Asymptotic distributions of estimated cyclic autocorrelations of DSSS signals and the applications
Dan Bao, Riheng Wu, Jingjing Cai, Li Peng · EURASIP Journal on Wireless Communications and Networking · 2013
Asymptotic distributions of estimated cyclic autocorrelations (CA) of direct sequence spread spectrum (DSSS) signals are derived in this paper. The estimation follows a zero-mean complex normal distribution in which the variance exhibits a cyclic thumbtack form, and the cyclic period equals the symbol period. This property of the estimated CA can be used in the detection and recognition problem of DSSS signals. The asymptotic performances of detection and recognition are carried out, and the simulations also verify the theoretical analysis.