown noise

Mathematics and Computers in Simulation
Signal Adaptive Pipelined Hardware Design of Time-Varying Optimal Filter for Highly Nonstationary FM Signal Estimation

Journal of Signal Processing Systems

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Abstract

An iterative time-variant filtering based on the discrete Gabor transform (DGT) has been previously proposed by the authors. In this article, 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