The Mathematics of Signal Processing
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DAMELIN: “FM” — 2011/10/28 — 14:41 — PAGEi—#1
The Mathematics of Signal Processing
Arising from courses taught by the authors, this largely self-contained treatment is
ideal for mathematicians who are interested in applications or for students from
applied fields who want to understand the mathematics behind their subject.
Early chapters cover Fourier analysis, functional analysis, probability and linear
algebra, all of which have been chosen to prepare the reader for the applications to
come. The book includes rigorous proofs of core results in compressive sensing and
wavelet convergence. Fundamental is the treatment of the linear system y =Φx in
both finite and infinite dimensions. There are three possibilities: the system is
determined, overdetermined or underdetermined, each with different aspects.
The authors assume only basic familiarity with advanced calculus, linear algebra and
matrix theory, and modest familiarity with signal processing, so the book is accessible
to students from the advanced undergraduate level. Many exercises are also included.
steven b. damelin is Full Professor of Mathematics and Director for the Unit of
Advances in Mathematics and its Applications at Georgia Southern University.
willard miller, jr. is Professor Emeritus in the School of Mathematics at the
University of Minnesota.
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caiweihust2013-10-04蛮清晰的，这个资源不太好找，谢谢po主了
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