Linear Systems Properties: A Quick Reference

1st Edition

Venkatarama Krishnan

CRC Press
Published March 6, 1998
Reference - 304 Pages
ISBN 9780849322914 - CAT# 2291
Series: Control Series

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Summary

This pocket book serves as an immediate reference for the various formulae encountered in linear systems, control systems, probability, communication engineering, signal processing, quantum mechanics, and electromagnetic field theory. It includes novel results on complex convolutions; clearly explains real and complex matrix differentiation methods; provides an unusual amount of orthogonal functions; and presents properties of Fourier series, Fourier transforms, Hilbert transforms, Laplace transforms, and z-transforms. Singular value decomposition techniques for matrix inversion are also clearly presented.
This new edition adds material from:
  • Orthogonal functions
  • Linear algebra
  • Matrix analysis
  • Matrix and vector differentiation
  • Singular value decomposition
  • State space techniques
    Other discussions include:
  • Discrete linear and circular convolution
  • Gram-Schmidt orthogonalization procedure
  • Graphical derivation of DFT from CFT
  • Truncation windows
  • Eigenvalues and eigenvectors of matrices
    This succint resource will be particularly useful as a supplement to regular texts, designed for the master's or doctoral student as well as the advanced undergraduate.
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