This work investigates single-input single-output (SISO) visible light communication (VLC) when subject to signal-dependent shot noise (SDSN). The topics of discussion include channel estimation and data transmission, where in the former, we introduce both least square (LS) and maximum likelihood (ML) estimators. The Cramér-Rao lower bound (CRLB) of the channel estimation error is also derived. In terms of data transmission, we propose optimal and sub-optimal receiver designs and present their bit error rate (BER) performances. In specific, we derive a closed-form expression of the BER for the sub-optimal receiver and an approximated version for the optimal one. Our analysis indicates that the performance of the CRLB demonstrates no linear relationship with the SDSN, thermal noise, or the fading channel. On the other hand, SDSN has quite a severe effect on the channel estimation error bound, and as such, it can dramatically degrade the BER performance. Heightened performance degradation can also be explained by the joint effects of the channel estimation error and SDSN.

中文翻译：

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具有输入相关噪声的可见光通信：信道估计、最佳接收器设计和性能分析


这项工作研究了受到信号相关散粒噪声 (SDSN) 影响时的单输入单输出 (SISO) 可见光通信 (VLC)。讨论的主题包括信道估计和数据传输，在前者中，我们介绍了最小二乘（LS）估计器和最大似然（ML）估计器。还导出了信道估计误差的 Cramér-Rao 下界 (CRLB)。在数据传输方面，我们提出了最佳和次优的接收器设计，并展示了它们的误码率（BER）性能。具体来说，我们推导了次优接收器的 BER 封闭式表达式以及最优接收器的近似版本。我们的分析表明，CRLB 的性能与 SDSN、热噪声或衰落信道没有线性关系。另一方面，SDSN 对信道估计误差范围有相当严重的影响，因此，它会显着降低 BER 性能。信道估计误差和 SDSN 的共同影响也可以解释性能恶化的加剧。