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   <subfield code="a">Connectivity Analysis of Vehicular Ad Hoc Networks from a Physical Layer Perspective</subfield>
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   <subfield code="a">This paper investigates the network connectivity properties of a vehicular ad hoc network (VANET) from a physical layer perspective. Specifically, we investigate the minimum transmit power used by all vehicles, sufficient to guarantee network connectivity. As opposed to the conventional graph-theoretic approach, in this paper, the network connectivity problem is analyzed according to a physical layer-based quality of service constraint. Under this approach, a multi-hop path joining a pair of vehicles in a VANET is said to be connected if and only if the average route BER meets a target requirement. We derive closed form analytical expression for the minimum transmit power sufficient to ensure network connectivity. We also derive analytical expression for the maximum number of hops, a packet can traverse satisfying the route BER constraint, for a given transmit power. The validity of our theoretical analysis is verified by extensive simulation studies. The analysis provides a framework for investigating the impact of traffic dependent parameters such as vehicle arrival rate, vehicle density, mean and standard deviation of vehicle speed, highway length and physical layer-based parameters such as path loss exponent, fading factor, Doppler spread, and data rate on VANET connectivity characteristics.</subfield>
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