Title :
Classes of fastest quaternary linearly independent transformations
Author :
Falkowski, Bogdan J. ; Fu, Cheng
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore
Abstract :
In this paper, four classes of quaternary linearly independent transformations, which possess fastest forward and inverse transforms with the lowest computational cost have been presented. All the transform matrices are recursively defined and have consistent formulas relating forward and inverse matrices. Computational costs of the calculation for presented transforms have also been discussed.
Keywords :
Galois fields; matrix inversion; transforms; inverse matrices; inverse transform; matrix transformation; quaternary linearly independent transformation; Algebra; Boolean functions; Computational efficiency; Field programmable gate arrays; Galois fields; Integrated circuit interconnections; Logic design; Multiaccess communication; Programmable logic arrays; Ultra large scale integration;
Conference_Titel :
Multiple-Valued Logic, 2005. Proceedings. 35th International Symposium on
Print_ISBN :
0-7695-2336-6
DOI :
10.1109/ISMVL.2005.12
