On topological properties of wireless sensor networks under the q-composite key predistribution scheme with on/off channels

摘要: To be considered for an IEEE Jack Keil Wolf ISIT Student Paper Award. The seminal q-composite key predistribution scheme [3] (IEEE S&P 2003) is used prevalently secure communications in large-scale wireless sensor networks (WSNs). Yagan [10] IT 2012) and we [13] 2013) explore topological properties of WSNs employing the case q = 1 with unreliable communication links modeled as independent on/off channels. However, it challenging to derive results general under such channel model. In this paper, resolve challenge investigate related node degree operating Our apply q, yet there has not been any work literature reporting corresponding even 1, which are stronger than those about [10], [13]. Specifically, show that number nodes asymptotically converges a Poisson distribution, present asymptotic probability distribution minimum network, establish exact property at least arbitrary value. Numerical experiments confirm validity our analytical findings.