Coarse acquisition performance of the minimum mean-squared error receiver

An adaptive receiver structure is considered for obtaining timing information for a direct-sequence code-division multiple-access (CDMA) communication network operating in a near-far environment. The receiver consists of a chip matched filter followed by an LMS adaptive equalizer. By using a simple channel access protocol, the timing information for a new system user can be extracted from the weights of the adaptive equalizer. A maximum-likelihood estimation algorithm based on several simplistic assumptions on the statistical properties of the adaptive filter weights has previously been presented. The coarse code acquisition performance of the estimation algorithm is investigated. Based on the estimation algorithm, a union bound is created to give an upper bound on the probability of not achieving coarse code acquisition