Constellation choosing based on multi-dimensional sphere packing technique

Abstract

In this paper we address the sphere packing lattice points selection problem being used as constellation points in high-dimensional modulation. We propose a new type of points selection method based on threshold theory. Theoretically, this method improves the transmission performance of high-dimensional signal modulation systems. We find that the BER of a 4D modulation signal using the threshold value points selection method reduces. We also compared random and distant points selection methods in a BER of 10−3 and obtained a reduced SNR of about 2db. At a 10−3 BER, a 8D modulation signal with points selected using the threshold selection methods obtained a reduced SNR of about 3db. At a 10−3 BER, a 16D modulation signal with points selected using the threshold selection methods obtained a reduced SNR of about 3.5db.