Titlebook: Linear Algebra for Signal Processing; Adam Bojanczyk,George Cybenko Conference proceedings 1995 Springer-Verlag New York, Inc. 1995 Algebr

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Conference proceedings 1995ng 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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0940-6573 d 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 sophistic

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Structured Matrices and Inverses,tructured matrix is structured, which allows fast inversion (or solution), and reduced storage requirements. According to two definitions of displacement structure of practical interest, it is shown here that several types of inverses are also structured, including the Moore- Penrose inverse of rank

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The Canonical Correlations of Matrix Pairs and their Numerical Computation,theorem for matrix pairs having the same number of rows which explicitly exhibits the canonical correlations. We then present a perturbation analysis of the canonical correlations, which compares favorably with the classical first order perturbation analysis. Then we propose several numerical algori

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Continuity of the Joint Spectral Radius: Application to Wavelets,llows matrix products Π. taken in all orders, so that norms and eigenvalues are difficult to estimate. We show that the limiting process does yield a continuous function of the original matrices—this is their joint spectral radius. Then we describe the construction of wavelets from a dilation equati

Oration

Inversion of Generalized Cauchy Matrices and other Classes of Structured Matrices,e complex numbers, are presented. The approach is based on the interpretation of equations . = . as tangential interpolation problems. Furthermore, it is described how other types of structured matrices like Toeplitz matrices and their generalizations can be transformed into generalized Cauchy matri

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Wavelets, Filter Banks, and Arbitrary Tilings of the Time-Frequency Plane,ress essentially two versions of the same problem: construction of structured bases for the linear expansion of signals. In the filter bank case the signals are elements of some sequence space, while in the wavelet case they are from some function space, but the objectives, and designs in both cases

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