The theoretical analysis of the bit error rate(BER) performance in a discrete Hartley transform(DHT) post-coded orthogonal frequency division multiplexing(OFDM) visible light communication(VLC) system over an additive white Gaussian noise(AWGN) channel is presented. The theoretical analysis results show that the proposed DHT post-coding scheme does not degrade the BER performance of the post-coded OFDM VLC systems. The analysis result is confirmed by our simulation results for random bit source. In addition, the peak-to-average power ratio(PAPR) of the DHT post-coded OFDM is evaluated by simulation. The simulation results show that DHT post-coding can greatly reduce of the PAPR of the optical OFDM system.
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