Abstract

There is an intense interest in detecting and processing global navigation satellite system (GNSS) signals indoors and in urban canyons by handheld devices where the signal is very weak and the fading is predominantly Rayleigh. To overcome these signal limitations, long coherent integration is normally used, which significantly increases the mean acquisition time (MAT) for GNSS applications. Moving the antenna arbitrarily while collecting GNSS signals is generally avoided as it temporally decorrelates the GNSS signal and limits the coherent integration gain. However, this decorrelation also provides diversity gain in a dense multipath environment. In this paper, the coherent integration loss due to antenna motion in a Rayleigh-fading channel is quantified. This is applicable to a variety of situations, including vehicle passengers and pedestrians moving in urban canyons and indoors. Then, an optimal approach for detecting GNSS signals utilizing a single moving antenna operating as a Synthetic Aperture based on the Estimator-Correlator (SAEC) is presented. The SAEC algorithm takes into account the receiver motion and multipath fading model. The performance of the moving receiver with the SAEC method is compared with a static and a moving receiver, which directly implement coherent integration. The performance of the Synthetic Aperture based on the suboptimal Equal-Gain (SAEG) combiner is also presented. As shown theoretically and experimentally, for given target-detection performances in terms of the probability of false alarm PFA and the probability of detection PD, the required signal-to-noise ratio to attain the above performances can be significantly reduced through the application of the SAEC while the receiver is moving. This results in a further reduction of the MAT.

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