Direction finding in partly calibrated sensor arrays composed of multiple subarrays
Tóm tắt
We consider the direction-finding problem in partly calibrated arrays composed of several calibrated and identically oriented (but possibly nonidentical) subarrays that are displaced by unknown (and possibly time-varying) vector translations. A new search-free eigenstructure-based direction-finding approach is proposed for such class of sensor arrays. It is referred to as the rank-reduction (RARE) estimator and enjoys simple implementation that entails computing the eigendecomposition of the sample array covariance matrix and polynomial rooting. Closed-form expressions for the deterministic Cramer-Rao bounds (CRBs) on direction-of-arrival (DOA) estimation for the considered class of sensor arrays are derived. Comparison of these expressions with simulation results show that the finite-sample performance of RARE algorithms in both time-invariant and time-varying array cases is close to the corresponding bounds. Moreover, comparisons of the derived CRBs with the well-known bounds for the fully calibrated time-invariant array case help to discover several interesting properties of DOA estimation in partly calibrated and time-varying arrays.
Từ khóa
#Sensor arrays #Direction of arrival estimation #Navigation #Polynomials #Calibration #Signal processing algorithms #Covariance matrix #Closed-form solution #Computational modeling #NarrowbandTài liệu tham khảo
weiss, 1991, self-calibration in high-resolution array processing, Advances in Spectrum Estimation and Array Processing, ii
10.1109/78.340783
10.1109/SAM.2000.878056
pesavento, 2001, direction of arrival estimation in partly calibrated time-varying sensor arrays, Proc ICASSP, 3005
pesavento, 2002, on uniqueness of direction of arrival estimates using rank reduction estimator (rare), Proc ICASSP, 3021
10.1109/78.905865
10.1109/78.790646
10.1109/29.17564
10.1109/ICASSP.1983.1172124
10.1109/29.45540
10.1109/78.127959
10.1109/29.32276
10.1109/78.823979
10.1109/7.489512
10.1109/78.852018
10.1109/78.376845
10.1109/78.720375
10.1109/ICASSP.2000.861182
10.1109/78.852001
10.1109/TASSP.1987.1165144
10.1109/78.839978
stoica, 1997, Introduction to Spectral Analysis
10.1109/78.806070
10.1049/ip-rsn:20020124
10.1006/dspr.1998.0316
10.1109/78.969523
10.1109/97.917699