Secure Distributed Detection of Sparse Signals via Falsification of Local Compressive Measurements

The problem of detecting a high-dimensional signal based on compressive measurements in the presence of an eavesdropper (Eve) is studied in this paper. We assume that a large number of sensors collaborate to detect the presence of sparse signals while the Eve has access to all the information transmitted by the sensors to the fusion center (FC). A strategy to ensure secrecy that has been used in the literature is the injection of artificial...