Secrecy Throughput in Inhomogeneous Wireless Networks with Nonuniform Traffic

We investigate the secrecy throughput of inhomogeneous wireless network, especially in cases of independent and uniform eavesdropper with single antenna and multiple antennas. Towards the inhomogeneous distribution of legitimate nodes, we novelly construct a circular percolation model under the idea of transforming "inhomogeneous" to "homogeneous." Correspondingly, the information is transmitted by two ways: intracluster transmission and intercluster transmission. For intracluster transmission, a per-node secrecy throughput of Omega(root 1/n(1-v)(1 - v)logn) is derived by circular percolation model, where n and n(v) represent the number of nodes and clusters in the network, respectively. As for intercluster case, a connection called "information pipelines" is built. Then the per-node secrecy throughput of Omega(root Phi/root n) can be obtained, where Phi denotes the minimum node density in the network. Moreover, when the eavesdropper is equipped with psi(n) antennas, the per-node secrecy throughput of Omega(root 1/n(1-v)(1 - v)logn psi(-2/alpha)(n)) and Omega((root Phi/root n)psi(-2/alpha)(n)) is achieved for intracluster and intercluster transmission, respectively.