Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- List of illustrations
- 1 Introduction
- Part I Processing
- 2 Mathematical preliminaries: the z-and discrete Fourier transforms
- 3 Practical estimation of spectra
- 4 Processing of time sequences
- 5 Processing two-dimensional data
- Part II Inversion
- Part III Applications
- Appendix 1 Fourier series
- Appendix 2 The Fourier integral transform
- Appendix 3 Shannon's sampling theorem
- Appendix 4 Linear algebra
- Appendix 5 Vector spaces and the function space
- Appendix 6 Lagrange multipliers and penalty parameters
- Appendix 7 Files for the computer exercises
- References
- Index
2 - Mathematical preliminaries: the z-and discrete Fourier transforms
Published online by Cambridge University Press: 05 June 2012
- Frontmatter
- Contents
- Preface
- Acknowledgements
- List of illustrations
- 1 Introduction
- Part I Processing
- 2 Mathematical preliminaries: the z-and discrete Fourier transforms
- 3 Practical estimation of spectra
- 4 Processing of time sequences
- 5 Processing two-dimensional data
- Part II Inversion
- Part III Applications
- Appendix 1 Fourier series
- Appendix 2 The Fourier integral transform
- Appendix 3 Shannon's sampling theorem
- Appendix 4 Linear algebra
- Appendix 5 Vector spaces and the function space
- Appendix 6 Lagrange multipliers and penalty parameters
- Appendix 7 Files for the computer exercises
- References
- Index
Summary
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- Information
- Publisher: Cambridge University PressPrint publication year: 2004