[OPTICAL REVIEW Vol. 1, No. 1 (1994) 51-54]

Bispectrum Analysis of One-Dimensional Regular Fractals with Additive Random Noise

Naoya WADA, Jun UOZUMI and Toshimitsu ASAKURA

Research Institute for Electronic Science, Hokkaido University, Sapporo, Hokkaido, 060 Japan

(Accepted July 22, 1994)

The bispectrum of the Cantor set that is a typical regular fractal is calculated and its fractalities are shown. A relation between the bispectrum and the fractal dimension of the object is elucidated. Effects of additive random noise on the scaling property of the bispectrum are compared with those of the corresponding power spectrum.

Key words : bispectrum, power spectrum, fractal, Cantor set, random noise, band-average, power law