Application of the Regularization Method - Softcover

Chen, Weidong

 
9783659874031: Application of the Regularization Method
Softcover
ISBN 10: 3659874035 ISBN 13: 9783659874031
Publisher: LAP LAMBERT Academic Publishing, 2016

Synopsis

In this book, the concepts of ill-posed problems and regularization methods are introduced. The ill-posedness of the sampling problem, computation of the Fourier transform, restoring lost samples and the low pass filter is discussed. The regularization method is imported to solve these ill-posed problems. The regularized solutions are given by weight functions instead of the Tikhonov regularization by finding the minimum of a smoothing functional. Both the proof and numerical results are given.

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About the Author

Weidong Chen received the Master’s degree in software engineering in 2000 and Ph.D. degree in mathematics in 2007 at Kansas State University. He worked at University of Georgia as a postdoctoral associate from 2012 to 2015. His research interests are inverse and ill-posed problems, regularization methods and their applications in signal processing.

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Publisher
LAP LAMBERT Academic Publishing
Publication date
2016
Language
English
ISBN 10 
3659874035
ISBN 13 
9783659874031
Binding
Paperback
Number of pages
84