Application of the Regularization Method

ISBN-13: 9783659874031 / Angielski / Miękka / 2016 / 84 str.

Weidong Chen

Opis

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.

O autorze

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.