Browsing by Subject "Detection probability"

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    Optimal power allocation for average detection probability criterion over flat fading channels
    (Institute of Electrical and Electronics Engineers Inc., 2017) Sarıtaş, S.; Dulek, B.; Sezer, A. D.; Gezici, Sinan; Yüksel S.
    In this paper, the problem of optimal power allocation over flat fading additive white Gaussian noise channels is considered for maximizing the average detection probability of a signal emitted from a power constrained transmitter in the Neyman-Pearson framework. It is assumed that the transmitter can perform power adaptation under peak and average power constraints based on the channel state information fed back by the receiver. Using results from measure theory and convex analysis, it is shown that this optimization problem, which is in general nonconvex, has an equivalent Lagrangian dual that admits no duality gap and can be solved using dual decomposition. Efficient numerical algorithms are proposed to determine the optimal power allocation scheme under peak and average power constraints. Furthermore, the continuity and monotonicity properties of the corresponding optimal power allocation scheme are characterized with respect to the signal-to-noise ratio for any given value of the false alarm probability. Simulation examples are presented to corroborate the theoretical results and illustrate the performance improvements due to the proposed optimal power allocation strategy.
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    Performance improvement of track initiation algorithms with the incorporation of doppler velocity measurement
    (IEEE, 2006) Kural, F.; Arıkan, F.; Arıkan, Orhan
    In this study, to obtain the analytical expressions of false track initiation probability, elevation and Doppler velocity measurements extracted by a phased array radar are incorporated for the first time into the commonly used track initiation algorithms. With this study, the measurement set is expanded from a merely range and azimuth to include elevation and Doppler velocity. The analytical expressions of false track initiation probability depend on the parameters of the signal processing unit of the phased array radar, such as false alarm probability, true detection probability, signal-to-noise ratio and detector threshold. Furthermore, such expressions remove the necessity of very time-consuming simulations. The results indicate that using position and Doppler velocity measurements provide a reduction of false track initiation probability by a factor of 9 to 34 depending on the value of velocity and acceleration thresholds while supplying the design criterion of the true track initiation probability, ≥ 0.7.