M. Viberg et al., ARRAY-PROCESSING IN CORRELATED NOISE FIELDS BASED ON INSTRUMENTAL VARIABLES AND SUBSPACE FITTING, IEEE transactions on signal processing, 43(5), 1995, pp. 1187-1199
Accurate signal parameter estimation from sensor array data is a probl
em which has received much attention in the last decade, A number of p
arametric estimation techniques have been proposed in the literature,
In general, these methods require knowledge of the sensor-to-sensor co
rrelation of the noise, which constitutes a significant drawback, This
difficulty can be overcome only by introducing alternative assumption
s that enable separating the signals from the noise, In some applicati
ons, the raw sensor outputs can be preprocessed so that the emitter si
gnals are temporally correlated with correlation length longer than th
at of the noise. An instrumental variable (TV) approach can then be us
ed for estimating the signal parameters without knowledge of the spati
al color of the noise, A computationally simple IV approach has recent
ly been proposed by the authors, Herein, a refined technique that can
give significantly better performance is derived, A statistical analys
is of the parameter estimates is performed, enabling optimal selection
of certain user-specified quantities, A lower bound on the attainable
error variance is also presented, The proposed optimal IV method is s
hown to attain the bound if the signals have a quasideterministic char
acter.