A new family of 3-D optical orthogonal codes for optical CDMA systems with differential detection

Abstract

Two-dimensional codes for OCDMA have been shown to be more versatile compared to the one-dimensional codes for their good spectral efficiency as well as better BER performance. The two-dimensional (2-D) codes also benefit from the reduction of the wavelength/time-like property over the one-dimensional (1-D) codes. The three-dimensional (3-D) codes are important as these produce a larger code set. In this paper, we present a new family of 3-D single pulse per plane codes for differential detection (SPDD) for optical cdma systems (based on the 1-D golomb ruler sequences), which achieve good code cardinality and a very high BER performance. The improved BER performance is obtained by using two codes to encode ‘1’ and ‘0’ bits in the encoder and adopting the Differential Detection in the receiver. The comparison of our 3-D single pulse per plane codes for differential detection with some of the best reported 2-D/3-D codes, shows that the 3-D SPDD codes perform significantly better than the others. The number of simultaneous users supported at 1e-9 is much more increased over those supported by the earlier proposed 2-D/3-D orthogonal codes.