A practical guide to the mathematics behind signal processing, this book provides the essential mathematical background and tools necessary to understand and employ signal processing techniques. Topics addressed include: - Fourier series and transforms in one and several variables, - applications to acoustic and electromagnetic propagation models, - transmission and emission tomography and image reconstruction, - optimization techniques, - high-resolution methods, and more. The emphasis is on the general problem of extracting information from limited data obtained by some form of remote sensing: acoustic or radar processing, satellite imaging, or medical tomographic scanning.
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Charles L. Byrne earned a BA from Georgetown University and his MA and Ph.D. from the University of Pittsburgh, all in Mathematics. He is currently a professor in the Department of Mathematical Sciences at the University of Massachusetts, Lowell, and served as department chair from 1987-1990. From 1979 to 1993 he was a consultant to the Acoustics Division, US Naval Research Laboratory and since 1990 he has also been a consultant to the Department of Radiology, University of Massachusetts Medical School, Worcester.
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