Maximum correlation of binary signals over fading channels

Multiple access interference (MAI) in CDMA system is related to the correlation of the transmitted signals from multiple users. In this work, we investigate the correlations of binary signal sets over fading channels, particularly the Gold and Kasami signal sets. A lower bound on the maximum correlation with fading is established. Moreover, an asymptotic bound depending on the length of the sequence and the first and second order statistics of the fading distribution is derived for independent fading channel, while an approximation to the maximum correlation is obtained for correlative fading channel. To analyze the fading effect on cross correlation, experimental results show that the distribution of cross correlation in slow fading environment is similar to the one without fading.