Items related to MATHEMATICAL PRINCIPLES OF SIGNAL PROCESSING: FOURIER...
Synopsis
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, filter
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- PublisherSpringer India Pvt. Ltd
- Publication date2012
- ISBN 10 8132204832
- ISBN 13 9788132204831
- BindingPaperback
- LanguageEnglish
- Edition number1
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