  Compressive sensing (CS) has been applied to estimate the direction of
arrival (DOA) in underwater acoustics. However, the key problem needed to be
resolved in a {multipath} propagation environment is to suppress the
interferences between the raypaths. Thus, in this paper, {a subspace-based
compressive sensing algorithm that formulates the statistic information of the
signal subspace in a CS framework is proposed.} The experiment results show
that (1) the proposed algorithm enables the separation of raypaths that arrive
closely at the {receiver} array and (2) the existing algorithms fail,
especially in a low signal-to-noise ratio (SNR) environment.
