Joint Optimization of Spectral Separation and Navigation Performance in GNSS Signal Design

F. Antreich, J.A. Nossek, J-L. Issler, M. Meurer

Abstract:	In this work we present a systematic approach to design optimum chip pulse shapes for DS-CDMA systems which are strictly band-limited, whose energy is mainly concentrated in one chip duration, and that minimize the Cramer- Rao lower bound for time-delay estimation. The proposed methodology enables to formulate the problem of designing optimum chip pulse shapes in terms of achieving a trade-off between synchronization accuracy and acquisition and tracking robustness as an optimization problem. Additionally, spectral separation to non-interoperable signals in the same band is considered. This methodology uses the prolate spheroidal wave functions (PSWF) as basis functins in order to transform the primal variational problem into a dual, tractable parametric optimization problem. This work shows the interesting capabilities of the presented signal design approach for DS-CDMA systems. Further we show how two DS-CDMA signal components using optimized pulse shapes can be mapped/mulitplexed on one carrier frequency with low peak-to-average power ratio (PAPR). The presented approach is developed according to the needs of Galileo-2 signal design.
Published in:	Proceedings of the 22nd International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS 2009) September 22 - 25, 2009 Savannah International Convention Center Savannah, GA
Pages:	2852 - 2859
Cite this article:	Antreich, F., Nossek, J.A., Issler, J-L., Meurer, M., "Joint Optimization of Spectral Separation and Navigation Performance in GNSS Signal Design," Proceedings of the 22nd International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS 2009), Savannah, GA, September 2009, pp. 2852-2859.
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