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**Discrete-time signal processing.**
*(English)*
Zbl 0676.42001

Prentice Hall Signal Processing Series. Englewood Cliffs, NJ: Prentice Hall. xv, 879 p. £67.60 (1989).

This is a well-written book that will certainly become a standard text for undergraduate and beginning graduate courses on the fundamentals of signal processing. It has its origins in the widely used textbook Digital Signal Processing by the same authors, which was considerably revised and updated before reaching its present form.

The book contains twelve chapters which provide a coherent treatment of the theory of sampling, discrete-time linear systems, filtering, discrete-time Fourier analysis, discrete Hilbert transform, and cepstral analysis. The reduced space of this review allows only for an enumeration of the chapter titles: 1. Introduction; 2. Discrete-Time Signals and Systems;

3. Sampling of Continuous-Time Signals; 4. The z-Transform; 5. Transform Analysis of Linear Time-Invariant Systems; 6. Structures for Discrete- Time Systems; 7. Filter Design Techniques; 8. The Discrete Fourier Transform; 9. Computation of the Discrete Fourier Transform; 10. Discrete Hilbert Transforms; 11. Fourier Analysis of Signals Using the Discrete Fourier Transform; and 12. Cepstrum Analysis and Homomorphic Deconvolution. In addition to the above chapters, the book includes two appendices on Random Signals and Continuous-Time Filters and a rich set of more than 400 problems.

The fundamentals of discrete-time signal processing covered in this book should provide the reader with a deep understanding of the topic and with the knowledge necessary for contributing to future developments of this exciting field of science and technology.

The book contains twelve chapters which provide a coherent treatment of the theory of sampling, discrete-time linear systems, filtering, discrete-time Fourier analysis, discrete Hilbert transform, and cepstral analysis. The reduced space of this review allows only for an enumeration of the chapter titles: 1. Introduction; 2. Discrete-Time Signals and Systems;

3. Sampling of Continuous-Time Signals; 4. The z-Transform; 5. Transform Analysis of Linear Time-Invariant Systems; 6. Structures for Discrete- Time Systems; 7. Filter Design Techniques; 8. The Discrete Fourier Transform; 9. Computation of the Discrete Fourier Transform; 10. Discrete Hilbert Transforms; 11. Fourier Analysis of Signals Using the Discrete Fourier Transform; and 12. Cepstrum Analysis and Homomorphic Deconvolution. In addition to the above chapters, the book includes two appendices on Random Signals and Continuous-Time Filters and a rich set of more than 400 problems.

The fundamentals of discrete-time signal processing covered in this book should provide the reader with a deep understanding of the topic and with the knowledge necessary for contributing to future developments of this exciting field of science and technology.

Reviewer: P.Stoica

### MSC:

42-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to harmonic analysis on Euclidean spaces |

42A38 | Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type |

93-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to systems and control theory |

42A20 | Convergence and absolute convergence of Fourier and trigonometric series |

94-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to information and communication theory |

42A24 | Summability and absolute summability of Fourier and trigonometric series |