Three dimensional compressive sensing in MIMO radar

A compressive sensing based bistatic MIMO radar is proposed for joint direction of departure (DOD), direction of arrival (DOA) and Doppler frequency estimation, where random arrays are employed and the intervals between adjacent pulses are chosen randomly. A discretization mechanism for DOD- DOA-Doppler space is established. Under such a sparse framework, the least amount of random measurements required for faithful target parameter recovery is derived. The theoretical derivation indicates that a dramatic reduction in the number of measurements is attainable without degrading the estimation performance. Numerical results demonstrate the effectiveness of the framework as well as the recovery guarantees.