Signal processing : a mathematical approach /

Byrne, Charles L., 1947-

Signal processing : a mathematical approach / Charles L. Byrne, University of Massachusetts Lowell, Lowell, Massachusetts, USA. - Second edition. - 1 online resource (xxv, 413 pages) : illustrations - Monographs and research notes in mathematics . - Monographs and research notes in mathematics. .

"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.

Open Access

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.

9781482241853 1482241854 1482241846 9781482241846

10.1201/b17672 doi

CL0500000532 Safari Books Online 102705 Knowledge Unlatched

2014028555

016978021 Uk 016965598 Uk


Signal processing--Mathematics.
Applied mathematics
TECHNOLOGY & ENGINEERING--Mechanical.
Signal processing--Mathematics.


Electronic books.
Electronic books.

TK5102.9 / .B96 2015

621.38220151