Minimizing the delay estimation error of a Spread Spectrum signal for satellite positioning

As is known, satellite positioning is based on measuring the delay experienced by a Spread Spectrum (SS) signal that propagates from the satellite to the receiver. In such a scenario, the more accurate the delay estimation is, the more precise user position computation will be. This paper derives a criterion to improve position accuracy, based on minimizing the variance of time-delay estimation at the receiver. In particular, it focuses on designing sequences with specified constraints on the aperiodic auto-correlation sequence. The techniques used to meet such constraints are based on difference sets obtained from power residue classification.