Wavelet-based Deconvolution for Ill-conditioned Systems

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Title: Wavelet-based Deconvolution for Ill-conditioned Systems
Author: Neelamani, Ramesh; Choi, Hyeokho; Baraniuk, Richard G.
Type: Conference paper
Keywords: wavelet-based deconvolution; Fourier-domain system; LTI Wiener filter; MSE performance; wavelet-domain regularization
Citation: R. Neelamani, H. Choi and R. G. Baraniuk, "Wavelet-based Deconvolution for Ill-conditioned Systems," vol. 6, pp. 3241-3244, 1999.
Abstract: In this paper, we propose a new approach to wavelet-based deconvolution. Roughly speaking, the algorithm comprises Fourier-domain system inversion followed by wavelet-domain noise suppression. Our approach subsumes a number of other wavelet-based deconvolution methods. In contrast to other wavelet-based approaches, however, we employ a regularized inverse filter, which allows the algorithm to operate even when the inverse system is ill-conditioned or non-invertible. Using a mean-square-error metric, we strike an optimal balance between Fourier-domain and wavelet-domain regularization. The result is a fast deconvolution algorithm ideally suited to signals and images with edges and other singularities. In simulations with real data, the algorithm outperforms the LTI Wiener filter and other wavelet-based deconvolution algorithms in terms of both visual quality and MSE performance.
Date Published: 1999-03-01

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  • ECE Publications [1048 items]
    Publications by Rice University Electrical and Computer Engineering faculty and graduate students
  • DSP Publications [508 items]
    Publications by Rice Faculty and graduate students in digital signal processing.