Signal Processing with Fractals
Title | Signal Processing with Fractals PDF eBook |
Author | Gregory W. Wornell |
Publisher | Prentice Hall |
Pages | 200 |
Release | 1996 |
Genre | Mathematics |
ISBN |
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.
Analysis and Probability
Title | Analysis and Probability PDF eBook |
Author | Palle E. T. Jorgensen |
Publisher | Springer Science & Business Media |
Pages | 320 |
Release | 2007-10-17 |
Genre | Mathematics |
ISBN | 0387330828 |
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
Fractals
Title | Fractals PDF eBook |
Author | Dinesh Kumar |
Publisher | CRC Press |
Pages | 134 |
Release | 2017-02-03 |
Genre | Mathematics |
ISBN | 1351678388 |
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.
Fractal Speech Processing
Title | Fractal Speech Processing PDF eBook |
Author | Marwan Al-Akaidi |
Publisher | Cambridge University Press |
Pages | 0 |
Release | 2004-05-20 |
Genre | Technology & Engineering |
ISBN | 9780521814584 |
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.
Fractal Elements and their Applications
Title | Fractal Elements and their Applications PDF eBook |
Author | Anis Kharisovich Gil’mutdinov |
Publisher | Springer |
Pages | 260 |
Release | 2017-02-08 |
Genre | Technology & Engineering |
ISBN | 3319452495 |
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.
Signal processing with fractals
Title | Signal processing with fractals PDF eBook |
Author | Gregory Wornell |
Publisher | |
Pages | 177 |
Release | 1996 |
Genre | |
ISBN |
Fractals in Engineering
Title | Fractals in Engineering PDF eBook |
Author | Jacques Levy Vehel |
Publisher | Springer Science & Business Media |
Pages | 408 |
Release | 2012-12-06 |
Genre | Technology & Engineering |
ISBN | 1447109953 |
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.