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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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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Taschenbuch. Zustand: Neu. Application of the Regularization Method | Weidong Chen | Taschenbuch | 84 S. | Englisch | 2016 | LAP LAMBERT Academic Publishing | EAN 9783659874031 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu. Artikel-Nr. 103169846
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