  Sparse array arrangement has been widely used in vector-sensor arrays because
of increased degree-of-freedoms for identifying more sources than sensors. For
large-size sparse vector-sensor arrays, one-bit measurements can further reduce
the receiver system complexity by using low-resolution ADCs. In this paper, we
present a sparse cross-dipole array with one-bit measurements to estimate
Direction of Arrivals (DOA) of electromagnetic sources. Based on the
independence assumption of sources, we establish the relation between the
covariance matrix of one-bit measurements and that of unquantized measurements
by Bussgang Theorem. Then we develop a Spatial-Smooth MUSIC (SS-MUSIC) based
method, One-Bit MUSIC (OB-MUSIC), to estimate the DOAs. By jointly utilizing
the covariance matrices of two dipole arrays, we find that OB-MUSIC is robust
against polarization states. We also derive the Cramer-Rao bound (CRB) of DOA
estimation for the proposed scheme. Furthermore, we theoretically analyze the
applicability of the independence assumption of sources, which is the
fundamental of the proposed and other typical methods, and verify the
assumption in typical communication applications. Numerical results show that,
with the same number of sensors, one-bit sparse cross-dipole arrays have
comparable performance with unquantized uniform linear arrays and thus provide
a compromise between the DOA estimation performance and the system complexity.
