Title :
Algorithm and architecture for Gray code ordered fast Walsh transform
Author :
Falkowski, Bogdan J. ; Perkowski, Marek A.
Author_Institution :
Dept. of Electr. Eng., Portland State Univ., OR, USA
Abstract :
The generation of two new Walsh transforms in Gray code orderings from the straight binary code is shown. A recursive algorithm for Gray-code-ordered Walsh transforms is based on a novel operator called the bisymmetrical pseudo Kronecker product. The recursive algorithm is the basis for the flow diagram of a constant geometry fast Walsh transform in Gray code ordering. The algorithm is fast (N log 2 N additions/subtractions), is computer efficient, and is implemented in the iterative architecture
Keywords :
iterative methods; signal processing; transforms; Gray code orderings; bisymmetrical pseudo Kronecker product; computer efficient; fast Walsh transform; iterative architecture; recursive algorithm; straight binary code; Application software; Binary codes; Computer architecture; Digital communication; Digital images; Geometry; Image analysis; Iterative algorithms; Reflective binary codes; Signal generators;
Conference_Titel :
Circuits and Systems, 1990., IEEE International Symposium on
Conference_Location :
New Orleans, LA
DOI :
10.1109/ISCAS.1990.112441
