A generalized Landweber iteration for ill-conditioned signal restoration

Authors:
B. J. Sullivan;H.-C. Chang
Affiliations:
Dept. of Electr. Eng. & Comput. Sci., Northwestern Univ., Evanston, IL, USA;Dept. of Electr. Eng. & Comput. Sci., Northwestern Univ., Evanston, IL, USA
Venue:
ICASSP '91 Proceedings of the Acoustics, Speech, and Signal Processing, 1991. ICASSP-91., 1991 International Conference
Year:
1991

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Abstract

The authors examine a generalized version of Landweber's iteration using spectral filter analysis, which leads them to propose a modification of the iteration to improve its performance in solving ill-conditioned linear systems. The regularization concept is incorporated into the generalized version of Landweber's iteration. Two functions for determining critical parameter values are examined: a generalized cross-validation function and an estimate of the mean-square error between the true and computed solutions. The performance of the proposed method is demonstrated by presenting a signal restoration example.