Title : 
New characterizations of 2D discrete cosine transform
         
        
        
            Author_Institution : 
Dept. of Comput. Sci., Alaska Univ., Fairbanks, AK, USA
         
        
        
        
        
        
        
            Abstract : 
We introduce a function to specify the transform coefficients. We state, prove, and apply useful rules. Our combination of two algorithms is unique. We describe an implementation for an 8×8 DCT that performs a total of 1,424 operations at a rate of 178 operations per clock cycle, which is approximately twice as fast as a unified algorithm on a serial-parallel architecture.
         
        
            Keywords : 
discrete cosine transforms; matrix algebra; multiprocessing systems; 2D discrete cosine transform; discrete mathematics; matrix algebra; multiprocessor system; transform coefficient specification function; Clocks; Computer architecture; Digital signal processing; Discrete cosine transforms; Discrete transforms; Helium; Inspection; Mathematics; Multiprocessing systems; Signal processing algorithms; Index Terms- Application studies; discrete mathematics; multiprocessor systems.;
         
        
        
            Journal_Title : 
Computers, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TC.2005.149