Spectral, Convolution and Numerical Techniques in Circuit Theory

  • Fuad Badrieh

Table of contents

  1. Front Matter
    Pages i-xxviii
  2. Fuad Badrieh
    Pages 1-3
  3. Fuad Badrieh
    Pages 91-123
  4. Fuad Badrieh
    Pages 125-134
  5. Fuad Badrieh
    Pages 135-153
  6. Fuad Badrieh
    Pages 155-183
  7. Fuad Badrieh
    Pages 217-229
  8. Fuad Badrieh
    Pages 251-264
  9. Fuad Badrieh
    Pages 265-294
  10. Fuad Badrieh
    Pages 309-333
  11. Fuad Badrieh
    Pages 335-351
  12. Fuad Badrieh
    Pages 387-414

About this book


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.


Linear Systems and Signals Signals and Transforms in Linear Systems Analysis Microelectronics Circuit Analysis and Design Signals and Systems Elements of Electromagnetics

Authors and affiliations

  • Fuad Badrieh
    • 1
  1. 1.Micron TechnologyBoiseUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-71437-0
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-71436-3
  • Online ISBN 978-3-319-71437-0
  • About this book
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