Rapidly convergent “superresolving” direction finders of noise radiation sources in adaptive arrays
DOI:
https://doi.org/10.1109/ICATT.2013.6650679Keywords:
statistical and non-statistical resolution criteria, statistical analysis, spectral functions, super resolution methods for DoA estimation, maximum likelihood estimate, sample size, adaptive lattice filter, combined direction finding, ALF-bankAbstract
For a number of known "superresolving" algorithms intended for direction-finding of point sources of noise radiation, we compare the requirements to the size of training sample in the estimates of input signals' covariance matrix. We discuss the reasons of the distinctions between the analyzed algorithms, and propose new kinds of methods with improved robustness to the finite sample size.References
MARPLE Jr., S.L. Digital Spectral Analysis with Applications. Prentice Hall, 1987.
SHIRMAN, Y.D.; MANZHOS, V.N.; LEKHOVYTSKIY, D.I. Some stages of development and problems of the radar signals resolution theory and technique. Radiotekhnika, 1997, n.1, p.31-42.
SHIRMAN, Y.D. Signal Resolution and Compression. Moscow: Sovetskoe Radio, 1974 [in Russian].
AMAR, A.; WEISS, A.J. Fundamental limitations on the resolution of deterministic signals. IEEE Trans. Signal Process., Nov. 2008, v.56, n.11, p.5309-5318, doi: http://dx.doi.org/10.1109/TSP.2008.929654.
RICHMOND, C.D. Capon algorithm mean squared error threshold SNR prediction and probability of resolution. IEEE Trans. Signal Process., Aug. 2005, v.53, n.8, p.2748-2764, doi: http://dx.doi.org/10.1109/TSP.2005.850361.
CAPON, J.; GOODMAN, N.R. Probability distributions for estimators of the frequency-wavenumber spectrum. Proc. IEEE, Oct. 1970, v.58, n.10, p.1785-1786, doi: http://dx.doi.org/10.1109/PROC.1970.8014.
LEKHOVYTSKIY, D.I.; FLEKSER, P.M. Statistical analysis of quasi-harmonic spectral estimation resolution with Capon's method. Proc. of Int. Sci. and Tech. Conf. on Modern Radiolocation, 1994, Kyiv, Ukraine. 1994, v.1, p.66-71.
LEKHOVYTSKIY, D.I.; ATAMANSKIY, D.V.; KIRILLOV, I.G. Kinds of "superresolving" space-time spectrum analyzers of random signals on the basis of whitening adaptive lattice filters. Antenny, 2000, n.2, p.40-54.