Abstract
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.
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