Signal Processing with Fractals: A Wavelet-based ApproachFractal 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. |
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Contents
Preface | 1 |
Wavelet Transformations | 8 |
Statistically SelfSimilar Signals | 30 |
Copyright | |
8 other sections not shown
Common terms and phrases
1/f processes according algorithms analysis applications approximation associated bandwidth bases behavior bound channel chapter characteristic characterized consequence consider construct convenient correlation corresponding defined definition derived described detection developed discrete-time discussed effect efficient energy error estimation example exploit expressed fact Figure filter finite Fourier transform fractal fractal modulation fractional Brownian motion frequency function Gaussian noise given Hence homogeneous function homogeneous signals ideal bandpass identity implementation important impulse integer interest interpreted involving leads length linear models modulation multiresolution natural noise Note observations obtained optimal orthonormal wavelet output parameter particular performance practical problem properties random receiver relation representations respectively response sample satisfies scale scale-invariant self-similar sequence Signal Processing Specifically spectral spectrum stationary stationary white statistically sufficient synthesis theorem theory transform transmitted values variance waveform wavelet basis wavelet coefficients wavelet transform
Bibliographic information
| Title | Signal Processing with Fractals: A Wavelet-based Approach Prentice-Hall signal processing series, ISSN 1050-2769 |
| Authors | Gregory W. Wornell, Gregory Wornell |
| Edition | illustrated |
| Publisher | Prentice Hall PTR, 1996 |
| Original from | the University of Michigan |
| Digitized | Dec 7, 2007 |
| ISBN | 013120999X, 9780131209992 |
| Length | 177 pages |
| Subjects | › Technology & Engineering / General |
| Export Citation | BiBTeX EndNote RefMan |