Discrete-time Signal Processing

Discrete-time Signal Processing provides a comprehensive exploration of the theory and applications behind discrete-time signals and systems. The book begins with the fundamentals, introducing discrete-time sequences and the characteristics of linear time-invariant systems, before delving into the critical aspects of constant-coefficient difference equations and Fourier transform representations. The text then guides the reader through the intricacies of the z-transform, including discussions on the region of convergence and inverse z-transform, equipping readers with robust tools for signal analysis. Detailed sections on sampling continuous-time signals and reconstructing bandlimited signals highlight both theoretical and practical considerations essential to modern signal processing. Later chapters focus on the frequency response of linear systems and the analysis of system functions, covering topics such as magnitude-phase relationships, all-pass and minimum-phase systems, and generalized linear phase properties. The book further examines discrete-time system structures with an emphasis on block diagram and signal flow graph representations, while addressing the challenges posed by numerical effects in digital filter implementation. Concluding with advanced topics, the work delves into filter design techniques, exploring both IIR and FIR approaches, and provides a thorough discussion of the discrete Fourier transform and its computational aspects. This edition, published in 1999 as a paperback, spans 904 pages and serves as an invaluable resource for both students and professionals seeking a deep understanding of discrete-time signal processing.