Title : 
Filtered fractals in signal modeling
         
        
            Author : 
Deriche, M. ; Tewfik, Ahmed H.
         
        
            Author_Institution : 
Signal Processing Res. Center, Queensland Univ. of Technol., Brisbane, Australia
         
        
        
        
        
            Abstract : 
Filtered versions of fractionally differenced Gaussian noise (FDGN) processes are studied. Fractionally differenced Gaussian noise is a discrete-time equivalent of fractional Brownian motion. Filtered versions of such processes are ideally suited for modeling signals with both short-term and long-term correlation structures. Two iterative algorithms for estimating the parameters of filtered FDGN processes are described
         
        
            Keywords : 
Gaussian noise; correlation theory; filtering theory; fractals; iterative methods; correlation structures; discrete-time equivalent; filtered FDGN processes; fractional Brownian motion; fractionally differenced Gaussian noise; iterative algorithms; signal modeling; 1f noise; Autoregressive processes; Computer vision; Filters; Footwear; Fractals; Image processing; Maximum likelihood estimation; Parameter estimation; Signal processing;
         
        
        
        
            Conference_Titel : 
Circuits and Systems, 1993., ISCAS '93, 1993 IEEE International Symposium on
         
        
            Conference_Location : 
Chicago, IL
         
        
            Print_ISBN : 
0-7803-1281-3
         
        
        
            DOI : 
10.1109/ISCAS.1993.393772