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Fractal Elements and their Applications

  • Anis Kharisovich Gil’mutdinov
  • Pyotr Arkhipovich Ushakov
  • Reyad El-Khazali

Part of the Analog Circuits and Signal Processing book series (ACSP)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Anis Kharisovich Gil’mutdinov, Pyotr Arkhipovich Ushakov, Reyad El-Khazali
    Pages 1-19
  3. Anis Kharisovich Gil’mutdinov, Pyotr Arkhipovich Ushakov, Reyad El-Khazali
    Pages 21-39
  4. Anis Kharisovich Gil’mutdinov, Pyotr Arkhipovich Ushakov, Reyad El-Khazali
    Pages 41-92
  5. Anis Kharisovich Gil’mutdinov, Pyotr Arkhipovich Ushakov, Reyad El-Khazali
    Pages 93-107
  6. Anis Kharisovich Gil’mutdinov, Pyotr Arkhipovich Ushakov, Reyad El-Khazali
    Pages 109-125
  7. Anis Kharisovich Gil’mutdinov, Pyotr Arkhipovich Ushakov, Reyad El-Khazali
    Pages 127-140
  8. Anis Kharisovich Gil’mutdinov, Pyotr Arkhipovich Ushakov, Reyad El-Khazali
    Pages 141-155
  9. Anis Kharisovich Gil’mutdinov, Pyotr Arkhipovich Ushakov, Reyad El-Khazali
    Pages 157-179
  10. Anis Kharisovich Gil’mutdinov, Pyotr Arkhipovich Ushakov, Reyad El-Khazali
    Pages 181-189
  11. Anis Kharisovich Gil’mutdinov, Pyotr Arkhipovich Ushakov, Reyad El-Khazali
    Pages 191-209
  12. Anis Kharisovich Gil’mutdinov, Pyotr Arkhipovich Ushakov, Reyad El-Khazali
    Pages 211-226
  13. Anis Kharisovich Gil’mutdinov, Pyotr Arkhipovich Ushakov, Reyad El-Khazali
    Pages 227-248
  14. Back Matter
    Pages 249-252

About this book

Introduction

This book describes a new type of passive electronic components, called fractal elements, from a theoretical and practical point of view. The authors discuss in detail the physical implementation and design of fractal devices for application in fractional-order signal processing and systems. The concepts of fractals and fractal signals are explained, as well as the fundamentals of fractional calculus. Several implementations of fractional impedances are discussed, along with comparison of their performance characteristics. Details of design, schematics, fundamental techniques and implementation of RC-based fractal elements are provided. 


Keywords

Fractal electronics Fractal signal processing fractional-order dynamics fractional impedance thin film circuits

Authors and affiliations

  • Anis Kharisovich Gil’mutdinov
    • 1
  • Pyotr Arkhipovich Ushakov
    • 2
  • Reyad El-Khazali
    • 3
  1. 1.Kazan National Research Technical University-KAI (KNRTU-KAI)KazanRussia
  2. 2.Kalashnikov State Technical University IzhevskRussia
  3. 3.Khalifa Univ. of Science, Tech. & ResearchAbu DhabiUnited Arab Emirates

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-45249-4
  • Copyright Information Springer International Publishing Switzerland 2017
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-45248-7
  • Online ISBN 978-3-319-45249-4
  • Series Print ISSN 1872-082X
  • Series Online ISSN 2197-1854
  • Buy this book on publisher's site