Super-Activation of the Composite Independent Arbitrarily Varying Channel under State Constraints

Abstract

The question of reliability in self-coordinating vehicular networks is discussed. Most state-of-the-art approaches have no central entity controlling channel access, so there may be arbitrary interference from other parties. Thus, a suitable channel model is the Arbitrarily Varying Channel (AVC). Employing multiple antennas on a receiver to make use of spatial diversity is a promising approach to combat interference. An important question then is, how many antennas are needed to harvest the maximum gain. For Binary Symmetric AVCs (AVBSC) and an identical state-constrained jammer already the deployment of three, uncorrelated receive antennas avoids symmetrizability and thus ensures positive capacity. Furthermore, the deterministic capacity of the identical state-constrained composite AVBSC is continuous and can be super-activated, a phenomenon which hitherto, was deemed impossible for classical communication without secrecy constraints. Subsuming, receive antenna diversity is an enabler for reliable communication over communication channels with arbitrarily varying interference.