Linear Systems Properties

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.