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Band-Limited Extrapolation By Regularization

In this paper a regularized spectral estimation formula and a regularized iterative algorithm for band-limited extrapolation are presented. The ill-posedness of the problem is taken into account. First a Fredholm equation is regularized. Then it is transformed to a differential equation in the case where the time interval is {bf R}. A fast algorithm to solve the differential equation by the finite...

Paperback: 72 pages
Publisher: LAP LAMBERT Academic Publishing (December 30, 2010)
Language: English
ISBN-10: 9783843381604
ISBN-13: 978-3843381604
ASIN: 3843381607
Product Dimensions: 5.9 x 0.2 x 8.7 inches
Amazon Rank: 9570077
Format: PDF Text TXT book

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differences is given and a regularized spectral estimation formula is obtained. Then a regularized iterative extrapolation algorithm is introduced and compared with the Papoulis and Gerchberg algorithm. A time-frequency regularized extrapolation algorithm is presented in the two-dimensional case. The Gibbs phenomenon is analyzed. Then the time-frequency regularized extrapolation algorithm is applied to image restoration and compared with other algorithms.