Signal Processing With Fractals

Author : Gregory W. Wornell,Gregory Wornell
Publisher : Prentice Hall
Page : 200 pages
File Size : 49,6 Mb
Release : 1996
Category : Mathematics
ISBN : UOM:39015034528383

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Signal Processing with Fractals by Gregory W. Wornell,Gregory Wornell Pdf

Fractal geometry and recent developments in wavelet theory are having an important impact on the field of signal processing. Efficient representations for fractal signals based on wavelets are opening up new applications for signal processing, and providing better solutions to problems in existing applications. Signal Processing with Fractals provides a valuable introduction to this new and exciting area, and develops a powerful conceptual foundation for understanding the topic. Practical techniques for synthesizing, analyzing, and processing fractal signals for a wide range of applications are developed in detail, and novel applications in communications are explored.

Author : Jacques Levy Vehel,Evelyne Lutton,Claude Tricot
Publisher : Springer Science & Business Media
Page : 408 pages
File Size : 54,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781447109952

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Fractals in Engineering by Jacques Levy Vehel,Evelyne Lutton,Claude Tricot Pdf

Fractal analysis research is expanding into a variety of engineering domains. The strong potential of this work is now beginning to be seen in important applications in real industrial situations. Recent research progress has already led to new developments in domains such as signal processing and chemical engineering, and the major advances in fractal theory that underlie such developments are detailed here. New domains of applications are also presented, among them environmental science and rough surface analysis. Sections include multifractal analysis, iterated function systems, random processes, network traffic analysis, fractals and waves, image compression, and applications in physics. Fractals in Engineering emphasizes the connection between fractal analysis research and applications to industry. It is an important volume that illustrates the scientific and industrial value of this exciting field.

Author : Santo Banerjee,D. Easwaramoorthy,A. Gowrisankar
Publisher : Springer Nature
Page : 132 pages
File Size : 49,6 Mb
Release : 2020-12-14
Category : Science
ISBN : 9783030626723

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Fractal Functions, Dimensions and Signal Analysis by Santo Banerjee,D. Easwaramoorthy,A. Gowrisankar Pdf

This book introduces the fractal interpolation functions (FIFs) in approximation theory to the readers and the concerned researchers in advanced level. FIFs can be used to precisely reconstruct the naturally occurring functions when compared with the classical interpolants. The book focuses on the construction of fractals in metric space through various iterated function systems. It begins by providing the Mathematical background behind the fractal interpolation functions with its graphical representations and then introduces the fractional integral and fractional derivative on fractal functions in various scenarios. Further, the existence of the fractal interpolation function with the countable iterated function system is demonstrated by taking suitable monotone and bounded sequences. It also covers the dimension of fractal functions and investigates the relationship between the fractal dimension and the fractional order of fractal interpolation functions. Moreover, this book explores the idea of fractal interpolation in the reconstruction scheme of illustrative waveforms and discusses the problems of identification of the characterizing parameters. In the application section, this research compendium addresses the signal processing and its Mathematical methodologies. A wavelet-based denoising method for the recovery of electroencephalogram (EEG) signals contaminated by nonstationary noises is presented, and the author investigates the recognition of healthy, epileptic EEG and cardiac ECG signals using multifractal measures. This book is intended for professionals in the field of Mathematics, Physics and Computer Science, helping them broaden their understanding of fractal functions and dimensions, while also providing the illustrative experimental applications for researchers in biomedicine and neuroscience.

Author : Anis Kharisovich Gil’mutdinov,Pyotr Arkhipovich Ushakov,Reyad El-Khazali
Publisher : Springer
Page : 252 pages
File Size : 51,8 Mb
Release : 2017-02-08
Category : Technology & Engineering
ISBN : 9783319452494

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Fractal Elements and their Applications by Anis Kharisovich Gil’mutdinov,Pyotr Arkhipovich Ushakov,Reyad El-Khazali Pdf

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.

Author : Anonim
Publisher : Unknown
Page : 214 pages
File Size : 45,8 Mb
Release : 2004
Category : Fractals
ISBN : 0511195087

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Fractal Speech Processing by Anonim Pdf

Author : Palle E. T. Jorgensen
Publisher : Springer Science & Business Media
Page : 320 pages
File Size : 48,9 Mb
Release : 2007-10-17
Category : Mathematics
ISBN : 9780387330822

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Analysis and Probability by Palle E. T. Jorgensen Pdf

Combines analysis and tools from probability, harmonic analysis, operator theory, and engineering (signal/image processing) Interdisciplinary focus with hands-on approach, generous motivation and new pedagogical techniques Numerous exercises reinforce fundamental concepts and hone computational skills Separate sections explain engineering terms to mathematicians and operator theory to engineers Fills a gap in the literature

Author : Marwan Al-Akaidi
Publisher : Cambridge University Press
Page : 0 pages
File Size : 41,6 Mb
Release : 2004-05-20
Category : Technology & Engineering
ISBN : 0521814588

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Fractal Speech Processing by Marwan Al-Akaidi Pdf

This volume offers the results of research carried out to develop novel fractal-based techniques for the analysis of speech and audio signals. A great deal of this work is currently finding its way into practical commercial applications with Nokia Communications and other key organizations. After an introduction to speech processing and fractal geometry, fractal techniques are described in detail with numerous applications and examples. A final chapter summarizes the advantages and potential of the new techniques.

Author : Dinesh Kumar,Sridhar P. Arjunan,Behzad Aliahmad
Publisher : CRC Press
Page : 134 pages
File Size : 45,8 Mb
Release : 2017-02-03
Category : Mathematics
ISBN : 9781351678384

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Fractals by Dinesh Kumar,Sridhar P. Arjunan,Behzad Aliahmad Pdf

The book provides an insight into the advantages and limitations of the use of fractals in biomedical data. It begins with a brief introduction to the concept of fractals and other associated measures and describes applications for biomedical signals and images. Properties of biological data in relations to fractals and entropy, and the association with health and ageing are also covered. The book provides a detailed description of new techniques on physiological signals and images based on the fractal and chaos theory. The aim of this book is to serve as a comprehensive guide for researchers and readers interested in biomedical signal and image processing and feature extraction for disease risk analyses and rehabilitation applications. While it provides the mathematical rigor for those readers interested in such details, it also describes the topic intuitively such that it is suitable for audience who are interested in applying the methods to healthcare and clinical applications. The book is the outcome of years of research by the authors and is comprehensive and includes other reported outcomes.

Author : VIJAY MADISETTI
Publisher : CRC Press
Page : 1792 pages
File Size : 45,9 Mb
Release : 1997-12-29
Category : Technology & Engineering
ISBN : 0849385725

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The Digital Signal Processing Handbook by VIJAY MADISETTI Pdf

The field of digital signal processing (DSP) has spurred developments from basic theory of discrete-time signals and processing tools to diverse applications in telecommunications, speech and acoustics, radar, and video. This volume provides an accessible reference, offering theoretical and practical information to the audience of DSP users. This immense compilation outlines both introductory and specialized aspects of information-bearing signals in digital form, creating a resource relevant to the expanding needs of the engineering community. It also explores the use of computers and special-purpose digital hardware in extracting information or transforming signals in advantageous ways. Impacted areas presented include: Telecommunications Computer engineering Acoustics Seismic data analysis DSP software and hardware Image and video processing Remote sensing Multimedia applications Medical technology Radar and sonar applications This authoritative collaboration, written by the foremost researchers and practitioners in their fields, comprehensively presents the range of DSP: from theory to application, from algorithms to hardware.

Author : Anis Kharisovich Gil'mutdinov,Pyotr Arkhipovich Ushakov,Reyad El-Khazali
Publisher : Unknown
Page : 252 pages
File Size : 52,9 Mb
Release : 2017
Category : Electronics
ISBN : 3319452509

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Fractal Elements and Their Applications by Anis Kharisovich Gil'mutdinov,Pyotr Arkhipovich Ushakov,Reyad El-Khazali Pdf

Author : Jonathan M Blackledge
Publisher : Elsevier
Page : 840 pages
File Size : 40,6 Mb
Release : 2006-03-01
Category : Technology & Engineering
ISBN : 9780857099457

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Digital Signal Processing by Jonathan M Blackledge Pdf

This book forms the first part of a complete MSc course in an area that is fundamental to the continuing revolution in information technology and communication systems. Massively exhaustive, authoritative, comprehensive and reinforced with software, this is an introduction to modern methods in the developing field of Digital Signal Processing (DSP). The focus is on the design of algorithms and the processing of digital signals in areas of communications and control, providing the reader with a comprehensive introduction to the underlying principles and mathematical models. Provides an introduction to modern methods in the developing field of Digital Signal Processing (DSP) Focuses on the design of algorithms and the processing of digital signals in areas of communications and control Provides a comprehensive introduction to the underlying principles and mathematical models of Digital Signal Processing

Author : Anonim
Publisher : Unknown
Page : 214 pages
File Size : 45,8 Mb
Release : 2004
Category : Fractals
ISBN : 0511193653

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Fractal Speech Processing by Anonim Pdf

Author : E. Chandrasekhar,V. P. Dimri,V. M. Gadre
Publisher : Taylor & Francis
Page : 306 pages
File Size : 40,6 Mb
Release : 2013-11-20
Category : Science
ISBN : 9781466553606

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Wavelets and Fractals in Earth System Sciences by E. Chandrasekhar,V. P. Dimri,V. M. Gadre Pdf

The subject of wavelet analysis and fractal analysis is fast developing and has drawn a great deal of attention in varied disciplines of science and engineering. Over the past couple of decades, wavelets, multiresolution, and multifractal analyses have been formalized into a thorough mathematical framework and have found a variety of applications w

Author : Vijay Madisetti
Publisher : CRC Press
Page : 874 pages
File Size : 42,9 Mb
Release : 2018-09-03
Category : Technology & Engineering
ISBN : 9781420046052

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Wireless, Networking, Radar, Sensor Array Processing, and Nonlinear Signal Processing by Vijay Madisetti Pdf

Now available in a three-volume set, this updated and expanded edition of the bestselling The Digital Signal Processing Handbook continues to provide the engineering community with authoritative coverage of the fundamental and specialized aspects of information-bearing signals in digital form. Encompassing essential background material, technical details, standards, and software, the second edition reflects cutting-edge information on signal processing algorithms and protocols related to speech, audio, multimedia, and video processing technology associated with standards ranging from WiMax to MP3 audio, low-power/high-performance DSPs, color image processing, and chips on video. Drawing on the experience of leading engineers, researchers, and scholars, the three-volume set contains 29 new chapters that address multimedia and Internet technologies, tomography, radar systems, architecture, standards, and future applications in speech, acoustics, video, radar, and telecommunications. This volume, Wireless, Networking, Radar, Sensor Array Processing, and Nonlinear Signal Processing, provides complete coverage of the foundations of signal processing related to wireless, radar, space–time coding, and mobile communications, together with associated applications to networking, storage, and communications.

Author : Jianbo Gao,Yinhe Cao,Wen-wen Tung,Jing Hu
Publisher : John Wiley & Sons
Page : 368 pages
File Size : 46,5 Mb
Release : 2007-12-04
Category : Mathematics
ISBN : 9780470191644

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Multiscale Analysis of Complex Time Series by Jianbo Gao,Yinhe Cao,Wen-wen Tung,Jing Hu Pdf

The only integrative approach to chaos and random fractal theory Chaos and random fractal theory are two of the most important theories developed for data analysis. Until now, there has been no single book that encompasses all of the basic concepts necessary for researchers to fully understand the ever-expanding literature and apply novel methods to effectively solve their signal processing problems. Multiscale Analysis of Complex Time Series fills this pressing need by presenting chaos and random fractal theory in a unified manner. Adopting a data-driven approach, the book covers: DNA sequence analysis EEG analysis Heart rate variability analysis Neural information processing Network traffic modeling Economic time series analysis And more Additionally, the book illustrates almost every concept presented through applications and a dedicated Web site is available with source codes written in various languages, including Java, Fortran, C, and MATLAB, together with some simulated and experimental data. The only modern treatment of signal processing with chaos and random fractals unified, this is an essential book for researchers and graduate students in electrical engineering, computer science, bioengineering, and many other fields.