Detection of Gold Codes Using Higher-Order Statistics

Abstract

In this paper the higher-order statistics (HOS) specified in terms of triple correlation function (TCF) of Gold code which is commonly used in spread-spectrum systems is studied. A detection method of Gold sequence is presented and the proposed gold code receivers based on the peak feature of the TCF are analysed. These receivers take advantage of the TCF and use it for self-synchronization. We study two types of TCF receivers, one-stage receiver which is used with divisible by three code length and two-stage receiver which can be used with any code length. A comparison between the performances of both receivers in Additive White Gaussian Noise (AWGN) channel is performed to prove the immunity of the receivers against different noise levels.