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Correlation Analysis and Path Loss Prediction for Optical Wireless Scattering Communication over Broad Spectra

None-line-of-sight (NLOS) optical wireless scattering communication over broad spectra can further increase the transmission rate beyond single wavelength scattering communication. A fundamental question is to investigate the link gain correlation among the multiple wavelengths, which may lead to more efficient communication design and optimization approaches. We investigate the correlation between path losses over the wavelengths under varying atmospheric and transmission geometry parameters, and show that the random link gain vector can be represented in a reduced dimensional space using principle components analysis (PCA). We also justify such correlation properties theoretically through a simplified single-scattering model. We predict path losses for all wavelengths using samples of only some wavelengths. It is seen that for the scenarios with $41$ wavelengths under consideration, three reference wavelengths suffice to minimize the prediction distortion while four reference wavelengths may lead to an over-fitting.