Title : 
New methods for the synthesis of set theoretic estimates [digital signal processing]
         
        
            Author : 
Combettes, Patrick ; Trussell, H.
         
        
            Author_Institution : 
Dept. of Electr. & Comput. Eng., North Carolina State Univ., Raleigh, NC, USA
         
        
        
        
        
            Abstract : 
Two methods for the synthesis of set theoretic estimates are presented. The first is a generalization of the method of successive projections onto closed and convex subsets of Hilbert spaces to approximately compact subsets of metric spaces. The second is based on a stochastic search in the solution space. These methods allow greater flexibility with regard to the incorporation of prior knowledge, thereby extending the scope of set theoretic estimation. Applications to digital signal processing problems are discussed
         
        
            Keywords : 
set theory; signal processing; Hilbert spaces; digital signal processing; method of successive projections; metric spaces; set theoretic estimation; solution space; stochastic search; subsets; synthesis methods; Digital signal processing; Entropy; Estimation theory; Extraterrestrial measurements; Hilbert space; Maximum likelihood estimation; Minimax techniques; Signal synthesis; State estimation; Stochastic processes;
         
        
        
        
            Conference_Titel : 
Acoustics, Speech, and Signal Processing, 1990. ICASSP-90., 1990 International Conference on
         
        
            Conference_Location : 
Albuquerque, NM
         
        
        
        
            DOI : 
10.1109/ICASSP.1990.116116