With the rapid advancement of the automotive industry and artificial intelligence, automobiles have brought unparalleled convenience and efficiency to people's lives. However, they have also introduced certain challenges, such as traffic congestion. The technology of Vehicular Ad-Hoc Networks (VANETs) stands as a pivotal element of the Intelligent Transportation System(ITS) and has garnered widespread attention from researchers worldwide. VANETs primarily focus on enabling seamless information exchange among vehicles, laying the groundwork for reliable technical support to achieve autonomous driving on roads. Existing literature has extensively examined the outage probability and average bit error rate (BER) in wireless digital systems operating under Nakagami-m fading channels. Most of these analyses have been confined to static wireless terminals, where the received signal power follows a gamma distribution. Nevertheless,real-world scenarios often involve networks with mobile receiving nodes, static wireless terminals do not satisfy the mobility of transceiver nodes,research on mobile transceiver nodes is necessary.In this paper, we delve into three distinct wireless network deployment topologies, employing the Random Waypoint (RWP) mobility model. In such dynamic systems, the received power does not conform to a gamma distribution in the presence of Nakagami-m fading. We derive the probability density function (PDF) and cumulative distribution function (CDF) of the received signal power for mobile nodes. Consequently, we determine the average BER for general modulation schemes, considering different ms values and three diverse topology structures' impact on the average BER of Nakagami-m fading channels.