Visible light communication (VLC) has emerged as a secure, cost-effective, and green supplement to the existing radio frequency (RF) communication systems. However, the performance of a typical VLC link is degraded by the following factors: (a) inter-symbol interference (ISI), which arises due to limited modulation bandwidth of light-emitting diode (LED), (b) the dispersion due to multi-path reflections, and (c) nonlinear transfer characteristics of LED. To mitigate ISI and LED nonlinearity, existing blind post-distorters, like the Volterra modified cascaded multimodulus algorithm (MCMMA) and the Hammerstein improved multistage clustering (HIMSC) approaches, experience degradations from modeling errors due to abrupt polynomial-series truncation. To mitigate these degradations, we propose a novel random Fourier features (RFF) based improved multi-stage clustering (RFF-IMSC) algorithm for blind post-distortion. Simulations performed over standardized IEEE 802.15 PAN VLC channels indicate that the proposed RFF-RIMSC post-distorter delivers improved performance as compared to the existing blind post-distorters. Also, analytical guarantees are presented and error-rate performance are analyzed for the $\epsilon $ -optimality of this approach with respect to supervised loss-functions.

中文翻译：

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基于随机傅立叶特征的 VLC 无监督多级聚类性能分析


可见光通信（VLC）已成为现有射频（RF）通信系统的安全、经济高效且绿色的补充。然而，典型的 VLC 链路的性能会因以下因素而降低：(a) 由于发光二极管 (LED) 的调制带宽有限而产生的码间干扰 (ISI)，(b) 由于发光二极管 (LED) 的调制带宽有限而产生的色散多路径反射，以及 (c) LED 的非线性传输特性。为了减轻 ISI 和 LED 非线性，现有的盲后失真器，例如 Volterra 改进的级联多模算法 (MCMMA) 和 Hammerstein 改进的多级聚类 (HIMSC) 方法，会因多项式级数突然截断而导致建模误差恶化。为了减轻这些退化，我们提出了一种基于随机傅里叶特征（RFF）的新型改进多级聚类（RFF-IMSC）算法，用于盲后失真。在标准化 IEEE 802.15 PAN VLC 信道上进行的仿真表明，与现有的盲后失真器相比，所提出的 RFF-RIMSC 后失真器具有更高的性能。此外，还提出了分析保证，并分析了错误率性能，以确定该方法相对于监督损失函数的 $\epsilon $ 最优性。