By Qian Wang,Kaihe Xu,Kui Ren | published 2011-09-05 |
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By exploiting multipath fading channels as a source of common randomness,
physical layer (PHY) based key generation protocols allow two terminals with
correlated observations to generate secret keys with information-theoretical
security. The state of the art, however, still suffers from major
limitations,\textit{ e.g.}, low key generation rate, lower entropy of key bits
and a high reliance on node mobility. In this paper, a novel cooperative key
generation protocol is developed to facilitate high-rate key generation in
narrowband fading channels, where two keying nodes extract the phase randomness
of the fading channel with the aid of relay node(s). For the first time, we
explicitly consider the effect of estimation methods on the extraction of
secret key bits from the underlying fading channels and focus on a popular
statistical method--maximum likelihood estimation (MLE). The performance of the
cooperative key generation scheme is extensively evaluated theoretically. We
successfully establish both a theoretical upper bound on the maximum secret key
rate from mutual information of correlated random sources and a more practical
upper bound from Cramer-Rao bound (CRB) in estimation theory. Numerical
examples and simulation studies are also presented to demonstrate the
performance of the cooperative key generation system. The results show that the
key rate can be improved by a couple of orders of magnitude compared to the
existing approaches.
... http://arxiv.org/abs/1109.0766