Signal Processing with Fractals PDF Download

Author: Gregory W. Wornell
Publisher: Prentice Hall
ISBN:
Category : Mathematics
Languages : en
Pages : 200

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Book Description
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: Dinesh Kumar
Publisher: CRC Press
ISBN: 1351678388
Category : Mathematics
Languages : en
Pages : 134

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Book Description
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: Santo Banerjee
Publisher: Springer Nature
ISBN: 3030626725
Category : Science
Languages : en
Pages : 132

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Book Description
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: Palle E. T. Jorgensen
Publisher: Springer Science & Business Media
ISBN: 0387330828
Category : Mathematics
Languages : en
Pages : 320

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Book Description
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
ISBN: 9780521814584
Category : Technology & Engineering
Languages : en
Pages : 0

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Book Description
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: Michael Fielding Barnsley
Publisher: Cambridge University Press
ISBN: 0521844932
Category : Computers
Languages : en
Pages : 464

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Book Description
SuperFractals, first published in 2006, describes mathematics and algorithms for the first time in book form, with breathtaking colour pictures.

Author: Stephane Mallat
Publisher: Elsevier
ISBN: 0080520839
Category : Computers
Languages : en
Pages : 663

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Book Description
This book is intended to serve as an invaluable reference for anyone concerned with the application of wavelets to signal processing. It has evolved from material used to teach "wavelet signal processing" courses in electrical engineering departments at Massachusetts Institute of Technology and Tel Aviv University, as well as applied mathematics departments at the Courant Institute of New York University and ÉcolePolytechnique in Paris. - Provides a broad perspective on the principles and applications of transient signal processing with wavelets - Emphasizes intuitive understanding, while providing the mathematical foundations and description of fast algorithms - Numerous examples of real applications to noise removal, deconvolution, audio and image compression, singularity and edge detection, multifractal analysis, and time-varying frequency measurements - Algorithms and numerical examples are implemented in Wavelab, which is a Matlab toolbox freely available over the Internet - Content is accessible on several level of complexity, depending on the individual reader's needs New to the Second Edition - Optical flow calculation and video compression algorithms - Image models with bounded variation functions - Bayes and Minimax theories for signal estimation - 200 pages rewritten and most illustrations redrawn - More problems and topics for a graduate course in wavelet signal processing, in engineering and applied mathematics

Author: Richard Alan Katz
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 900

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Book Description
Annotation The conference, organized by the Office of Naval Research, Naval Undersea Warfare Center, focused on methods leading toward the solution of practical problems in engineering and the physical sciences, and to that end entertained a few papers on advanced linear techniques despite the title. The areas covered are mathematical frontiers, the predictability and control of chaos, detection and classification, advance applied signal processing methods, stochastic resonance, machine diagnostics, turbulence, geophysics, medicine, and new methods for modeling nonlinear systems. Among the 58 topics are measures of complexity in signal analysis, channel equalization for communication with chaotic signals, the evolution of frequency content in fluid flow noise,, and an oscillatory neural network unit model. No subject index. Annotation c. by Book News, Inc., Portland, Or.

Author: Patrice Abry
Publisher: John Wiley & Sons
ISBN: 1118622901
Category : Mathematics
Languages : en
Pages : 382

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Book Description
Scaling is a mathematical transformation that enlarges or diminishes objects. The technique is used in a variety of areas, including finance and image processing. This book is organized around the notions of scaling phenomena and scale invariance. The various stochastic models commonly used to describe scaling — self-similarity, long-range dependence and multi-fractals — are introduced. These models are compared and related to one another. Next, fractional integration, a mathematical tool closely related to the notion of scale invariance, is discussed, and stochastic processes with prescribed scaling properties (self-similar processes, locally self-similar processes, fractionally filtered processes, iterated function systems) are defined. A number of applications where the scaling paradigm proved fruitful are detailed: image processing, financial and stock market fluctuations, geophysics, scale relativity, and fractal time-space.

Author: Sergio Cerutti
Publisher: John Wiley & Sons
ISBN: 1118007735
Category : Science
Languages : en
Pages : 612

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Book Description
This book grew out of the IEEE-EMBS Summer Schools on Biomedical Signal Processing, which have been held annually since 2002 to provide the participants state-of-the-art knowledge on emerging areas in biomedical engineering. Prominent experts in the areas of biomedical signal processing, biomedical data treatment, medicine, signal processing, system biology, and applied physiology introduce novel techniques and algorithms as well as their clinical or physiological applications. The book provides an overview of a compelling group of advanced biomedical signal processing techniques, such as multisource and multiscale integration of information for physiology and clinical decision; the impact of advanced methods of signal processing in cardiology and neurology; the integration of signal processing methods with a modelling approach; complexity measurement from biomedical signals; higher order analysis in biomedical signals; advanced methods of signal and data processing in genomics and proteomics; and classification and parameter enhancement.