Performance of the Neyman-Pearson Receiver for a Binary Thermal Coherent State Signal

Kazuki Sato, Kenji Nakahira, Shogo Usami +1 more

David Luong, Bhashyam Balaji, Sreeraman Rajan

We derive a detector that optimizes the target detection performance of any single-input single-output noise radar satisfying the following properties: it transmits Gaussian noise, it retains an internal reference signal for matched filtering, all external noise is additive white Gaussian noise, and all signals are measured using heterodyne receivers. This class of radars, which we call noise-type radars, includes not only many types of standard noise radars, but also a type of quantum radar known as quantum two-mode squeezing radar. The detector, which we derive using the Neyman-Pearson lemma, is not practical because it requires foreknowledge of a target-dependent correlation coefficient that cannot be known beforehand. (It is, however, a natural standard of comparison for other detectors.) This motivates us to study the family of Neyman-Pearson-based detectors that result when the correlation coefficient is treated as a parameter. We derive the probability distribution of the Neyman-Pearson-based detectors when there is a mismatch between the pre-chosen parameter value and the true correlation coefficient. We then use this result to generate receiver operating characteristic curves. Finally, we apply our results to the case where the correlation coefficient is small. It turns out that the resulting detector is not only a good one, but that it has appeared previously in the quantum radar literature.

Joel H. Shapiro

M. N. M. Rahi, M. N. H. Shoaib, A. Z. Rizve +4 more

This paper focuses on secure wireless multicasting under the employment of a Neyman-Pearson receiver, along with a selection combining (SC) diversity technique over a Rayleigh fading channel. SC diversity technique provides diversity gain by selecting the strongest received signal from several brunches. The authors aim to prevent eavesdropping of the sent signal by considering the number of eavesdroppers, multicast users, and receive and eavesdropper side antennas. In order to maintain confidentiality when there are numerous eavesdroppers present, the authors developed the closed-form analytical expression for the probability of non-zero secrecy multicast capacity (PNSMC) and secure outage probability for multicasting (SOPM). These mathematical models help provide insight into the effects of the aforementioned parameters. The numerical results show that security in a multicast network employing a Neyman-Pearson receiver with SC diversity technique is significantly affected by the receive and eavesdropper side antenna number, the amount of multicast user and eavesdropper, especially at low noise power region of the eavesdropper channel.

Samuel J. Dolinar

Robert S. Kennedy