Linear Systems Properties

1. Auflage 1998
ISBN: 978-0-8493-2291-4
Verlag: CRC Press

Buch, Englisch, 304 Seiten, Format (B × H): 112 mm x 170 mm, Gewicht: 213 g

Reihe: Control Series

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.

Zielgruppe

Postgraduate, Undergraduate Advanced, and Undergraduate Core

Autoren/Hrsg.

Krishnan, Venkatarama

Fachgebiete

• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Naturwissenschaften Physik Physik Allgemein Geschichte der Physik
• Naturwissenschaften Physik Physik Allgemein Experimentalphysik
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

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

Über Autor(innen)

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.