Sampling Theory
Beyond Bandlimited Systems

A comprehensive guide to sampling for engineers, covering the fundamental mathematical underpinnings together with practical engineering principles and applications.

Yonina C. Eldar (Author)

9781107003392, Cambridge University Press

Hardback, published 9 April 2015

836 pages, 315 b/w illus. 19 tables 198 exercises
25.3 x 18 x 4 cm, 1.77 kg

'The observation that a bandlimited signal is completely specified by uniform sampling at Nyquist rate might well go back to Cauchy, and the idea of approaching signal recovery as parameter estimation certainly goes back to the 1950s. These ideas provided the theoretical foundation for digitization of telephone networks and in turn the challenge of digital communication inspired new developments in signal analysis. Today new applications from A/D conversion to medical imaging are inspiring a new sampling theory and this book takes us to terra incognita beyond bandlimited systems.' Robert Calderbank, Duke University

Covering the fundamental mathematical underpinnings together with key principles and applications, this book provides a comprehensive guide to the theory and practice of sampling from an engineering perspective. Beginning with traditional ideas such as uniform sampling in shift-invariant spaces and working through to the more recent fields of compressed sensing and sub-Nyquist sampling, the key concepts are addressed in a unified and coherent way. Emphasis is given to applications in signal processing and communications, as well as hardware considerations, throughout. With 200 worked examples and over 200 end-of-chapter problems, this is an ideal course textbook for senior undergraduate and graduate students. It is also an invaluable reference or self-study guide for engineers and students across industry and academia.

1. Introduction
2. Introduction to linear algebra
3. Fourier analysis
4. Signal spaces
5. Shift-invariant spaces
6. Subspace priors
7. Smoothness priors
8. Nonlinear sampling
9. Resampling
10. Unions of subspaces
11. Compressed sensing
12. Sampling over finite unions
13. Sampling over shift-invariant unions
14. Multiband sampling
15. Finite rate of innovation sampling
Appendix A. Finite linear algebra
Appendix B. Stochastic signals.

Subject Areas: Signal processing [UYS], Computer science [UY], Communications engineering / telecommunications [TJK], Electronics & communications engineering [TJ]