| Mathematical Principles of Signal Processing: Fourier and Wavelet Analysis 2002 Edition Contributor(s): Bremaud, Pierre (Author) |
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ISBN: 0387953388 ISBN-13: 9780387953380 Publisher: Springer OUR PRICE: $94.99 Product Type: Hardcover Published: May 2002 Annotation: Fourier analysis is one of the most useful tools in applied science. This book bridged the gap between the engineer and mathematics, providing a rigorously mathematical introduction to Fourier analysis, wavelet analysis, and related mathematical methods. 47 illustrations. |
| Additional Information |
| BISAC Categories: - Technology & Engineering | Telecommunications - Mathematics | Mathematical Analysis - Technology & Engineering | Electrical |
| Dewey: 621.382 |
| LCCN: 2001042957 |
| Physical Information: 0.74" H x 6.36" W x 9.48" (1.18 lbs) 270 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Fourier analysis is one of the most useful tools in many applied sciences. The recent developments of wavelet analysis indicate that in spite of its long history and well-established applications, the field is still one of active research. This text bridges the gap between engineering and mathematics, providing a rigorously mathematical introduction of Fourier analysis, wavelet analysis and related mathematical methods, while emphasizing their uses in signal processing and other applications in communications engineering. The interplay between Fourier series and Fourier transforms is at the heart of signal processing, which is couched most naturally in terms of the Dirac delta function and Lebesgue integrals. The exposition is organized into four parts. The first is a discussion of one-dimensional Fourier theory, including the classical results on convergence and the Poisson sum formula. The second part is devoted to the mathematical foundations of signal processing sampling, filtering, digital signal processing. Fourier analysis in Hilbert spaces is the focus of the third part, and the last part provides an introduction to wavelet analysis, time-frequency issues, and multiresolution analysis. An appendix provides the necessary background on Lebesgue integrals. |
