LPI waveform design for radar system against cyclostationary analysis intercept processing

Low probability of intercept (LPI) property has provided the radar system with superior survivability on the practical battlefield. In this paper, we put forward a waveform design approach to enhance the LPI performance for radar systems by considering the intercept processing of the electronic reconnaissance (ER) systems. Based on this approach, an LPI waveform design problem against the typical cyclostationary analysis (CSA) widely performed by the ER systems is studied and further formulated as an optimization problem. In this problem, the deviation between the of the designed waveform and that of the Gaussian white noise is minimized to improve the LPI performance. Meanwhile, the optimal detection signal-to-noise ratio (SNR) restriction is enforced to ensure detection ability. The resulting optimization problem is shown to be a non-convex quartic programming that is intractable in general. To solve the problem efficiently, a structural sequential greedy optimization (S-SGO) algorithm is proposed. The proposed algorithm performs an ingenious reparameterization of the radar waveform vector and solves related problems in a polynomial-time based on the thought of alternation optimization. The convergence of the proposed S-SGO is also investigated. Numerical results verify the effectiveness of the proposed approach for the LPI waveform design as well as the proposed algorithm.