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

¹ Division of Electronics and Information Engineering, Chonbuk National University, Baekje-Daero, Republic of Korea
² Division of Electronics and Information Engineering, Chonbuk National University, Deokjin-Gu, Republic of Korea
³ Division of Electronics and Information Engineering, Chonbuk National University, Jeonju-Si, Republic of Korea
⁴ Division of Electronics and Information Engineering, Chonbuk National University, Jeollabuk-Do, Republic of Korea

Communications and Network·Volume 05 (2013)·Pages 20–24·Published 30 May 2013·DOI10.4236/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.

KeywordsElement-Wise InverseModulo Jacket Matrixthe Sides of ShapeLattice AlignmentML Decoding

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

Abstract

References (15)