Application of the Regularization Method

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.

Autorentext

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.