We study a platooning scheme where the commu-nication between agents is made through lossy channels. Each agent is modelled as a discrete-time LTI system controlled by a discrete-time LTI controller. The lossy channels are modelled using Bernoulli processes that represent random data dropouts. We consider a scheme that forces inter-vehicle spacings that increase with agents velocities. This is known as a constant time headway spacing policy, which has been shown to provide string stability for predecessor-following architectures. We analyse how the lossy channels impact the platoon string stability.