Accurate Analysis of Double-Weight Codes with an Arbitrary Maximum Cross-Correlation Value for Two-Chip-Power Optical CDMA

Due to power restriction of some laser sources, the use of same power (per bit duration) in optical codes in incoherent optical code-division multiple-access multimedia networks with variable quality-of-services was previously studied. In those studies, the performance of double-weight codes with the maximum cross-correlation function λ_c = 1 was exactly analyzed, but an approximation was only applied to the codes with λ_c > 1 due to mathematical complexity. In this paper, an exact analytical model of double-weight codes with an arbitrary λ_c ≥ 1 is formulated and validated with computer simulation. This general, more accurate performance model is also useful for power-sensitive applications, such as in-service monitoring and fiber-fault surveillance in optical networks and sensor-identification in fiber-sensor systems using optical codes for address or user identification.