Matrix partitioning code family for spectral amplitude coding OCDMA

This paper presents a family of newly constructed codes to mitigate the multiple access interference (MAI) and phase-induced intensity noise (PIIN) in spectral amplitude-coding optical code division multiple access systems. The family of newly constructed codes, named matrix portioning (MP) code, is derived from arithmetic sequence, and their cross-correlation is not larger than one. In addition, the weight code can be any number which makes an MP promising code for future optical communication systems. We have also described detailed examples on how to construct this code family. The results reveal that the MP code is effective in reducing the MAI and PIIN, while maintaining a good signal-to-noise ratio and low bit error probability. Simulation results taken from a commercial optical system simulator, Virtual Instrument Photonic (VPITM)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(\hbox {VPI}^{\mathrm{TM}})$$\end{document}, are also demonstrated. The results obtained for MP code have shown significant improvement compared to other schemes that employ flexible cross-correlation, multi diagonal, dynamic cyclic shift, and random diagonal codes. It is shown that, when the effective power is large, the intensity noise specifies as the main factor that deteriorates the system performance. When the effective power is not sufficiently large, thermal and shot noise sources become the main limiting factors and the effect of thermal noise is more influential than that of shot noise.