Ayj. Chan et J. Litva, MUSIC AND MAXIMUM-LIKELIHOOD TECHNIQUES ON 2-DIMENSIONAL DOA ESTIMATION WITH UNIFORM CIRCULAR ARRAY, IEE proceedings. Radar, sonar and navigation, 142(3), 1995, pp. 105-114
The authors describe the application of multiple signal classification
(MUSIC) and maximum likelihood (ML) techniques to the joint azimuthal
and elevational directions-of-arrival (AEDOA) estimation with a unifo
rm circular array. Both deterministic and random source signal models
are considered. The asymptotic statistical properties of MUSIC and ML
estimation error vectors for AEDOA parameters are investigated. In par
ticular, explicit analytical expressions are derived for asymptotic MU
SIC and ML covariance matrices as well as Cramer-Rao lower bounds (CRL
Bs). These analytical formulae are employed in the theoretical perform
ance study. Computer simulation results are presented to validate theo
retical predictions and compare the performance of MUSIC and ML method
s. It is shown that the performance of unconditional ML is superior to
that of deterministic ML, which is, in turn, better than that of MUSI
C.