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A visible light communication (VLC) system can adopt multi-color lightemitting diode (LED) arrays to support multiple users. In this paper, amulti-layer coding and constrained partial group decoding (CPGD) method isproposed to tackle strong color interference and increase the systemthroughput. After channel model formulation, user information rates areallocated and decoding order for all the received data layers is obtained bysolving a max-min fairness problem using a greedy algorithm. An achievable rateis derived under the truncated Gaussian input distribution. To reduce thedecoding complexity, a map on the decoding order and rate allocation isconstructed for all positions of interest on the receiver plane and its size isreduced by a classification-based algorithm. Meanwhile, the symmetricalgeometry of LED arrays is exploited. Finally, the transmitter-user associationproblem is formulated and solved by a genetic algorithm. It is observed thatthe system throughput increases as the receivers are slightly misaligned withcorresponding LED arrays due to the reduced interference level, but decreasesafterwards due to the weakened link gain.

Constrained Partial Group Decoding with Max-Min Fairness for Multi-color Multi-user Visible Light Communication