English

Measurement Matrix Design for Compressive Detection with Secrecy Guarantees

Information Theory 2015-06-02 v1 math.IT Applications

Abstract

In this letter, we consider the problem of detecting a high dimensional signal based on compressed measurements with physical layer secrecy guarantees. We assume that the network operates in the presence of an eavesdropper who intends to discover the state of the nature being monitored by the system. We design measurement matrices which maximize the detection performance of the network while guaranteeing a certain level of secrecy. We solve the measurement matrix design problem under three different scenarios: a)a) signal is known, b)b) signal lies in a low dimensional subspace, and c)c) signal is sparse. It is shown that the security performance of the system can be improved by using optimized measurement matrices along with artificial noise injection based techniques.

Keywords

Cite

@article{arxiv.1506.00238,
  title  = {Measurement Matrix Design for Compressive Detection with Secrecy Guarantees},
  author = {Bhavya Kailkhura and Sijia Liu and Thakshila Wimalajeewa and Pramod K. Varshney},
  journal= {arXiv preprint arXiv:1506.00238},
  year   = {2015}
}
R2 v1 2026-06-22T09:44:33.598Z