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.