Approximate statistical description of a differential detector for the design of efficient acquisition strategies

摘要

In this work we show an approximation for the detection and false alarm probabilities of a differential detector with constant false alarm probability, applied to GNSS signal acquisition. Also, a novel performance metric is shown that we believe is an important parameter when designing efficient acquisition strategies for the implementation of GNSS receivers. The work allows for the conclusion that these simple but moderately accurate approximations are indeed useful when combined with the presented metric. The approximations and asseverations made about the performance metric are sustained with Monte Carlo simulations.