Power allocation in MIMO radars based on LPI optimisation and detection performance fulfilment

• Published in: IET radar, sonar & navigation Vol. 14; no. 6; pp. 822 - 832
• Main Authors: Ghoreishian, Mohammad Javad, Hosseini Andargoli, Seyed Mehdi, Parvari, Fatemeh
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 01.06.2020
• Subjects: analysing signal; convex programming; convex‐linear problem; detection performance fulfilment; detection performances; different orthogonal signals; frequency diversity case; intercept optimisation problem; LPI optimisation problem; LPI performance; MIMO communication; MIMO radar; minimax techniques; minimisation; min–max problem; multiple‐input–multiple‐output radars; nonconvex; nonlinear detection performance constraint; OFDM modulation; optimisation; orthogonal frequency diversity waveforms; orthogonal PC case; orthogonal phase‐coded; orthogonal waveforms; probability; radar detection; radar signal processing; Research Article; signal processing; sum power minimisation problem; traditional power allocation algorithms; radar detection; intercept optimisation problem; nonconvex; min–max problem; signal processing; different orthogonal signals; minimax techniques; radar signal processing; detection performance fulfilment; convex-linear problem; optimisation; LPI performance; MIMO radar; orthogonal phase-coded; OFDM modulation; LPI optimisation problem; MIMO communication; orthogonal frequency diversity waveforms; orthogonal waveforms; probability; convex programming; frequency diversity case; nonlinear detection performance constraint; analysing signal; multiple-input–multiple-output radars; orthogonal PC case; detection performances; traditional power allocation algorithms; minimisation; sum power minimisation problem
• ISSN: 1751-8784; 1751-8792; 1751-8792
• DOI: 10.1049/iet-rsn.2020.0037

In this study, the issue of power allocation in the statistical multiple-input–multiple-output (MIMO) radars is investigated to reduce the probability of interception. In MIMO radars, orthogonal waveforms are commonly used, in which waveforms are orthogonal frequency-diversity or phase-coded (PC) waveforms. Therefore, the low probability of intercept (LPI) optimisation problem is considered for different orthogonal signals separately. In the FD case, the LPI optimisation problem based on analysing signal processing applied to the conventional interceptor is formulated as a min–max problem. In the PC case, the problem is formulated as a sum power minimisation problem with non-convex and non-linear detection performance constraint. Some relaxations and innovations are applied to simplify the problem and to convert it to a convex-linear problem. In addition, by analysing the form of the proposed solution, the proposed algorithm is extended based on adaptive thresholding to improve the LPI performance as much as possible. Here, the original problem is solved by a standard log-barrier algorithm as a benchmark to verify the optimality of the proposed algorithms. Simulation results show that, the proposed algorithms guarantee not only the detection performances, but also the LPI performance is considerably better in comparison with traditional power allocation algorithms.