Sampling theory : beyond bandlimited systems
著者
書誌事項
Sampling theory : beyond bandlimited systems
Cambridge University Press, c2015
- hbk.
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注記
Includes bibliographical references (p. 775-798) and index
内容説明・目次
内容説明
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.
目次
- 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.
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