The ill-posedness of the sampling problem and regularized sampling algorithm

Authors:
Weidong Chen
Affiliations:
Dept. of Mathematics, Missouri Western State University, 4525 Downs Dr., St. Joseph, MO 64507, USA
Venue:
Digital Signal Processing
Year:
2011

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Abstract

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