Sampling theory : beyond bandlimited systems

Description

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 Content: 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.