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Fractal Elements and their Applications [electronic resource] / by Anis Kharisovich Gil’mutdinov, Pyotr Arkhipovich Ushakov, Reyad El-Khazali.

By: Gil’mutdinov, Anis Kharisovich [author.].
Contributor(s): Ushakov, Pyotr Arkhipovich [author.] | El-Khazali, Reyad [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Analog Circuits and Signal Processing: Publisher: Cham : Springer International Publishing : Imprint: Springer, 2017Edition: 1st ed. 2017.Description: XVIII, 252 p. 161 illus., 8 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783319452494.Subject(s): Electronic circuits | Signal processing | Electronics | Electronic Circuits and Systems | Signal, Speech and Image Processing | Electronics and Microelectronics, InstrumentationAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 621.3815 Online resources: Click here to access online
Contents:
1 Fractals and modelling of fractal Elements and processes -- 2 Fractal calculus fundamentals -- 3 Fractal elements -- 4 Design and Implementation of Thin RC-EDP Films -- 5 Schematic Realization of RC-EDP Circuits -- 6 Design and Fabrication of RC-EDP circuits -- 7 Nonlinear Structure of RC-EDP Circuits -- 8 Applications of fractal elements -- 9 Modeling of RC-EDP Circuits -- 10 Calculation one-dimensional RC-EDP primary parameters -- 11 Numerical methods of R-C-0-EDP Fractal Elements -- 12 Primary parameters calculation of the RC-EDP using generalized RCG-EDP devices.
In: Springer Nature eBookSummary: 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. .
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1 Fractals and modelling of fractal Elements and processes -- 2 Fractal calculus fundamentals -- 3 Fractal elements -- 4 Design and Implementation of Thin RC-EDP Films -- 5 Schematic Realization of RC-EDP Circuits -- 6 Design and Fabrication of RC-EDP circuits -- 7 Nonlinear Structure of RC-EDP Circuits -- 8 Applications of fractal elements -- 9 Modeling of RC-EDP Circuits -- 10 Calculation one-dimensional RC-EDP primary parameters -- 11 Numerical methods of R-C-0-EDP Fractal Elements -- 12 Primary parameters calculation of the RC-EDP using generalized RCG-EDP devices.

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. .

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