Linear Algebra for Signal Processing

✍ Scribed by P. Comon (auth.), Adam Bojanczyk, George Cybenko (eds.)

• Publisher: Springer-Verlag New York
• Year: 1995
• Tongue: English
• Leaves: 192
• Series: The IMA Volumes in Mathematics and its Applications 69
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xv
Structured Matrices and Inverses....Pages 1-16
Structured Condition Numbers for Linear Matrix Structures....Pages 17-26
The Canonical Correlations of Matrix Pairs and their Numerical Computation....Pages 27-49
Continuity of the Joint Spectral Radius: Application to Wavelets....Pages 51-61
Inversion of Generalized Cauchy Matrices and other Classes of Structured Matrices....Pages 63-81
Wavelets, Filter Banks, and Arbitrary Tilings of the Time-Frequency Plane....Pages 83-124
Systolic Algorithms for Adaptive Signal Processing....Pages 125-137
Adaptive Algorithms for Blind Channel Equalization....Pages 139-151
Square-Root Algorithms for Structured Matrices, Interpolation, and Completion Problems....Pages 153-184

✦ Subjects

Mathematics, general