In order to make effective use of this work, readers will need somebackground in complex variable functions and an understanding of thebasics of continuous-time signals and systems theory. The introductorychapter describes the fundamentals of time-domain and frequency-domaincharacterization of deterministic and random discrete-time signals andof linear time-invariant (LTI) discrete-time systems. The other fourchapters go into depth about basic mathematical concepts in the field,including the z-transform, the discrete Fourier transform (DFT) and itsefficient computation by fast Fourier transform algorithms, and thediscrete Hilbert transform and its applications to bandpass signalrepresentation.

The authors present applications of the sampling theorem to therepresentation of a continuous-time signal by its samples, and tomultirate signal processing. They also discuss the use of the DFT forspectral analysis of sinusoidal, nonstationary, and stationary randomsignals.

The book also develops methods for the analysis and design ofdiscrete-time systems, including system function and frequency responseof LTI discrete-time systems, basic implementation structures forinfinite impulse response (IIR) and finite impulse response (FIR)systems, finite-precision effects on digital implementation of thesestructures, and digital filter design.

One of the three appendices contains the characterization ofcontinuous-time filters, which is necessary for the design of IIRfilters by impulse-response invariance and bilinear transform methods.Another appendix summarizes the representation of stochasticdiscrete-time signals. This edition introduces a discussion of thecosine transform; expands the treatment of sampling, multirate signalprocessing, and spectral analysis; and increases the number of examplesand exercises.

The text contains more than 100 easy-to-follow examples, and eachchapter includes many basic and advanced problems. An appendix givesanswers to selected basic problems, and an instructor’s manualcontaining solutions to all the problems in the book isavailable from the publisher.

The comprehensive coverage of fundamentals, methods, and algorithmsfor discrete-time signal processing makes this work both aself-contained reference manual in the field and a flexible support forboth undergraduate and graduate courses.