  This letter presents the sparse vector signal detection from one bit
compressed sensing measurements, in contrast to the previous works which deal
with scalar signal detection. In this letter, available results are extended to
the vector case and the GLRT detector and the optimal quantizer design are
obtained. Also, a double-detector scheme is introduced in which a sensor level
threshold detector is integrated into network level GLRT to improve the
performance. The detection criteria of oracle and clairvoyant detectors are
also derived. Simulation results show that with careful design of the threshold
detector, the overall detection performance of double-detector scheme would be
better than the sign-GLRT proposed in [1] and close to oracle and clairvoyant
detectors. Also, the proposed detector is applied to spectrum sensing and the
results are near the well known energy detector which uses the real valued data
while the proposed detector only uses the sign of the data.
