Multilevel Prime Code for FH-CDMA System Over Rayleigh Fading Channels

Frequency hopping code division multiple access is a technique which provides high security in the wireless communication. Different types of code sequencing techniques are used for the frequency hopping. The prime codes are only coded in the time domain. However, the small code size becomes the major issue for one-dimensional codes. To deal with this limitation of one dimensional codes, a new family of two-dimensional codes is proposed. The new codes are modified from the well known prime-hop codes. Hence, it is referred as multilevel prime codes. The modified prime-hop codes preserve the same code correlation properties as the original prime-hop codes, i.e. the cross-correlating constraint is equal to one and the autocorrelation constraint is equal to zero, and can be generated with lower cost, lower complexity and lower power loss encoders/decoders.