Performance of MMSE Based MIMO Radar Waveform Design in White and Colored Noise

Abstract

In this paper we consider multiple input multiple output (MIMO) radar waveform design based on white noise and colored noise. The estimation oriented measure are used as criterions for optimal waveform design under transmitted power constraint. One of the estimation measure named the mean square error is minimized between target impulse response and target echoes, the optimal solutions are derived and the optimality of matching of the singular vectors are proved. This paper uses Sum power constraint power allocation strategy for allocation of power to the antennas which shares the total power among the antennas. The MMSE performance under white noise is better compared to colored noise. Earlier works on multiple input multiple output radar is based on MMSE considered the optimization of singular value of the waveform matrix. Here the optimization of the singular vectors was also considered which forms the basis of singular value optimization. To obtain minimum MMSE the pairing of the eigenvectors of the target and noise should be carefully designed. The optimal pairing of the eigenvectors based on MMSE is fixed.