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  • © 2018

Spectral, Convolution and Numerical Techniques in Circuit Theory

Authors:

  • 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

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Table of contents (46 chapters)

  1. Front Matter

    Pages i-xxviii
  2. Introduction

    • Fuad Badrieh
    Pages 1-3
  3. Fourier Series and Periodic Functions

    • Fuad Badrieh
    Pages 91-123
  4. Complex Fourier Series

    • Fuad Badrieh
    Pages 125-134
  5. Fourier Transform

    • Fuad Badrieh
    Pages 135-153
  6. Properties of the Fourier Transforms

    • Fuad Badrieh
    Pages 155-183
  7. Fourier Transform of Periodic Signals

    • Fuad Badrieh
    Pages 217-229
  8. Bandwidth

    • Fuad Badrieh
    Pages 251-264
  9. Laplace Transform

    • Fuad Badrieh
    Pages 265-294
  10. Properties of Laplace Transform

    • Fuad Badrieh
    Pages 309-333
  11. Laplace Transform of Periodic Functions

    • Fuad Badrieh
    Pages 335-351
  12. Convolution

    • 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. 

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Authors and Affiliations

  • Micron Technology, Boise, USA

    Fuad Badrieh

About the author

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.

Bibliographic Information

  • Book Title: Spectral, Convolution and Numerical Techniques in Circuit Theory

  • Authors: Fuad Badrieh

  • DOI: https://doi.org/10.1007/978-3-319-71437-0

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing AG, part of Springer Nature 2018

  • Hardcover ISBN: 978-3-319-71436-3Published: 16 April 2018

  • Softcover ISBN: 978-3-030-10057-5Published: 09 February 2019

  • eBook ISBN: 978-3-319-71437-0Published: 27 March 2018

  • Edition Number: 1

  • Number of Pages: XXVIII, 976

  • Number of Illustrations: 1164 b/w illustrations

  • Topics: Circuits and Systems, Electronic Circuits and Devices, Electronics and Microelectronics, Instrumentation

Buy it now

Buying options

eBook USD 119.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access