  This paper aims to design a set of transmitting waveforms in cognitive
colocated Multi-Input Multi-Output (MIMO) radar systems considering the
simultaneous minimization of spatial- and the range- Integrated Sidelobe Level
Ratio (ISLR). The design problem is formulated as a bi-objective Pareto
optimization under practical constraints on the waveforms, namely total
transmit power, peak-to-average-power ratio (PAR), constant modulus, and
discrete phase alphabet. A Coordinate Descent (CD) based approach is proposed,
in which at every single variable update of the algorithm we obtain the
solution of the uni-variable optimization problems. The novelty of the paper
comes from deriving a flexible waveform design problem applicable for 4D
imaging MIMO radars which is optimized directly over the different constraint
sets. The simultaneous optimization leads to a trade-off between the two ISLRs
and the simulation results illustrate significantly improved trade-off offered
by the proposed methodologies.
