Analog Circuits and Signal Processing

Fractal Elements and their Applications

Authors: Gil’mutdinov, Anis Kharisovich, Ushakov, Pyotr Arkhipovich, El Khazali, Reyad

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  • Presents new passive electronic components, in which the relationship between the current and the voltage at the terminals is described by differential equations of fractional order (i.e., fractal impedance elements or "fractal elements")
  • Emphasizes the theoretical understanding, hardware implementation and practical application of fractional-order dynamics
  • Enables engineers with the tools of fractal geometry and fractional analysis to develop new instruments, devices and systems for signal processing
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eBook 118,99 €
price for Spain (gross)
  • ISBN 978-3-319-45249-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
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  • Immediate eBook download after purchase
Hardcover 145,59 €
price for Spain (gross)
  • ISBN 978-3-319-45248-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 145,59 €
price for Spain (gross)
  • ISBN 978-3-319-83249-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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. 

About the authors

Anis Kharisovich Gil’mutdinov is a Professor at Kazan National Research Technical University, in Kazan, Russia.

Pyotr Arkhipovich Shakos is a Professor at Kalashnikov State Technical University in Izhevsk, Russia.

Reyad El-Khazali is an Associate Professor of Electronics Engineering at Khalifa University of Science, Technology, and Research.

Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook 118,99 €
price for Spain (gross)
  • ISBN 978-3-319-45249-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 145,59 €
price for Spain (gross)
  • ISBN 978-3-319-45248-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 145,59 €
price for Spain (gross)
  • ISBN 978-3-319-83249-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Fractal Elements and their Applications
Authors
Series Title
Analog Circuits and Signal Processing
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-45249-4
DOI
10.1007/978-3-319-45249-4
Hardcover ISBN
978-3-319-45248-7
Softcover ISBN
978-3-319-83249-4
Series ISSN
1872-082X
Edition Number
1
Number of Pages
XVIII, 252
Number of Illustrations
153 b/w illustrations, 8 illustrations in colour
Topics