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A Non-terrestrial Network (NTN) comprising Low Earth Orbit (LEO) satellitescan enable connectivity to underserved areas, thus complementing existingtelecom networks. The high-speed satellite motion poses several challenges atthe physical layer such as large Doppler frequency shifts. In this paper, ananalytical framework is developed for statistical characterization of Dopplershift in an NTN where LEO satellites provide communication services toterrestrial users. Using tools from stochastic geometry, the users within acell are grouped into disjoint clusters to limit the differential Doppleracross users. Under some simplifying assumptions, the cumulative distributionfunction (CDF) and the probability density function are derived for the Dopplershift magnitude at a random user within a cluster. The CDFs are also providedfor the minimum and the maximum Doppler shift magnitude within a cluster.Leveraging the analytical results, the interplay between key system parameterssuch as the cluster size and satellite altitude is examined. Numerical resultsvalidate the insights obtained from the analysis.

A Stochastic Geometry Approach to Doppler Characterization in a LEO Satellite Network