A Foundation in Digital Communication (First Edition)

Title: A Foundation in Digital Communications

Author: Amos Lapidoth

Edition: First edition

ISBN 13: 9780521193955

Publisher: Cambridge University Press

Publish Date: July 2009

Binding: Hardcover, 750 pages

Weight: 1.6 kg

Exercises: 330

Figures: 75

BibTeX →Second Edition

Amos Lapidoth

About the Book

This intuitive but rigorous introduction derives the core results and engineering schemes of digital communication from first principles. Theory, rather than industry standards, motivates the engineering approaches, and key results are stated with all the required assumptions.

The book emphasizes the geometric view, opening with the inner product, the matched filter for its computation, Parseval's theorem, the sampling theorem as an orthonormal expansion, the isometry between passband signals and their baseband representation, and the spectral-efficiency optimality of quadrature amplitude modulation (QAM). Subsequent chapters address noise, with a comprehensive study of hypothesis testing, Gaussian stochastic processes, the sufficiency of the matched filter outputs, and some coding theory.

New is a treatment of white noise without generalized functions and a presentation of the power spectral density without artificial random jitters and random phases in the analysis of QAM.

This systematic and insightful book—with over 300 exercises—is ideal for graduate courses in digital communication, and for anyone asking "why" and not just "how."


1. Some essential notation
2. Signals, integrals, and sets of measure zero
3. The inner product
4. The space L2 of energy-limited signals
5. Convolutions and filters
6. The frequency response of filters and bandlimited signals
7. Passband signals and their representation
8. Complete orthonormal systems and the sampling theorem
9. Sampling real passband signals
10. Mapping bits to waveforms
11. Nyquist's criterion
12. Stochastic processes: definition
13. Stationary discrete-time stochastic processes
14. Energy and power in PAM
15. Operational power spectral density
16. Quadrature amplitude modulation
17. Complex random variables and processes
18. Energy, power, and PSD in QAM
19. The univariate Gaussian distribution
20. Binary hypothesis testing
21. Multi-hypothesis testing
22. Sufficient statistics
23. The multivariate Gaussian distribution
24. Complex Gaussians and circular symmetry
25. Continuous-time stochastic processes
26. Detection in white Gaussian noise
27. Noncoherent detection and nuisance parameters
28. Detecting PAM and QAM signals in white Gaussian noise
29. Linear binary block codes with antipodal signaling
Appendix: On the Fourier series
Theorems referenced by name
List of symbols

Last modified: Tue Jul 18 06:44:21 UTC 2023