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Simulation-based Analysis of Multipath Delay Distributions in Urban Canyons

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Document pages: 10 pages

Abstract: Global navigation satellite systems provide accurate positioning nearlyworldwide. However, in the urban canyons of dense cities, buildings block andreflect the signals, causing multipath errors. To mitigate multipath errors,knowledge of the distribution of the reflection delays is important.Measurements of this distribution have been done in several dense cities, butit is unknown how the delay distribution depends on the depth of the urbancanyon. To fill this gap, we simulated reflection scenarios in 12 differentenvironments: from suburban to deep urban canyon. Subsequently, we analyzed theresulting delay distributions. This paper presents these distributions, and amethod to estimate them using the number of received satellites. According toour simulation, the multipath delays follow gamma distributions, whose shapeparameters decrease when the urban canyon depth increases. A quadratic modelcan estimate the shape parameter using the number of received satellites.Consequently, depending on the number of received satellites, the distributionof the reflection delays can be estimated. This information can be combinedwith prior knowledge from other methods for improved multipath delayestimation. In the future, for more realistic results, the effects on signalsthat are reflected multiple times and environments other than urban canyonsshould be simulated.

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