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Advances in Signal Transforms: Theory and Applications
Advances in Signal Transforms: Theory and Applications
Date: 08 February 2011, 20:28

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Why yet another book on transforms? The answer to this question is simple: because transforms are the fundamental issue in digital signal, image, and video processing. Whatever we do in digital signal processing, fromthe very beginning to the very end, we do it in a domain of a certain signal transform. Researchers working in the field need to be constantly updated to its state of the art and progress. Integral transforms, specifically convolution and Fourier and Laplace integral transforms, have been used in what we call now electronic and communication engineering since its very beginning (in 1920–1940). It is, apparently, impossible to give credit to numerous researchers who contributed to this process, but at least the following three names should be mentioned: Oliver Heaviside, Harry Nyquist, and Norbert Wiener. In the theory of optical imaging, E. Abbe revolutionized the theory of optical imaging even earlier when he suggested, in 1880, to treat lenses as Fourier transformers.


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