Authors:
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Analog Circuits and Signal Processing (ACSP)
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Table of contents (12 chapters)
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Front Matter
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Back Matter
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.
Authors and Affiliations
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Kazan National Research Technical University-KAI (KNRTU-KAI), Kazan, Russia
Anis Kharisovich Gil’mutdinov
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Kalashnikov State Technical University , Izhevsk, Russia
Pyotr Arkhipovich Ushakov
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Khalifa Univ. of Science, Tech. & Research, Abu Dhabi, United Arab Emirates
Reyad El-Khazali
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.
Bibliographic Information
Book Title: Fractal Elements and their Applications
Authors: Anis Kharisovich Gil’mutdinov, Pyotr Arkhipovich Ushakov, Reyad El-Khazali
Series Title: Analog Circuits and Signal Processing
DOI: https://doi.org/10.1007/978-3-319-45249-4
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2017
Hardcover ISBN: 978-3-319-45248-7Published: 17 February 2017
Softcover ISBN: 978-3-319-83249-4Published: 13 July 2018
eBook ISBN: 978-3-319-45249-4Published: 08 February 2017
Series ISSN: 1872-082X
Series E-ISSN: 2197-1854
Edition Number: 1
Number of Pages: XVIII, 252
Number of Illustrations: 153 b/w illustrations, 8 illustrations in colour
Topics: Circuits and Systems, Electronic Circuits and Devices, Signal, Image and Speech Processing, Electronics and Microelectronics, Instrumentation