Sampling Theory: Beyond Bandlimited Systems

ISBN-13: 9781107003392 / Angielski / Twarda / 2015 / 836 str.

Yonina Eldar

Opis

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.

Recenzje

'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

Spis treści

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.