Macroscopic 1/f behavior of fractal signals generated by additive substitution

IEEE Transactions on Information Theory

Volumn 46, Issue 6, 2000, Pages 2261-2268

  Alieva, Tatiana ^a,b   Barbé, André ^a,b  

^a IEEE   (Belgium)

^b Katholieke Universiteit Leuven   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

DETERMINISTIC FRACTAL SIGNALS; DISCRETE FOURIER TRANSFORMS (DFT);

FOURIER TRANSFORMS; FRACTALS; ITERATIVE METHODS; SPECTRUM ANALYSIS;

DIGITAL SIGNAL PROCESSING;

EID: 0034270569     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.868502     Document Type: Article

References (11)

1. A. Barbé, On a class of fractal matrices (I): Excess-matrices and their self-similar properties," Int. J. Bifurcation and Chaos, vol. 2, no. 4, pp. 841-860, Dec. 1992.
2. _, On a class of fractal matrices: II. Distribution and scale dependent fractal dimensions of integer sets in excess-matrices and their disguises," Int. J. Bifurcation and Chaos, vol. 3, no. 5, pp. 1195-1223, Oct. 1993.
3. On a class of fractal matrices: III. limit structures and hierarchical iterated function systems," Int. J. Bifurcation and Chaos, vol. 5, no. 4, pp. 1119-1156, Aug. 1995.
4. M. F. Barnsley, Fractals Everywhere. New York: Academic, 1988.
5. J. M. Blackledge, On the synthesis and processing of fractal signals and images," in Applications of Fractals and Chaos, A. J. Crilly, A. J. Earnshaw, and H. Jones, Eds. Berlin, Germany: Springer-Verlag, 1993, pp. 81-99.
6. W. L. Brigg and V. E. Henson, The DFT: An Owner's Manual for the Discrete Fourier Transform. Philadelphia, PA: SIAM, 1995.
7. J. Feder, Fractals. New York: Plenum, 1988.
8. B. B. Mandelbrot and J. W. Van Ness, Fractional Brownian motions, fractional noises and applications," SIAM Rev., vol. 10, pp. 422-437, 1968.
9. H.-O. Peitgen, H.Jürgens, and D. Saupe, Chaos and Fractals: New Frontiers of Science. New York: Springer-Verlag, 1992.
10. G. W. Wornell and A. V Oppenheim, Wavelet-based representations for a class of self-similar signals with application to fractal modulation," IEEE Trans. Inform. Theory, vol. 38, pp. 785-880, Mar. 1992.
11. G. W. Wornell, Signal Processing with Fractals: A Wavelet-Based Approach. Upper Saddle River, NJ: Prentice-Hall PTR, 1996.