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Signal processing : a mathematical approach / Charles L. Byrne, University of Massachusetts Lowell, Lowell, Massachusetts, USA.

By: Material type: TextTextSeries: Monographs and research notes in mathematicsPublisher: Boca Raton : CRC Press, Taylor and Francis Group, [2015]Copyright date: ©20Copyright date: ©2015Edition: Second editionDescription: 1 online resource (xxv, 413 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781482241853
  • 1482241854
  • 1482241846
  • 9781482241846
Subject(s): Genre/Form: Additional physical formats: Print version:: Signal processing.DDC classification:
  • 621.38220151
LOC classification:
  • TK5102.9 .B96 2015
Online resources:
Contents:
1. Introduction -- 2. Fourier series and Fourier transforms -- 3. Remote sensing -- 4. Finite-parameter models -- 5. Transmission and remote sensing -- 6. The Fourier transform and convolution filtering -- 7. Infinite sequences and discrete filters -- 8. Convolution and the vector DFT -- 9. Plane-wave propagation -- 10. The phase problem -- 11. Transmission tomography -- 12. Random sequences -- 13. Nonlinear methods -- 14. Discrete entropy maximization -- 15. Analysis and synthesis -- 16. Wavelets -- 17. The BLUE and the Kalman filter -- 18. Signal detection and estimation -- 19. Inner products -- 20. Wiener filtering -- 21. Matrix theory -- 22. Compressed sensing -- 23. Probability -- 24. Using the wave equation -- 25. Reconstruction in Hilbert space -- 26. Some theory of Fourier analysis -- 27. Reverberation and echo cancellation.
Summary: Signal Processing: A Mathematical Approach is designed to show how many of the mathematical tools the reader knows can be used to understand and employ signal processing techniques in an applied environment. Assuming an advanced undergraduate- or graduate-level understanding of mathematics-including familiarity with Fourier series, matrices, probability, and statistics-this Second Edition: Contains new chapters on convolution and the vector DFT, plane-wave propagation, and the BLUE and Kalman filtersExpands the material on Fourier analysis to three new chapters to provide additional background.
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"A Chapman & Hall book."

Includes bibliographical references and index.

1. Introduction -- 2. Fourier series and Fourier transforms -- 3. Remote sensing -- 4. Finite-parameter models -- 5. Transmission and remote sensing -- 6. The Fourier transform and convolution filtering -- 7. Infinite sequences and discrete filters -- 8. Convolution and the vector DFT -- 9. Plane-wave propagation -- 10. The phase problem -- 11. Transmission tomography -- 12. Random sequences -- 13. Nonlinear methods -- 14. Discrete entropy maximization -- 15. Analysis and synthesis -- 16. Wavelets -- 17. The BLUE and the Kalman filter -- 18. Signal detection and estimation -- 19. Inner products -- 20. Wiener filtering -- 21. Matrix theory -- 22. Compressed sensing -- 23. Probability -- 24. Using the wave equation -- 25. Reconstruction in Hilbert space -- 26. Some theory of Fourier analysis -- 27. Reverberation and echo cancellation.

Print version record.

Signal Processing: A Mathematical Approach is designed to show how many of the mathematical tools the reader knows can be used to understand and employ signal processing techniques in an applied environment. Assuming an advanced undergraduate- or graduate-level understanding of mathematics-including familiarity with Fourier series, matrices, probability, and statistics-this Second Edition: Contains new chapters on convolution and the vector DFT, plane-wave propagation, and the BLUE and Kalman filtersExpands the material on Fourier analysis to three new chapters to provide additional background.

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