A modified PUMA/EPUMA for direction-of-arrival estimation of coherent sources
Résumé
The principal-singular-vector utilization modal analysis (PUMA) related algorithms have been proposed to
address the problem of insufficient robustness of the method of direction estimation (MODE) related algorithms,
which are sensitive to the parity of the number of sources due to the additional assumption and constraints on
the symmetry of the root polynomial coefficients. Moreover, the MODE-related algorithms do not have severe
performance degradation when the source covariance matrix is rank deficient, however, the initial PUMA-related
algorithms will have a degraded performance under such circumstances. The initial PUMA is developed using a
full rank source covariance matrix hypothesis, which is not valid for coherent sources. In this paper, a rigorous
extension of the PUMA and enhanced-PUMA (EPUMA) is proposed to handle the case where the source covariance
matrix may be rank deficient. The modified PUMA/EPUMA (Mod-PUMA/EPUMA) can be applied rigorously in the
case of multiple coherent sources. In addition, it has lower computational complexity and faster convergence than
the initial PUMA/EPUMA. The effectiveness of the Mod-PUMA/EPUMA is shown by experimental comparison
with the initial PUMA-related algorithms and MODE-related algorithms.
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