BAND-LIMITED EXTRAPOLATION BY REGULARIZATION

Weidong Chen

ISBN 10: 3843381607 / ISBN 13: 9783843381604

Published by LAP LAMBERT Academic Publishing Dez 2010, 2010

About this Item

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

Bibliographic Details

• Title: BAND-LIMITED EXTRAPOLATION BY REGULARIZATION
• Publisher: LAP LAMBERT Academic Publishing Dez 2010
• Publication Date: 2010
• Language: English
• ISBN 10: 3843381607
• ISBN 13: 9783843381604
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 5D millimeters 220 millimeters width by 150 millimeters height by 5 millimeters depth
• Weight: 125 grams

About this title

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.

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.