Application of the Regularization Method

Zusatztext

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.

Autorenportrait

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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