  In this paper, we consider waveform design for dualfunction
radar-communication systems based on multiple-inputmultiple-out arrays. To
achieve better Rician target detection performance, we use the relative entropy
associated with the formulated detection problem as the design metric. We also
impose a multiuser interference energy constraint on the waveforms to ensure
the achievable sum-rate of the communications. Two algorithms are presented to
tackle the nonlinear non-convex waveform design problem. In the first
algorithm, we derive a quadratic function to minorize the objective function.
To tackle the quadratically constrained quadratic programming problem at each
iteration, a semidefinite relaxation approach followed by a rank-one
decomposition procedure and an efficient alternating direction method of
multipliers (ADMM) are proposed, respectively. In the second algorithm, we
present a novel ADMM algorithm to tackle the optimization problem and employ an
efficient minorization-maximization approach in the inner loop of the ADMM
algorithm. Numerical results demonstrate the superiority of both algorithms.
Moreover, the presented algorithms can be extended to synthesize
peak-to-average-power ratio constrained waveforms, which allows the radio
frequency amplifier to operate at an increased efficiency.
