Title :
Fractal renewal processes
Author :
Lowen, S.B. ; Teich, M.C.
Author_Institution :
Dept. of Electr. Eng., Columbia Univ., New York, NY, USA
fDate :
9/1/1993 12:00:00 AM
Abstract :
Two relatively simple renewal processes whose power spectral densities vary as 1/fD are constructed: 1) a standard renewal point process, with 0<D<1; and 2) a finite-valued alternating renewal process, with 0<D<2. The resulting event number statistics, coincidence rates, minimal coverings, and autocorrelation functions are shown also to follow power-law forms. These fractal characteristics derive from interevent-time probability density functions which themselves decay in a power-law fashion
Keywords :
fractals; information theory; probability; random noise; statistical analysis; 1/f noise; autocorrelation functions; coincidence rates; event number statistics; finite-valued alternating renewal process; fractal renewal processes; interevent-time probability density functions; minimal coverings; power spectral densities; power-law form; standard renewal point process; Computer applications; Computer errors; Decoding; Error correction codes; Fractals; Gaussian noise; Noise generators; Notice of Violation; Statistics; Tail;
Journal_Title :
Information Theory, IEEE Transactions on
