Fundamentals of Digital Signal Processing

The main objective of this book is to provide background and fundamental material in discrete-time systems, basic digital processing techniques, design procedures for digital filters, and the discrete Fourier transform. It is hoped that the text will present a logical and precise development for analyzing and designing certain specific structures of digital systems, namely, those in the A/D-digital filter-D/A structure. In Chapter 1, definitions are presented for special types of discrete-time signals and systems with special emphasis on frequency response characteristics and the aliasing property. Further background material including fundamentals of the z transform and relationships among linear constant coefficient difference equations, system functions, and impulse response, are presented in Chapter 2. Chapters 3 and 4 provide design procedures for both classical analog filters and digital filters, while Chapter 5 gives some insight into the hardware realization of such digital filters. The discrete Fourier transform and its inverse are presented along with algorithms for fast calculation in Chapter 6.
Special attention is given to interpreting the results obtained by using the discrete Fourier transform on sampled continuous-time signals.