Stochastic wireless secure multicasting

The use of multiple antennas at both transmitting and receiving nodes is the most promising strategy to increase spectral efficiency and communication reliability as well as to leverage physical-layer confidentiality of wireless systems. In this paper, we characterize secure connectivity in a stochastic multiple-input multiple-output (MIMO) multicast network where a probe transmitter broadcasts common confidential data with sectorized transmission to legitimate receivers sitting in a region R in the presence of passive eavesdroppers. We first determine a total amount of common confidential information flow per receive antenna, called the space-time secrecy rate, into R in Poisson fields of receiving equivalents - with asymptotic arguments. Using an asymptotic secrecy graph on R, we then characterize local secure connectivity such as the secrecy range, out-degree, and out-isolation probability of the probe transmitter.