Spectral, Convolution and Numerical Techniques in Circuit Theory

Integrates the most relevant aspects of signals and systems, circuit theory, mathematical techniques, and graphics into a coherent flow at reasonable depth Covers a vast range of applications, ranging from RLC circuits, signal integrity, power delivery, feedback, transistor modeling, scattering parameters, multi-port networks, transmission lines, analog circuits, stability,sampling, algorithms, and numerical techniques

Follows a uniform presentation throughout, starting with theory at each stage, presenting multiple methods to solve the given problem, generating a solution and comparing to Spice results

Driven by the authors' industrial experience, but rooted in academic research with ample of applications, examples, algorithms and verifications

dually developed into simpler examples, culminating with real applications, then algorithmically coded, visualized and tested Utilizes computer simulations, but with the barest lines of code to achieve satisfactory results Driven by the authors' industrial experience, but rooted in academic research with ample use of applications, examples, algorithms and verifications Integrates the most relevant aspects of signals and systems, circuit theory, mathematical techniques, and graphics into a coherent flow at reasonable depth Covers a vast range of applications, ranging from RLC circuits, signal integrity, power delivery, feedback, transistor modeling, scattering parameters, multi-port networks, transmission lines, analog circuits, stability,sampling, algorithms, and numerical techniques Follows a uniform presentation throughout, starting with theory at each stage, presenting multiple methods to solve the given problem, generating a solution and comparing to Spice results Demonstrates scientific and visual computation both in the time and frequency domain, with special emphasis on computations in the complex plane, spectral analysis, inverse transforms and distributed media Emphasizes root concepts and particular ins-and-outs of spectral and convolution techniques, which are gra

Autorentext
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.

Inhalt
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.<p