Fractional Signals And Systems


Fractional Signals And Systems
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Fractional Signals And Systems


Fractional Signals And Systems
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Author : Manuel Duarte Ortigueira
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-03-09

Fractional Signals And Systems written by Manuel Duarte Ortigueira and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-09 with Mathematics categories.


The book illustrates the theoretical results of fractional derivatives via applications in signals and systems, covering continuous and discrete derivatives, and the corresponding linear systems. Both time and frequency analysis are presented. Some advanced topics are included like derivatives of stochastic processes. It is an essential reference for researchers in mathematics, physics, and engineering.



Fractional Processes And Fractional Order Signal Processing


Fractional Processes And Fractional Order Signal Processing
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Author : Hu Sheng
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-10-20

Fractional Processes And Fractional Order Signal Processing written by Hu Sheng and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-20 with Technology & Engineering categories.


Fractional processes are widely found in science, technology and engineering systems. In Fractional Processes and Fractional-order Signal Processing, some complex random signals, characterized by the presence of a heavy-tailed distribution or non-negligible dependence between distant observations (local and long memory), are introduced and examined from the ‘fractional’ perspective using simulation, fractional-order modeling and filtering and realization of fractional-order systems. These fractional-order signal processing (FOSP) techniques are based on fractional calculus, the fractional Fourier transform and fractional lower-order moments. Fractional Processes and Fractional-order Signal Processing: presents fractional processes of fixed, variable and distributed order studied as the output of fractional-order differential systems; introduces FOSP techniques and the fractional signals and fractional systems point of view; details real-world-application examples of FOSP techniques to demonstrate their utility; and provides important background material on Mittag–Leffler functions, the use of numerical inverse Laplace transform algorithms and supporting MATLAB® codes together with a helpful survey of relevant webpages. Readers will be able to use the techniques presented to re-examine their signals and signal-processing methods. This text offers an extended toolbox for complex signals from diverse fields in science and engineering. It will give academic researchers and practitioners a novel insight into the complex random signals characterized by fractional properties, and some powerful tools to analyze those signals.



Fractional Order Signal Processing


Fractional Order Signal Processing
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Author : Saptarshi Das
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-15

Fractional Order Signal Processing written by Saptarshi Das and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-15 with Technology & Engineering categories.


The book tries to briefly introduce the diverse literatures in the field of fractional order signal processing which is becoming an emerging topic among an interdisciplinary community of researchers. This book is aimed at postgraduate and beginning level research scholars who would like to work in the field of Fractional Order Signal processing (FOSP). The readers should have preliminary knowledge about basic signal processing techniques. Prerequisite knowledge of fractional calculus is not essential and is exposited at relevant places in connection to the appropriate signal processing topics. Basic signal processing techniques like filtering, estimation, system identification, etc. in the light of fractional order calculus are presented along with relevant application areas. The readers can easily extend these concepts to varied disciplines like image or speech processing, pattern recognition, time series forecasting, financial data analysis and modeling, traffic modeling in communication channels, optics, biomedical signal processing, electrochemical applications and many more. Adequate references are provided in each category so that the researchers can delve deeper into each area and broaden their horizon of understanding. Available MATLAB tools to simulate FOSP theories are also introduced so that the readers can apply the theoretical concepts right-away and gain practical insight in the specific domain.



Signals And Systems Edition 3 0


Signals And Systems Edition 3 0
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Author : Michael D. Adams
language : en
Publisher: Michael Adams
Release Date : 2020-12-15

Signals And Systems Edition 3 0 written by Michael D. Adams and has been published by Michael Adams this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-15 with Technology & Engineering categories.


This book is intended for use in teaching undergraduate courses on continuous-time and/or discrete-time signals and systems in engineering (and related) disciplines. It provides a detailed introduction to continuous-time and discrete-time signals and systems, with a focus on both theory and applications. The mathematics underlying signals and systems is presented, including topics such as: signal properties, elementary signals, system properties, continuous-time and discrete-time linear time-invariant systems, convolution, continuous-time and discrete-time Fourier series, the continuous-time and discrete-time Fourier transforms, frequency spectra, and the bilateral and unilateral Laplace and z transforms. Applications of the theory are also explored, including: filtering, equalization, amplitude modulation, sampling, feedback control systems, circuit analysis, Laplace-domain techniques for solving differential equations, and z-domain techniques for solving difference equations. Other supplemental material is also included, such as: a detailed introduction to MATLAB, a review of complex analysis, an introduction to partial fraction expansions, an exploration of time-domain techniques for solving differential equations, and information on online video-lecture content for material covered in the book. Throughout the book, many worked-through examples are provided. Problem sets are also provided for each major topic covered.



Se Ales Y Sistemas


Se Ales Y Sistemas
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Author : Alan V. Oppenheim
language : en
Publisher: Pearson Educación
Release Date : 1998

Se Ales Y Sistemas written by Alan V. Oppenheim and has been published by Pearson Educación this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.


1. Señales y sistemas 2. Sistemas lineales invariantes en el tiempo 3. Representación de señales periódicas en series de Fourier 4. La transformada contínua de Fourier 5. La transformada de Fourier de tiempo discreto 6. Caracterización en tiempo y frecuencia de señales y sistemas 7. Muestreo 8. Sistemas de comunicación 9. La transformada de Laplace 10. La transformada z 11. Sistemas lineales retroalimentados.



Continuous And Discrete Signals And Systems


Continuous And Discrete Signals And Systems
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Author : Samir S. Soliman
language : en
Publisher: Pearson
Release Date : 1998

Continuous And Discrete Signals And Systems written by Samir S. Soliman and has been published by Pearson this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Technology & Engineering categories.


Appropriate for courses in Signals and Systems, and Transform Theory. This introductory text assists students in developing the ability to understand and analyze both continuous and discrete-time systems. The authors present the most widely used techniques of signal and system analysis in a highly readable and understandable fashion.



Signals And Systems Edition 5 0


Signals And Systems Edition 5 0
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Author : Michael D. Adams
language : en
Publisher: Michael Adams
Release Date : 2022-12-31

Signals And Systems Edition 5 0 written by Michael D. Adams and has been published by Michael Adams this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-31 with Technology & Engineering categories.


This book is intended for use in teaching undergraduate courses on continuous-time and/or discrete-time signals and systems in engineering (and related) disciplines. It provides a detailed introduction to continuous-time and discrete-time signals and systems, with a focus on both theory and applications. The mathematics underlying signals and systems is presented, including topics such as: signal properties, elementary signals, system properties, continuous-time and discrete-time linear time-invariant systems, convolution, continuous-time and discrete-time Fourier series, the continuous-time and discrete-time Fourier transforms, frequency spectra, and the bilateral and unilateral Laplace and z transforms. Applications of the theory are also explored, including: filtering, equalization, amplitude modulation, sampling, feedback control systems, circuit analysis, Laplace-domain techniques for solving differential equations, and z-domain techniques for solving difference equations. Other supplemental material is also included, such as: a detailed introduction to MATLAB, a review of complex analysis, an introduction to partial fraction expansions, an exploration of time-domain techniques for solving differential equations, and information on online video-lecture content for material covered in the book. Throughout the book, many worked-through examples are provided. Problem sets are also provided for each major topic covered.



Signals And Systems


Signals And Systems
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Author : Bernd Girod
language : en
Publisher: John Wiley & Sons
Release Date : 2001-06-08

Signals And Systems written by Bernd Girod and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-06-08 with Science categories.


This book provides a comprehensive, modern approach to signals and systems, concentrating on those aspects that are most relevant for applications such as communication systems and signal processing. Emphasis is placed on building the reader's intuition and problem-solving ability, rather than formal theorems and proofs. "The coverage of the book is comprehensive, providing a broad overview, using a whole host of exercises. The wealth of the worked examples and problems complemented by solutions is particularly attractive. The level of mathematics is not too daunting for the good average student and the authors do their utmost to mitigate the difficulties, skilfully using worked examples." Prof. Lajos Hanzo, University of Southampton author of Mobile Radio Communications and Single-and Multi-carrier QAM Check out the companion Website for 'Systool' simulation software using Java applets to animate many of the key examples and exercises from the book.



Fractional Order Modeling Of Dynamic Systems With Applications In Optimization Signal Processing And Control


Fractional Order Modeling Of Dynamic Systems With Applications In Optimization Signal Processing And Control
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Author : Ahmed G. Radwan
language : en
Publisher: Academic Press
Release Date : 2021-10-22

Fractional Order Modeling Of Dynamic Systems With Applications In Optimization Signal Processing And Control written by Ahmed G. Radwan and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-22 with Technology & Engineering categories.


Fractional-order Modelling of Dynamic Systems with Applications in Optimization, Signal Processing and Control introduces applications from a design perspective, helping readers plan and design their own applications. The book includes the different techniques employed to design fractional-order systems/devices comprehensively and straightforwardly. Furthermore, mathematics is available in the literature on how to solve fractional-order calculus for system applications. This book introduces the mathematics that has been employed explicitly for fractional-order systems. It will prove an excellent material for students and scholars who want to quickly understand the field of fractional-order systems and contribute to its different domains and applications. Fractional-order systems are believed to play an essential role in our day-to-day activities. Therefore, several researchers around the globe endeavor to work in the different domains of fractional-order systems. The efforts include developing the mathematics to solve fractional-order calculus/systems and to achieve the feasible designs for various applications of fractional-order systems. Presents a simple and comprehensive understanding of the field of fractional-order systems Offers practical knowledge on the design of fractional-order systems for different applications Exposes users to possible new applications for fractional-order systems



Fractional Order Processes


Fractional Order Processes
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Author : Seshu Kumar Damarla
language : en
Publisher: CRC Press
Release Date : 2018-09-03

Fractional Order Processes written by Seshu Kumar Damarla and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-03 with Mathematics categories.


The book presents efficient numerical methods for simulation and analysis of physical processes exhibiting fractional order (FO) dynamics. The book introduces FO system identification method to estimate parameters of a mathematical model under consideration from experimental or simulated data. A simple tuning technique, which aims to produce a robust FO PID controller exhibiting iso-damping property during re-parameterization of a plant, is devised in the book. A new numerical method to find an equivalent finite dimensional integer order system for an infinite dimensional FO system is developed in the book. The book also introduces a numerical method to solve FO optimal control problems. Key features Proposes generalized triangular function operational matrices. Shows significant applications of triangular orthogonal functions as well as triangular strip operational matrices in simulation, identification and control of fractional order processes. Provides numerical methods for simulation of physical problems involving different types of weakly singular integral equations, Abel’s integral equation, fractional order integro-differential equations, fractional order differential and differential-algebraic equations, and fractional order partial differential equations. Suggests alternative way to do numerical computation of fractional order signals and systems and control. Provides source codes developed in MATLAB for each chapter, allowing the interested reader to take advantage of these codes for broadening and enhancing the scope of the book itself and developing new results.