Title :
Generation and Relation of Quaternary and Binary Linearly Independent Transforms
Author :
Falkowski, Bogdan J. ; Fu, Cheng
Author_Institution :
Nanyang Technological University, Singapore
Abstract :
New classes of quaternary linearly independent transforms related to the bases of linearly independent transforms over Galois Field (2) are introduced here. Recursive equations defining the quaternary matrices and the corresponding butterfly diagrams are shown. Various properties and relations between introduced classes of new transforms are discussed. Experimental results for presented transforms are also shown and compared with quaternary Reed-Muller transform.
Keywords :
Algebra; Equations; Field programmable gate arrays; Galois fields; Logic circuits; Logic design; Logic functions; Programmable logic arrays; Symmetric matrices; Transforms;
Conference_Titel :
Multiple-Valued Logic, 2006. ISMVL 2006. 36th International Symposium on
Print_ISBN :
0-7695-2532-6
DOI :
10.1109/ISMVL.2006.23
