Extended carrier-hopping prime codes for optical and wireless CDMA systems

In this paper, a new class of carrier-hopping codes for frequency-hopping wireless and wavelength-hopping fiber optic code-division multiple-access (CDMA) is constructed by modifying the original carrier-hopping prime codes. The new carrier-hopping prime codes possess expanded and asymptotically optimal cardinality, zero autocorrelation side-lobes, and cross-correlation functions. The performance analysis of the new codes will be given and compared to the carrier-grouping scheme. Under the best scenario that a central controller is used to uniformly distribute all simultaneous users over groups of carriers in the grouping scheme, the results show that the new codes perform as good as the grouping scheme if the traffic load is heavy