Linear System Properties
A Quick Reference
1st Edition
Will be published approx. on 6. March 1998
Book
Paperback/Softback
X, 292 pages
978-0-8493-2291-4 (ISBN)
Description
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.
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.
More details
Other editions
Additional editions
E-Book
02/2021
1st Edition
CRC Press
€86.99
Available for download
E-Book
02/2021
1st Edition
CRC Press
€86.99
Available for download
Person
Dr. Venkatarama Krishnan received his Ph.D. in Electrical Engineering from the University of Pennsylvania, he has 41 years of teaching experience inclduing faculty positions at the University of Massachusetts, Indian Institute of Science, Polytechnic Institute of Brooklyn, University of Pennsylvania, Villanova University and Princeton University. He has extent experience in research and his hobbies include graphic arts, photography, Shakespeare, painting, music, and travelling.
Content
Mathematical FormulaeImpulse Function ModelingSignal PropertiesContinuous Time ConvolutionDiscrete Linear and Circular ConvolutionEigenfunctions and Orthogonal PolynomialsUseful Orthogonal PolynomialsGram-Schmidt Orthogonalization ProcedureProperties of Continuous Fourier SeriesFourier Transform from Fourier SeriesProperties of Continuous Fourier TransformsContinuous Fourier Transform PairsInverse Fourier Transforms (Contour Integration)Derivation of Hilbert TransformsConvergence of Bilateral Laplace TransformsProperties of Bilateral Laplace TransformsUnilateral Laplace Transform PairsComplex Convolution (Laplace Transforms)Properties of Discrete-Time Fourier SeriesProperties of Discrete-Time Fourier Transforms**Properties of Discrete Fourier TransformsGraphical Derivation of DFT from CFTAnalytical Derivation of FFT AlgorithmConvergence of Bilateral z-TransformsProperties of Bilateral z-TransformsUnilateral z-Transform PairsComplex Convolution (z-Transforms)Truncation WindowsLinear SpacesBasic Theory of MatricesEigenvalues and Eigenvectors of MatricesSingular Value Decomposition (SVD)Vector and Matrix DifferentiationState Space TechniquesReferencesIndex