Title :
Multiscale synthesis and analysis of fractal renewal processes
Author :
Lam, Warren M. ; Wornell, Gregory W.
Author_Institution :
Res. Lab. of Electron., MIT, Cambridge, MA, USA
Abstract :
A novel multiscale framework is introduced for the representation of a class of fractal point processes. Using this framework, efficient algorithms are developed for the synthesis of fractal point processes from a mixture of Poisson processes. Multiscale analysis algorithms are also developed within this framework for computing Maximum-Likelihood fractal dimension estimates of such processes from corrupted observations
Keywords :
fractals; maximum likelihood estimation; parameter estimation; stochastic processes; Poisson processes; corrupted observations; fractal point processes; fractal renewal processes; maximum likelihood fractal dimension estimates; multiscale analysis algorithms; multiscale synthesis; parameter estimation; Algorithm design and analysis; Fractals; Laboratories; Maximum likelihood estimation; Multidimensional systems; Planets; Signal processing; Signal processing algorithms; Signal synthesis; Terminology;
Conference_Titel :
Digital Signal Processing Workshop, 1994., 1994 Sixth IEEE
Conference_Location :
Yosemite National Park, CA
Print_ISBN :
0-7803-1948-6
DOI :
10.1109/DSP.1994.379874
