Multi-Dimensional Sigma Shift Matrix (nD-SSM) Code With Adaptable Transmitter-Receiver Architecture to Support Multiclass Users for SAC-OCDMA System

This work introduces an n-D algorithm to generate multi-dimensional Sigma Shift Matrix (nD-SSM) code sequences is proposed, which is based on spectral/temporal/spatial incoherent optical code division multiple access (OCDMA) system. Our proposed system is capable of generating code in accordance with the value of n, where
$n=1$
, 2 and 3 for 1D, 2D, and 3D respectively. The nD-SSM codes improve system cardinality by eliminating multiple access interference and its accompanied phase induced intensity noise (PIIN). Additionally, the nD-SSM technique permits various users with different dimensions of codewords to send their data. The data will be sent with the lowest probability of interference. The design of transmitter-receiver structure of nD-SSM OCDMA system is described. Gaussian approximation is used to analyze performance of the proposed nD-SSM OCDMA system by investigating signal to noise ratio (SNR) and bit error rate (BER) under different conditions of transmission. The maximum allowable number of users with BER ~10-9 is 43, 108, 140, 158 and 600, respectively for 1D-SSM, 2D-SSM, 2D-DEU, 3D-PD and 3D-SSM codes, respectively at 622 Mbps. These numbers of users with the same value of BER decreased to 18 for 1D-SSM, 46 for 2D-SSM, 2 for 2D-DEU, 82 for 3D-PD, and 237 for 3D-SSM at 2.5 Gbps. At 10 Gbps, the maximum allowable number of users are 9, 24, 40, and 97 for 1D-SSM, 2D-SSM, 3D-PD, and 3D-SSM, respectively. Accordingly, the proposed 3D-SSM code supports the larger number of users at different data rates when compared to other codes.