  Target detection is an important problem in multiple-input multiple-output
(MIMO) radar. Many existing target detection algorithms were proposed without
taking into consideration the quantization error caused by analog-to-digital
converters (ADCs). This paper addresses the problem of target detection for
MIMO radar with one-bit ADCs and derives a Rao's test-based detector. The
proposed method has several appealing features: 1) it is a closed-form
detector; 2) it allows us to handle sign measurements straightforwardly; 3)
there are closed-form approximations of the detector's distributions, which
allow us to theoretically evaluate its performance. Moreover, the closed-form
distributions allow us to study the performance degradation due to the one-bit
ADCs, yielding an approximate $2$ dB loss in the low-signal-to-noise-ratio
(SNR) regime compared to $\infty$-bit ADCs. Simulation results are included to
showcase the advantage of the proposed detector and validate the accuracy of
the theoretical results.
