Estimation of continuous energy spectra of random echoes in coherent pulse radar
DOI:
https://doi.org/10.1109/ICATT.2013.6650764Keywords:
continuous energy spectrum, statistical analysis, accuracy of spectral estimation, integral criterion, adaptive lattice filterAbstract
The article presents results of comparative study of different methods for estimation of continuous energy spectra of random returns in coherent pulse radars. We analyze these methods’ “extreme” capabilities on reconstruction of continuous spectra under hypothetic conditions of known statistical characteristics of input signals. We investigate also spectral estimation methods’ “real” capabilities under real-world operational conditions with parametric a priori uncertainty and small-size samples being used to estimate a priori unknown parameters of reflections. The causes of known drawbacks of classical (nonparametric) spectral estimation (SE) methods are discussed. Then we consider parametric SE methods, sources of their drawbacks and ways to overcome them.References
STOICA, P.; MOSES, R.L. Introduction to Spectral Analysis. Prentice Hall, 1997.
JENKINS, G.M.; WATTS, D.G. Spectral Analysis and Its Applications. Holden-Day, 1969.
LEKHOVYTSKIY, D.I.; ZHUGA, G.A.; VOVSHIN, B.M.; LAURUKEVICH, U.U. Meteorological information extraction based on spectral and correlation analysis of reflections in pulse Doppler weather radars. Applied Radio Electronics, 2007, v.6, n.4, p.491-510.
FRIEDLANDER, B.; PORAT, B. A general lower bound for parametric spectrum estimation. IEEE Trans. Acoust., Speech, Signal Process., 1984, v.32, n.4, p.728-733, doi: http://dx.doi.org/10.1109/TASSP.1984.1164392.
LEKHOVYTSKIY, D.I.; RACHKOV, D.S.; SEMENIAKA, A.V.; ATAMANSKIY, D.V. On methods for estimation of random processes spectra. Applied Radio Electronics, 2013, v.12, n.1, p.64-71.
LEKHOVYTSKIY, D.I.; SHIFRIN, Y.S. Statistical analysis of "superresolving" methods for direction-of-arrival estimation of noise radiation sources under finite size of training sample. Signal Processing, 2013, v.93, n.12, p.3382-3399, doi: http://dx.doi.org/10.1016/j.sigpro.2013.03.008.
LEKHOVYTSKIY, D.I.; RACHKOV, D.S.; SEMENIAKA, A.V.; RYABUKHA, V.P.; ATAMANSKIY, D.V. Adaptive lattice filters. Part II. Algorithms for ALF adjustment. Applied Radio Electronics, 2011, v.10, n.4, p.405-418.
ABRAMOVICH, Y.I.; SPENCER, N.K.; TURLEY, M.D.E. Order estimation and discrimination between stationary and time-varying (TVAR) autoregressive models. IEEE Trans. Signal Process., 2007, v.55, n.6, p.2861-2876, doi: http://dx.doi.org/10.1109/TSP.2007.893966.
