Code acquisition using the locally optimum test statistics in both multiplicative and additive noises

Multiplicative noise is known to be useful in modeling some environments, which is difficult to describe by additive noise model. In this paper, the pseudo noise (PN) code acquisition in multiplicative and additive noises is considered. Modeling the acquisition problem as a hypothesis testing problem, a new detector is proposed for multiplicative noise, based on the locally optimum detection technique. To reducing the complexity of the proposed detector, a simpler detector is derived. Numerical results show that the proposed detector can offer substantial performance improvement over the conventional schemes in multiplicative and additive noises.