A PRACTICAL STOPPING RULE FOR ITERATIVE SIGNAL RESTORATION

Citation
Km. Perry et Sj. Reeves, A PRACTICAL STOPPING RULE FOR ITERATIVE SIGNAL RESTORATION, IEEE transactions on signal processing, 42(7), 1994, pp. 1829-1833
Citations number
11
Categorie Soggetti
Acoustics
ISSN journal
1053587X
Volume
42
Issue
7
Year of publication
1994
Pages
1829 - 1833
Database
ISI
SICI code
1053-587X(1994)42:7<1829:APSRFI>2.0.ZU;2-P
Abstract
Iterative signal restoration is a common and simple approach for recov ering degraded signals. Unfortunately, iterative algorithms often conv erge slowly, and the convergence point is usually not the best restora tion because of noise amplification. Therefore, a stopping rule should be imposed to maximize the effectiveness of the iterative algorithm. We demonstrate the value of randomized generalized cross-validation (R GCV) as a stopping rule for linear iterative restoration algorithms wi th simple initial conditions and show that it can be used on relativel y small data sets with confidence. We also illustrate the performance of the RGCV criterion for various degrees of blurring and noise.