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Multicast transmission, wherein the same packet must be delivered to multiplereceivers, is an important aspect of sensor and tactical networks and hasseveral distinctive traits as opposed to more commonly studied unicastnetworks. Specially, these include (i) identical packets must be deliveredsuccessfully to several nodes, (ii) outage at any receiver requires the packetto be retransmitted at least to that receiver, and (iii) the multicast rate isdominated by the receiver with the weakest link in order to minimize outage andretransmission. A first contribution of this paper is the development of atractable multicast model and throughput metric that captures each of these keytraits in a multicast wireless network. We utilize a Poisson cluster process(PCP) consisting of a distinct Poisson point process (PPP) for the transmittersand receivers, and then define the multicast transmission capacity (MTC) as themaximum achievable multicast rate per transmission attempt times the maximumintensity of multicast clusters under decoding delay and multicast outageconstraints. A multicast cluster is a contiguous area over which a packet ismulticasted, and to reduce outage it can be tessellated into $v$ smallerregions of multicast. The second contribution of the paper is the analysis ofseveral key aspects of this model, for which we develop the following mainresult. Assuming $\tau/v$ transmission attempts are allowed for eachtessellated region in a multicast cluster, we show that the MTC is $\Theta(\rhok^{x}\log(k)v^{y})$ where $\rho$, $x$ and $y$ are functions of $\tau$ and $v$depending on the network size and intensity, and $k$ is the average number ofthe intended receivers in a cluster. We derive $\{\rho, x, y\}$ for a number ofregimes of interest, and also show that an appropriate number ofretransmissions can significantly enhance the MTC.

Multicast Outage Probability and Transmission Capacity of Multihop Wireless Networks