Signal Processing with Fractals: A Wavelet-based ApproachPrentice Hall PTR, 1996 - 177 páginas 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. |
Contenido
Linear SelfSimilar Systems | 7 |
2 | 8 |
Statistically SelfSimilar Signals | 30 |
Derechos de autor | |
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Términos y frases comunes
1/ƒ processes 1/ƒ signal algorithms approximation bandwidth bases basis functions channel chapter characterization Chernoff bound correlation corresponding Cramér-Rao bounds data length defined degree H derived developed discrete wavelet transform discrete-time efficient example exploit filter bank Fourier transform fractal dimension fractal modulation fractional Brownian motion frequency response Gaussian 1/ƒ Gaussian noise H₁ homogeneous signal x(t ideal bandpass wavelet implementation impulse response inner product integer kernel LSI systems Mellin transform multiresolution analysis obtained optimal orthonormal wavelet basis output parameter estimates particular performance power-dominated homogeneous signals problem properties random processes RMS error sample satisfies scale scale-invariant system scenario self-similar self-similar signals sequence q[n signal estimation signal processing spectral exponent stationary white Gaussian synthesis theorem time-invariant variance waveform wavelet basis wavelet coefficients wavelet transform white Gaussian noise white noise whitening filters wide-sense stationary zero-mean тем