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The paper investigates the joint design of transmit waveform and receive filter for multiple-input multiple-output radar in the presence of signal-dependent interference, subject to a peak-to-average-power ratio constraint as well as a waveform similarity constraint. Owing to this kind of signal dependence and constraints, the formulated optimization problem of the output signal-to-interference-plus-noise ratio (SINR) maximization is NPhard. To this end, an auxiliary variable is first introduced to modify the original problem, and then a primal-dual algorithm based on the block successive upper-bound minimization method of multipliers (BSUM-M) is developed to deal with the resulting problem. Moreover, an active set method is exploited to solve the quadratic programming problem involved in each update procedure of the proposed BSUM-M algorithm. Finally, numerical simulations are performed to demonstrate the superiority of the proposed algorithm over state-of-the-art methods in terms of the output SINR, beampattern, computational complexity, pulse compression, and ambiguity properties. [ABSTRACT FROM AUTHOR]

In this Letter, the problem of waveform design for MIMO radar with good transmit beampattern performance is investigated. The binary transmit waveforms are designed via minimising the beampattern integrated sidelobe to mainlobe ratio. Since the resulting binary combination optimisation problem is NP-hard, a generalised likelihood ascent search algorithm is proposed to deal with it. Besides, the effectiveness of the proposed algorithm is demonstrated via simulation results. [ABSTRACT FROM AUTHOR]

A robust transmit beampattern matching synthesis approach is described for a multiple-input and multiple-output radar with manifold vectors perturbation. This synthesis technique minimises the worst-case matching performance between the transmit beampattern and the desired beampattern (in a least absolute deviations sense), through designing the waveform covariance matrix. Also, the resulting minimax problem can be translated into a convex problem is showed. Finally, simulation results verify good performance of the proposed robust transmit beampattern synthesis approach. [ABSTRACT FROM AUTHOR]