Description
Book SynopsisThis 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
Table of Contents
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
