N. Yuen et B. Friedlander, PERFORMANCE ANALYSIS OF HIGHER-ORDER ESPRIT FOR LOCALIZATION OF NEAR-FIELD SOURCES, IEEE transactions on signal processing, 46(3), 1998, pp. 709-719
Most existing array processing techniques for estimating the direction
s of arrival (DOA's) or signal copy rely heavily on the plane-wave ass
umption of far-field sources, When the sources are located relatively
close to the array, these techniques may no longer perform satisfactor
ily. In this paper, we present an asymptotic performance analysis of a
recently proposed ESPRIT-like method for passive localization of near
; field sources, The algorithm, which is based on fourth-order cumulan
ts, is formulated for observations collected from a single uniformly s
paced linear array, We examine the least-squares version of the algori
thm and derive the expressions for the asymptotic variance of the esti
mated DOA's (relative to a reference sensor) and estimated ranges of t
he sources, We also derive an algorithm independent bound on the asymp
totic variance of the estimated parameters. This bound can be used as
a measure against the theoretically predicted algorithmic performance.
Some insight into the achievable performance of this algorithm is obt
ained by numerical evaluation of the bound for several test cases of i
nterest, and the results are compared with those obtained by numerical
evaluation of the theoretically predicted performance, Monte Carlo si
mulations are used to verify the theoretical analysis.