  In this paper we consider a binaural hearing aid setup, where in addition to
the head-mounted microphones an external microphone is available. For this
setup, we investigate the performance of several relative transfer function
(RTF) vector estimation methods to estimate the direction of arrival(DOA) of
the target speaker in a noisy and reverberant acoustic environment. More in
particular, we consider the state-of-the-art covariance whitening (CW) and
covariance subtraction (CS) methods, either incorporating the external
microphone or not, and the recently proposed spatial coherence (SC) method,
requiring the external microphone. To estimate the DOA from the estimated RTF
vector, we propose to minimize the frequency-averaged Hermitian angle between
the estimated head-mounted RTF vector and a database of prototype head-mounted
RTF vectors. Experimental results with stationary and moving speech sources in
a reverberant environment with diffuse-like noise show that the SC method
outperforms the CS method and yields a similar DOA estimation accuracy as the
CW method at a lower computational complexity.
