On Chip Pulse Shape Design for Global Navigation Satellite Systems

Kurzfassung

In this work a method to design chip pulse shapes which are absolutely bandlimited, mainly concentrated in the chip duration and that minimize the tracking error variance for a navigation receiver is presented. This low complexity optimization method is based on the prolate spheroidal wave functions (PSWF). Thus, the variational problem at hand can be transformed into a tractable parametric optimization problem. It is shown that the designed optimum chip pulse shapes significantly improve the synchronization performance by means of the Cramer Rao lower Bound (CRLB) and the time-delay estimation bias under presence of multipath compared to the conventionally used bandlimited rectangular chip pulse shape.