Spectral, Convolution and Numerical Techniques in Circuit Theory

Fuad Badrieh is a Senior Member of Technical Staff Engineer at Micron Technology, in Boise, Idaho. He obtained his BS, MS and PhD in EE at Arizona State University. He brings 17 years of industrial experience in modelling, circuit design, power integrity and automation.

Introduction.- Steady State Solutions to Circuit Problems.- Differential Equation Solution to Circuit Problems.- Series Expansion solution for Circuit Problems.- Numerical Differential Equation Solution to Circuit Problems.- Fourier Series and Periodic Functions.- Complex Fourier Series.- Fourier Transform.- Properties of the Fourier Transforms.- Further Examples/Topics on Fourier Transform.- Fourier Transform of Periodic Signals.- Approximate and Numerical Techniques in Fourier Transform.- Bandwidth.- Laplace Transform.- Using Complex Integration to Figure Inverse Laplace Transform.- Properties of Laplace Transform.- Laplace Transform of Periodic Functions.- Finding Inverse Laplace Transform via Partial Fractions.- Convolution.- Signal Construction in Terms of Convolution Integrals.- The Delta Function.- Impulse Response.- Time Convolution with Impulse Response.- Time Convolution with the Unit Step Response.- Sampling and the Sampling Theorem.- Transfer Functions.- The Phase.- Stability and Relation to Poles Placements.- Impulse Response as Configured from Inverse Transform.- Unit Step Response as Configured from Inverse Transform.- Pulse response.- Causal Cosine and Sine Response.- Causal, Periodic Pulse Response.- Slanted Unit Step Response.- Voltage/Voltage Filters.- RLC Circuits with Feedback.- Matrix Solution to MultiBranch Networks.- MultiSource Networks and Superposition.- Systems with Initial Conditions.- Application to Transistor Modeling and Circuits.- Op-Amp Filters.- Multi-port Network: Z-, Y-Parameters.- Scattering (s-) Parameters.- Application of Spectral Techniques to Solving 2D Electrostatic Problems.- Application of Spectral Techniques in Solving Diffusion Problems.- Application of Spectral Techniques in Solving the Wave Equation.- Appendix.- References.- Index.