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 str...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.展开更多
文摘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.