Linear Algebra for Signal Processing

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Adam Bojanczyk, George Cybenko
Springer Science & Business Media, Apr 7, 1995 - Technology & Engineering - 184 pages
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Signal processing applications have burgeoned in the past decade. During the same time, signal processing techniques have matured rapidly and now include tools from many areas of mathematics, computer science, physics, and engineering. This trend will continue as many new signal processing applications are opening up in consumer products and communications systems.
In particular, signal processing has been making increasingly sophisticated use of linear algebra on both theoretical and algorithmic fronts. This volume gives particular emphasis to exposing broader contexts of the signal processing problems so that the impact of algorithms and hardware can be better understood; it brings together the writings of signal processing engineers, computer engineers, and applied linear algebraists in an exchange of problems, theories, and techniques. This volume will be of interest to both applied mathematicians and engineers.
 

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Contents

STRUCTURED MATRICES AND INVERSES
1
STRUCTURED CONDITION NUMBERS FOR LINEAR MATRIX STRUCTURES
17
THE CANONICAL CORRELATIONS OF MATRIX PAIRS AND THEIR NUMERICAL COMPUTATION
27
APPLICATION TO WAVELETS
51
INVERSION OF GENERALIZED CAUCHY MATRICES AND OTHER CLASSES OF STRUCTURED MATRICES
63
WAVELETS FILTER BANKS AND ARBITRARY TILINGS OF THE TIMEFREQUENCY PLANE
83
SYSTOLIC ALGORITHMS FOR ADAPTIVE SIGNAL PROCESSING
125
ADAPTIVE ALGORITHMS FOR BLIND CHANNEL EQUALIZATION
139
SQUAREROOT ALGORITHMS FOR STRUCTURED MATRICES INTERPOLATION AND COMPLETION PROBLEMS
153
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