Extending SCAN and SHAPE Algorithms for Designing MIMO Radar Sequence Sets

In radar systems, interference between the transmit signal and communication signals possibly existing in the same spectrum band is a serious concern. As a possible solution to this problem, cognitive radars having transmit signals whose spectra contain notches are proposed. Two algorithms named SCAN and SHAPE can be used for designing such radar transmit signals with desirable spectral characteristics. The SCAN algorithm can also reduce sidelobes of the temporal autocorrelations of the designed sequences via some additional constraints. In this manuscript, we introduce generalizations of both SCAN and SHAPE algorithms for multiple-input multiple-output (MIMO) radar systems. SCAN and SHAPE are both iterative algorithms employing fast Fourier transform (FFT). Hence, they allow design of long sequences in an efficient manner. We also provide numerical simulation examples of MIMO SCAN and MIMO SHAPE algorithms comparing their performances against each other.