Study on Interleaver Design for Turbo Codes Using Permutation Polynomials Over Integer Rings
Le Zhang, Youyun Xu, Xinrui Ma, Hanwen Luo, Xiaoying Gan · IEEE Vehicular Technology Conference · 2006
Some properties of permutation polynomials over integer rings, mainly the 3ncase, are studied and some conclusions are drawn. A decision theorem for 3ncase and a proof of the MCF property for size pnpermutation polynomial-based interleaver are presented. A design criterion for interleavers based on third degree permutation polynomial is proposed to select the coefficients of the polynomials. Simulation results show that these interleavers can achieve near performance of S-random interleavers, and for short frame size, they outperform S-random interleavers.