Constrained transmit beampattern design for colocated MIMO radar

摘要

Highlights•We consider the constrained waveform design for Multiple-Input Multiple- Output (MIMO) radar to synthesize a desired beampattern.•A new Sequential Iterative Algorithm (SIA) to devise the waveform involving constant modulus and similarity constraints is proposed.•Results highlight that the proposed SIA outperforms the existing Cyclic Algorithm (CA) in terms of RMSE, computation time, beampattern.AbstractThis paper considers the constrained waveform design for Multiple-Input Multiple-Output (MIMO) radar to synthesize a desired beampattern. Specifically, resorting to SemiDefinite Programming (SDP) related technique, we first minimize Integration Sidelobe Level (ISL) to optimize the waveform covariance matrix enforcing a uniform elemental power restriction as well as a 3dB bandwidth constraint. Then, based on Least Square (LS) approach, we present the existing Cyclic Algorithm (CA) and a new Sequential Iterative Algorithm (SIA) to devise the waveform under a constant modulus constraint, and a similarity constraint to allow the designed waveform sharing the similarity feature with a given reference waveform. In particular, the proposed SIA directly optimizes the objective function and its each iteration turns the multidimensional optimization problem into multiple one-dimensional optimization problems with closed-form solutions. Finally, we assess the effectiveness of the proposed technique through numerical simulations in comparison with CA.