Title : 
New algorithms for best local cosine basis search
         
        
            Author : 
Huang, Y. ; Pollak, I. ; Bouman, C.A. ; Do, M.N.
         
        
            Author_Institution : 
Sch. of Electr. & Comput. Eng., Purdue Univ., West Lafayette, IN, USA
         
        
        
        
        
            Abstract : 
We propose a best basis search algorithm for local cosine dictionaries. We improve upon the classical best local cosine basis selection based on a dyadic tree (Coifman, R.R. and Wickerhauser, M.V., IEEE Trans. Inf. Th., vol.38, no.2, p.713-18, 1992), by considering a larger dictionary of bases. This results in more compact representations, lower costs, and approximate shift-invariance. We also provide a version of our algorithm which is strictly shift-invariant.
         
        
            Keywords : 
approximation theory; signal representation; tree searching; trees (mathematics); adaptive approximation; adaptive signal representation; best basis search algorithm; best local cosine basis selection; dyadic tree; local cosine dictionaries; shift-invariance; Costs; Dictionaries; Dynamic programming; Engineering profession; Entropy; Heuristic algorithms; Libraries; Signal representations; Time frequency analysis; Wavelet packets;
         
        
        
        
            Conference_Titel : 
Acoustics, Speech, and Signal Processing, 2004. Proceedings. (ICASSP '04). IEEE International Conference on
         
        
        
            Print_ISBN : 
0-7803-8484-9
         
        
        
            DOI : 
10.1109/ICASSP.2004.1326372