Fractal characters of 1/2-order integration of white noise and 1/f resistance fluctuation

Four different types of 1/f time series are generated by computer simulatio ns and the analyses of their fractal characteristics are carried out. The n umerical evaluation shows that the differences in the generation mechanism results in a 1/f time series having different fractal structures. The 1/f r esistance fluctuation of a carbon fiber is observed and its fractal propert y is analyzed in comparison with that of computer-generated 1/f fluctuation s. It is found that the fractal property of the resistance fluctuation is t he same as that of the fluctuation generated by 1/2-order integration of wh ile noise.