  We address the problem of designing a transmit beampattern for multiple-input
multiple-output (MIMO) radar considering co-existence with wireless
communication systems. The designed beampattern is able to manage the transmit
energy in spatial directions as well as in spectral frequency bands of interest
by minimizing the deviation of the designed beampattern versus a desired one
under a spectral constraint as well as the constant modulus constraint. While
unconstrained beampattern design is straightforward, a key open challenge is
jointly enforcing the spectral constraint in addition to the constant modulus
constraint on the radar waveform. A new approach is proposed in our work, which
involves solving a sequence of constrained quadratic programs such that
constant modulus is achieved at convergence. Further, we show that each problem
in the sequence has a closed form solution leading to analytical tractability.
We evaluate the proposed beampattern with interference control (BIC) algorithm
against the state-of-the-art MIMO beampattern design techniques and show that
BIC achieves closeness to an idealized beampattern along with desired spectral
shaping.
