Fuad Badrieh

Spectral, Convolution and Numerical Techniques in Circuit Theory (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

• 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 gradually 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.

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Produktdetails

• Verlag: Springer Nature Switzerland
• Seitenzahl: 976
• Erscheinungstermin: 27. März 2018
• Englisch
• ISBN-13: 9783319714370
• Artikelnr.: 52944401

Autorenporträt

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.

Inhaltsangabe

1 Introduction 2 Steady State Solutions to Circuit Problems 3 Differential Equation Solution to Circuit Problems 4 Series Expansion solution for Circuit Problems 5 Numerical Differential Equation Solution to Circuit Problems 6 Fourier Series and Periodic Functions 7 Complex Fourier Series 8 Fourier Transform 9 Properties of the Fourier Transforms 10 Further Examples/Topics on Fourier Transform 11 Fourier Transform of Periodic Signals 12 Approximate and Numerical Techniques in Fourier Transform 13 Bandwidth 14 Laplace Transform 15 Using Complex Integration to Figure Inverse Laplace Transform 16 Properties of Laplace Transform 17 Laplace Transform of Periodic Functions 18 Finding Inverse Laplace Transform via Partial Fractions 19 Convolution 20 Signal Construction in Terms of Convolution Integrals 21 The Delta Function 22 Impulse Response 23 Time Convolution with Impulse Response 24 Time Convolution with the Unit Step Response 25 Sampling and the Sampling Theorem 26 Transfer Functions 27 The Phase 28 Stability and Relation to Poles Placements 29 Impulse Response as Configured from Inverse Transform 30 Unit Step Response as Configured from Inverse Transform 31 Pulse response 32 Causal Cosine and Sine Response 33 Causal, Periodic Pulse Response 34 Slanted Unit Step Response 35 Voltage/Voltage Filters 36 RLC Circuits with Feedback 37 Matrix Solution to MultiBranch Networks 38 MultiSource Networks and Superposition 39 Systems with Initial Conditions 40 Application to Transistor Modeling and Circuits 41 Op-Amp Filters 42 Multi-port Network: Z-, Y-Parameters 43 Scattering (s-) Parameters 44 Application of Spectral Techniques to Solving 2D Electrostatic Problems 45 Application of Spectral Techniques in Solving Diffusion Problems 46 Application of Spectral Techniques in Solving the Wave Equation Appendix References Index