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020 _a3319452495
_q(electronic bk.)
020 _a9783319452494
_q(electronic bk.)
020 _z3319452487
020 _z9783319452487
_q(print)
035 _a(OCoLC)972330994
_z(OCoLC)972593068
_z(OCoLC)972774279
_z(OCoLC)972943898
_z(OCoLC)973135713
_z(OCoLC)973301955
_z(OCoLC)973368039
_z(OCoLC)973501389
_z(OCoLC)973753194
_z(OCoLC)981851074
_z(OCoLC)1005774033
_z(OCoLC)1011847648
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050 4 _aQA314
_b.G556 2017 EB
100 1 _aGil'mutdinov, Anis Kharisovich,
_eautor
_eeditor.
245 1 0 _aFractal elements and their applications
_cAnis Kharisovich Gil'mutdinov, Pyotr Arkhipovich Ushakov, Reyad El-Khazali ; ed. by A.Kh. Gil'mutdinov.
264 1 _aCham, Switzerland
_bSpringer
_c2017
300 _a1 recurso en línea
336 _aTexto
_btxt
_2rdacontent
337 _aelectrónico
_bc
_2rdamedia
338 _arecurso electrónico
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 0 _aAnalog circuits and signal processing
500 _aSpringerLink
_bSpringer Engineering eBooks 2017 English+International
504 _aIncluye referencias bibliográficas
505 0 _aForeword; Contents; Abbreviations; Chapter 1: Modeling of Fractal Elements and Processes; 1.1 Concept of Fractals, Self-Similarity, and Scaling; 1.2 Dimension Types; 1.3 Regular Fractals; 1.4 Irregular Random Fractals; 1.5 Multifractals; 1.6 Fractal Signals; 1.7 Physical Meaning of Hurst Parameter; 1.8 Relation Between Fractality and Spectrum Response; 1.9 Examples of Signal Analysis; Chapter 2: Fractal Calculus Fundamentals; 2.1 Preliminaries; 2.2 Properties of Fractional-Order Integrals and Derivatives; 2.2.1 Riemann-Liouville Fractional-Order Integral and Derivative
505 8 _a2.2.2 Grunwald-Letnikov Fractional-Order Derivative and Integral2.2.3 Properties of Fractional-Order Derivatives; 2.3 Laplace Transform of Fractional-Order Operators; 2.3.1 Fundamentals of Laplace Transform; 2.3.2 Laplace Transform of Fractional-Order Integrals; 2.3.3 Laplace Transform of Fractional-Order Derivatives; 2.4 Fourier Transform of Fractional-Order Operators; 2.4.1 Fundamentals of Fourier Transform; 2.4.2 Fourier Transform of Fractional-Order Integrals; 2.4.3 Fourier Transform of Fractional-Order Derivatives; 2.5 Dynamics of Fractional-Order Transfer Functions
505 8 _a2.5.1 Fractional-Order Transfer Functions2.5.2 Mittag-Leffler Function; 2.5.3 Solving Fractional-Order Differential Equation (FoDEQ) Using Laplace Transform; 2.6 Fractional-Order Electrical and Electronic Systems; 2.6.1 Semi-infinite Transmission Line; 2.6.2 Electrochemistry; 2.6.3 Rough Surface Impedance; Chapter 3: Fractal Elements; 3.1 Fractal Impedances and Fractal Element; 3.2 Implementation of Fractal Impedances Using Electrochemical Converters; 3.2.1 Liquid Electrolyte Electrochemical Signal Converters; 3.2.2 Solid Electrolyte Electrochemical Signal Converters
505 8 _a3.2.3 Fractal Element Fractor3.3 Implementation of Fractal Impedances (Immittances) Using RC Circuits with Lumped Parameters; 3.3.1 Preliminaries; 3.3.2 Properties of Input RC-Transfer Functions; 3.3.3 Circuit Realization Using Foster Forms; 3.3.4 Circuit Realization Using Cauer Forms; 3.3.5 Rational Approximation of Fractal-Order Impedances; 3.3.5.1 The Oustaloup Method of Rational Approximation; 3.3.5.2 Shareff Method of Rational Approximation; 3.3.5.3 El-Khazali Approximation of Fractional-Order Integro-Differential Operators; 3.3.6 Realization of Fractional-Order Inductors (FoIs)
505 8 _a3.3.7 Realization of Fractional-Order Capacitors (FoC)3.4 Realization of Fractal Impedances Using RC Circuits with Distributed Parameters; 3.5 Fabrication of Fractal Impedances Using Nanostructured Materials; 3.6 Comparison of Fractal Element Characteristics Using Different Fabrication Technology; Chapter 4: Design and Implementation of Thin RC-EDP Films; 4.1 Classification of Static Heterogeneous Characteristics of RC-EDP Films; 4.2 RC-EDP Film Design of Multilayer Structure; 4.3 Design Development of RC-EDP Films by Changing Layers Geometry
520 3 _aThis 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. .
650 7 _aFractales
_2embne
_0(OCoLC)fst00933507
_0
_9151231
700 1 _aEl-Khazali, Reyad,
_eautor
700 1 _aUshakov, Pyotr Arkhipovich,
_eautor
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=http://link.springer.com/10.1007/978-3-319-45249-4
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
988 _aEBOOK, asignarmaterias, EBSPRINGER_2017B
998 _b02/2018
_dz
_e-
_zSI
999 _c95367
_d95367
_x1