Offers a reference for various formulae encountered in linear systems, control systems, probability, communication engineering, signal processing, quantum mechanics, and electromagnetic field theory. This title includes novel results on complex convolutions. It explains real and complex matrix differentiation methods.

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.

Mathematical Formulae, Impulse Function Modeling, Signal Properties, Continuous Time Convolution, Discrete Linear and Circular Convolution, Eigenfunctions and Orthogonal Polynomials, Useful Orthogonal Polynomials, Gram-Schmidt Orthogonalization Procedure, Properties of Continuous Fourier Series, Fourier Transform from Fourier Series, Properties of Continuous Fourier Transforms, Continuous Fourier Transform Pairs, Inverse Fourier Transforms (Contour Integration) Derivation of Hilbert Transforms, Convergence of Bilateral Laplace Transforms, Properties of Bilateral Laplace Transforms, Unilateral Laplace Transform Pairs, Complex Convolution (Laplace Transforms), Properties of Discrete-Time Fourier Series, Properties of Discrete-Time Fourier Transforms, **Properties of Discrete Fourier Transforms, Graphical Derivation of DFT from CFT, Analytical Derivation of FFT Algorithm, Convergence of Bilateral z-Transforms, Properties of Bilateral z-Transforms, Unilateral z-Transform Pairs, Complex Convolution (z-Transforms), Truncation Windows, Linear Spaces, Basic Theory of Matrices, Eigenvalues and Eigenvectors of Matrices, Singular Value Decomposition (SVD), Vector and Matrix Differentiation, State Space Techniques