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Synopsis
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 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.
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About the Author
Weidong Chen received the Master?s degree in software engineering from the Department of Computer and Information Science and the Ph.D. degree in mathematics from Kansas State University. Now he is teaching mathematics in the Department of Computer Science, Mathematics and Physics at Missouri Western State University, Saint Joseph, Missouri.
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BAND-LIMITED EXTRAPOLATION BY REGULARIZATION
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LAP LAMBERT Academic Publishing Dez 2010, 2010
ISBN 10: 3843381607
ISBN 13: 9783843381604
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 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. 72 pp. Englisch. Seller Inventory # 9783843381604
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BAND-LIMITED EXTRAPOLATION BY REGULARIZATION
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ISBN 10: 3843381607
ISBN 13: 9783843381604
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BAND-LIMITED EXTRAPOLATION BY REGULARIZATION
Published by
LAP LAMBERT Academic Publishing Dez 2010, 2010
ISBN 10: 3843381607
ISBN 13: 9783843381604
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Taschenbuch. Condition: Neu. Neuware -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 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.Books on Demand GmbH, Überseering 33, 22297 Hamburg 72 pp. Englisch. Seller Inventory # 9783843381604
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BAND-LIMITED EXTRAPOLATION BY REGULARIZATION
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ISBN 10: 3843381607
ISBN 13: 9783843381604
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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 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. Seller Inventory # 9783843381604
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BAND-LIMITED EXTRAPOLATION BY REGULARIZATION
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