Fast communication: The ill-posedness of restoring lost samples and regularized restoration for band-limited signals

Authors:
Weidong Chen
Affiliations:
Mathematics Department, Missouri Western State University, 4525 Downs Drive, Saint Joseph, MO 64507, United States
Venue:
Signal Processing
Year:
2011

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Abstract

In this paper the ill-posedness of restoring lost samples is discussed. The restoration algorithm by Shannon's Sampling Theorem is analyzed. A regularized restoring algorithm for band-limited signals is presented. The convergence of the regularized restoring algorithm is studied and compared with the restoration algorithm by Shannon's sampling theorem.