Title : 
A maximum a posteriori approach to the restoration of randomly distorted signals
         
        
            Author : 
Guan, Ling ; Ward, Rabab K.
         
        
            Author_Institution : 
Dept. of Electr. Eng., British Columbia Univ., Vancouver, BC, Canada
         
        
        
        
        
            Abstract : 
A maximum a posterior (MAP) approach to the restoration of randomly distorted signals is introduced. Since random distortion is due to the uncertainty in the impulse response of the physical system, it cannot be modelled as additive. The theoretical derivation of the MAP filter shows that it is necessary to solve a nonlinear optimization problem. The performance of the method is compared to that of a modified Wiener filter, and a numerical example shows that the MAP filter outperforms the modified Wiener filter
         
        
            Keywords : 
filtering and prediction theory; optimisation; signal processing; MAP filter; impulse response; modified Wiener filter; nonlinear optimization problem; physical system; randomly distorted signals restoration; uncertainty; Additive noise; Atmosphere; Dispersion; Fluctuations; Nonlinear distortion; Signal processing; Signal restoration; Uncertainty; Underwater communication; Wiener filter;
         
        
        
        
            Conference_Titel : 
Acoustics, Speech, and Signal Processing, 1988. ICASSP-88., 1988 International Conference on
         
        
            Conference_Location : 
New York, NY
         
        
        
        
            DOI : 
10.1109/ICASSP.1988.196962