Ex parte GIROD et al. - Page 2




          Appeal No. 1997-2474                                       Page 2           
          Application No. 08/125,590                                                  


          September 11, 1995, which was denied entry.  We affirm-in-                  
          part.                                                                       





                                     BACKGROUND                                       
               The invention at issue implements a Discrete Cosine                    
          Transform (DCT) and an Inverse Discrete Cosine Transform                    
          (IDCT) in software.  DCTs and IDCTs are used in the field of                
          image processing to represent signals in a compact format.                  
          Because of the demands that arithmetic operations,                          
          particularly multiplication operations, place on a computer,                
          conventional software implementations of DCTs and IDCTs have                
          been slower than hardware implementations.                                  


               The invention exploits symmetries of the DCT and IDCT to               
          improve the speed at which software can process signals using               
          the Transforms.  Based on the symmetries, the DCT and IDCT are              
          performed using a combination of look-up tables and butterfly               
          operations, thus employing only a few additions and                         
          subtractions and no multiplications.                                        







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