Jacket Matrix Based on Modular (3, 5, 6) Lattice Triangular Expansion

Wei Duan, Haiyang Yu, Wenjun Yu, Moon Ho Lee

Division of Electronics and Information Engineering, Chonbuk National University, Baekje-Daero, Republic of Korea.
Division of Electronics and Information Engineering, Chonbuk National University, Deokjin-Gu, Republic of Korea.
Division of Electronics and Information Engineering, Chonbuk National University, Jeollabuk-Do, Republic of Korea.
Division of Electronics and Information Engineering, Chonbuk National University, Jeonju-Si, Republic of Korea.

DOI: 10.4236/cn.2013.52B004                

Abstract

A Lattice triangular expansion matrix is presented based on the classical Hadamard matrices, which is defined over the fields of finite characteristic. Also, the modular Lattice and Pentagon expansion matrices are structured from triangular 7x7 matrix, each of the expansion matrices are modular the sides of the shape p. The issue for the existence (necessary conditions) of odd and even order matrices of that kind is addressed. The modular Lattice code is highly efficient since it requires only additions, multiplications by constant modulo p. The modular 6 Lattice triangular expanded constellation is even possible efficiency to gain advantage from the channel selection and maximum likelihood (ML) decoding in the interference Lattice alignment (IA) system.

Keywords

Element-Wise Inverse; Modulo Jacket Matrix; the Sides of Shape; Lattice Alignment; ML Decoding

Conflicts of Interest

The authors declare no conflicts of interest.

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