Spectral, Convolution and Numerical Techniques in Circuit Theory

图书简介

This book describes a set of tools and algorithms then enable the electrical engineer in fields such as circuit design, power delivery, signal integrity, analog design, package and board modeling to arrive at approximate and exact solutions robustly and relatively efficiently, even when typical software packages may fail to do so. By leveraging well established and time tested methods, the author demonstrates how the practitioner will be able to deal with various circuit design problems and signal integrity issues both in the frequency and time domains. The presented tool set is an alternative to ?brute force? time discretization and software utilization, offering great insight into the operations of linear systems ranging from RLC networks to device modeling.

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.

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Spectral, Convolution and Numerical Techniques in Circuit Theory 工程热物理

Spectral, Convolution and Numerical Techniques in Circuit Theory
工程热物理