Generation of multi-polarity helix transform over GF(3)
- Resource Type
- Journal Article
- Authors
- Bogdan J. Falkowski; Cheng Fu
- Source
- IEICE Electronics Express. 2004, 1(8):211
- Subject
- Galois Field (3)
Reed-Muller
multi-polarity helix transform
- Language
- English
- ISSN
- 1349-2543
In this article, the new multi-polarity helix transform for ternary logic functions has been introduced. In addition, an extended dual polarity property that had been used to optimize Kronecker and quaternary Fixed-Polarity Reed-Muller (FPRM) expressions has been applied to generate efficiently the multi-polarity helix transform over GF(3). The experimental results for the transform are compared with the well known ternary Reed-Muller transform and it was found that the helix transform is quite efficient in terms of non-zero spectral coefficients and corresponding memory storage.