Abstract: A new method about the transmitting pattern synthesis of multiple-input and multiple-output (MIMO) radar is proposed in order to maintain the uniform elemental power constraint and low peak-to-average power ratio (PAPR) of the transmitted waveform. A basis matrix set is constructed, which can convert the solution of covariance matrix into the optimization of the coefficients of basis matrix set. It can not only reduce the computing complexity of the original optimal model but also can be solved effectively by the primal-dual interior point method. The identity matrix is included in the basis matrix set, which can satisfy the uniform elemental power constraint. And the scale factor of the desired beam is set as the unite variance so as to reduce the matching error of the MIMO radar pattern. The matrix decomposition and alternate optimal method are used to design the transmitted waveform which can effectively descend the PAPR based on the convex optimization. The simulation results are presented to verify the efficiency of the proposed method.

Key words: radar engineering, multiple-input and multiple-output radar, transmitting pattern synthesis, waveform design, peak-to-average power ratio, modulus constraint, convex optimization