Download or read book Signal Processing with Fractals written by Gregory W. Wornell and published by Prentice Hall. This book was released on 1996 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Fractal Functions Dimensions and Signal Analysis written by Santo Banerjee and published by Springer Nature. This book was released on 2020-12-14 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Fractals written by Dinesh Kumar and published by CRC Press. This book was released on 2017-02-03 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Fractal Speech Processing written by Marwan Al-Akaidi and published by Cambridge University Press. This book was released on 2004-05-20 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Analysis and Probability written by Palle E. T. Jorgensen and published by Springer Science & Business Media. This book was released on 2007-10-17 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Fractal Elements and their Applications written by Anis Kharisovich Gil’mutdinov and published by Springer. This book was released on 2017-02-08 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Fractals in Engineering written by Jacques Levy Vehel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Fractal Speech Processing written by and published by . This book was released on 2004 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fractal Elements and Their Applications written by Anis Kharisovich Gil'mutdinov and published by . This book was released on 2017 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Wavelets and Fractals in Earth System Sciences written by E. Chandrasekhar and published by Taylor & Francis. This book was released on 2013-11-20 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Digital Signal Processing written by Jonathan M Blackledge and published by Elsevier. This book was released on 2006-03-01 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Fractal Speech Processing written by and published by . This book was released on 2004 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fractals in Engineering written by Jacques Lévy-Véhel and published by Springer Science & Business Media. This book was released on 2005-12-06 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The application of fractals in the engineering sciences is evolving swiftly and the editors have turned to Springer for the third time to bring you the latest research emerging from the rapid growth in techniques available for the employment of the ideas of fractals and complexity to a variety of disciplines in and associated with the engineering field. The strong potential of this research can be seen in real industrial situations with recent progress being made in areas such as chemical engineering, internet traffic, physics and finance. Image processing continues to be a major field of application for fractal analysis and is well-represented here. It is important to note that the applications models are presented with a firm basis in theoretical argument, the qualitative observation of fractal phenomena no longer being sufficient. Consisting of papers written by a world-wide pool of experts, the multidisciplinary approach of this third volume will be of particular interest to industrial researchers and practitioners as well as to academics from many backgrounds. Fractals in Engineering: New Trends in Theory and Applications continues the publication of engineering-related research in fractal techniques begun in Fractals in Engineering and Fractals: Theory and Applications in Engineering (Springer London 1997 and 1999).
Download or read book Musical Signal Processing written by Curtis Roads and published by Routledge. This book was released on 2013-12-19 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: Compiled by an international array of musical and technical specialists, this book deals with some of the most important topics in modern musical signal processing. Beginning with basic concepts, and leading to advanced applications, it covers such essential areas as sound synthesis (including detailed studies of physical modelling and granular synthesis) ,control signal synthesis, sound transformation (including convolution), analysis/resynthesis (phase vocodor, wavelets, analysis by chaotic functions), object-oriented and artificial intelligence representations, musical interfaces and the integration of signal processing techniques in concert performance.
Download or read book SuperFractals written by Michael Fielding Barnsley and published by Cambridge University Press. This book was released on 2006-09-07 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: SuperFractals, first published in 2006, describes mathematics and algorithms for the first time in book form, with breathtaking colour pictures.
Download or read book Multiscale Analysis of Complex Time Series written by Jianbo Gao and published by John Wiley & Sons. This book was released on 2007-12-04 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Circuits Signals and Systems for Bioengineers written by John Semmlow and published by Academic Press. This book was released on 2017-12-07 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: Circuits, Signals and Systems for Bioengineers: A MATLAB-Based Introduction, Third Edition, guides the reader through the electrical engineering principles that can be applied to biological systems. It details the basic engineering concepts that underlie biomedical systems, medical devices, biocontrol and biomedical signal analysis, providing a solid foundation for students in important bioengineering concepts. Fully revised and updated to better meet the needs of instructors and students, the third edition introduces and develops concepts through computational methods that allow students to explore operations, such as correlations, convolution, the Fourier transform and the transfer function. New chapters have been added on image analysis, noise, stochastic processes and ergodicity, and new medical examples and applications are included throughout the text. Covers current applications in biocontrol, with examples from physiological systems modeling, such as the respiratory system Includes revised material throughout, with improved clarity of presentation and more biological, physiological and medical examples and applications Includes a new chapter on noise, stochastic processes, non-stationary and ergodicity Includes a separate new chapter featuring expanded coverage of image analysis Includes support materials, such as solutions, lecture slides, MATLAB data and functions needed to solve the problems
