  We present a compressive radar design that combines multitone linear
frequency modulated (LFM) waveforms in the transmitter with a classical stretch
processor and sub-Nyquist sampling in the receiver. The proposed compressive
illumination scheme has fewer random elements resulting in reduced storage and
complexity for implementation than previously proposed compressive radar
designs based on stochastic waveforms. We analyze this illumination scheme for
the task of a joint range-angle of arrival estimation in the multi-input and
multi-output (MIMO) radar system. We present recovery guarantees for the
proposed illumination technique. We show that for a sufficiently large number
of modulating tones, the system achieves high-resolution in range and
successfully recovers the range and angle-of-arrival of targets in a sparse
scene. Furthermore, we present an algorithm that estimates the target range,
angle of arrival, and scattering coefficient in the continuum. Finally, we
present simulation results to illustrate the recovery performance as a function
of system parameters.
