Abstract

In this article, the capacity of the point-to-point VLC system is investigated by means of a functional analysis subjected to amplitude constraint and average intensity constraint. It is proved that the capacity can be achieved by a unique probability density function (PDF). The necessary and sufficient condition for the capacity-achieving PDF is derived by the functional optimization theorem. Moreover, the capacity-achieving PDF is proved to be discrete and finite. Based on these properties, the capacity-achieving constellation optimization problems under amplitude constraint and average intensity constraint is formulated and an algorithm is proposed to solve the corresponding problem. To apply simple adaptive modulation in practical VLC systems, constellation optimization problem subject to an additional equal probability constraint is formulated and solved by maximizing the mutual information as well.

Constellation optimization under the ergodic VLC channel based on generalized spatial modulation

Fubin Wang, Fang Yang, and Jian Song
Opt. Express 28(14) 21202-21209 (2020)

On the optimum signal constellation design for high-speed optical transport networks

Tao Liu and Ivan B. Djordjevic
Opt. Express 20(18) 20396-20406 (2012)

Capacity analysis for pulse amplitude modulated visible light communications with dimming control

Jin-Yuan Wang, Jun-Bo Wang, Nuo Huang, and Ming Chen
J. Opt. Soc. Am. A 31(3) 561-568 (2014)

Channel capacity and receiver deployment optimization for multi-input multi-output visible light communications

Jin-Yuan Wang, Jianxin Dai, Rui Guan, Linqiong Jia, Yongjin Wang, and Ming Chen
Opt. Express 24(12) 13060-13074 (2016)

Systematic Method for Designing Constellations for Intensity-Modulated Optical Systems

Marko Beko and Rui Dinis
J. Opt. Commun. Netw. 6(5) 449-458 (2014)