  The problem of joint design of transmit waveforms and receive filters is
desirable in many application scenarios of multiple-input multiple-output
(MIMO) radar systems. In this paper, the joint design problem is investigated
under the signal-to-interference-plus-noise ratio (SINR) performance metric, in
which case the problem is formulated to maximize the SINR at the receiver side
subject to some practical transmit waveform constraints. A numerical algorithm
is proposed for problem resolution based on the manifold optimization method,
which has been shown to be powerful and flexible to address nonconvex
constrained optimization problems in many engineering applications. The
proposed algorithm is able to efficiently solve the SINR maximization problem
with different waveform constraints under a unified framework. Numerical
experiments show that the proposed algorithm outperforms the existing
benchmarks in terms of computation efficiency and achieves comparable SINR
performance.
