Performance Evaluation of Differential Correlation for Single Shot Measurement Positioning

Andreas Schmid and Andre Neubauer

Abstract: Current enhanced sensitivity A-GPS receivers developed for moderate indoor reception increase the observation period with noncoherent integration of the envelope of coherently integrated predetection samples. This paper introduces a different method, differential correlation, where the current coherently integrated predetection sample is multiplied with the conjugated complex of the previous predetection sample, before accumulating this product. In this paper, the deterministic signal and the stochastic noise components with their probability density functions and moments are derived algebraically for differential correlation and conventional noncoherent integration. Nonidealities in the receiver implementation and the navigation signal structure are thereby incorporated. The achievable sensitivity for differential correlation is compared versus conventional noncoherent integration for a wide variety of scenarios, including combinations of different coherent integration times, various total integration times, various frequency deviations, various frequency drifts, and strong interfering navigation signals. As a result, differential correlation offers a sensitivity gain over conventional noncoherent integration that depends on the respective scenario, but averages around 1.5 dB.
Published in: Proceedings of the 17th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS 2004)
September 21 - 24, 2004
Long Beach Convention Center
Long Beach, CA
Pages: 1998 - 2009
Cite this article: Schmid, Andreas, Neubauer, Andre, "Performance Evaluation of Differential Correlation for Single Shot Measurement Positioning," Proceedings of the 17th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS 2004), Long Beach, CA, September 2004, pp. 1998-2009.
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