Wybrane metody cyfrowego przetwarzania sygnałów z przykładami programów w Matlabie

Abstract

The aim of the present monograph is to discuss the theory of digital signal processing and examples of algorithms describing both the theory and practical implementations. The proposed algorithms were implemented in a form of programs written in the Matlab language. The book consists of two parts. Part One presents the theory of spectral analysis of signals used herein, which is next illustrated by examples of spectral analysis and spectral synthesis algorithms. Part Two of the monograph is devoted to the presentation of algorithms utilized in the process of implementing the discussed theory. First, theoretical bases for processing discrete signals are outlined. Then, the readers are provided with de nitions and the mathematical derivations which facilitate the understanding of all the functional algorithms described in the monograph. Part Two contains an overview of various implementations of the previously discussed theory in the areas of image processing and spectral analysis of Boolean functions, by proving the respective theorems. The theorems should facilitate the formulation of corresponding algorithms for image and Boolean functions analysis.