Multistatic radar analysis based on ambiguity function and Cramér-Rao lower bounds

Abstract

The primary goal of this work is to characterize the impact of weighting selection strategy and multistatic geometry on the multistatic radar performance. With the relationship between the multistatic ambiguity function (AF) and the multistatic Cramér-Rao lower bound (CRLB), the problem of calculating the multistatic AF and the multistatic CRLB as a performance metric for multistatic radar system is studied. Exactly, based on the proper selection of the system parameters, the multistatic radar performance can be significantly improved. The simulation results illustrate that the multistatic AF and the multistatic CRLB can serve as guidelines for future multistatic fusion rule development and multistatic radars deployment.

Keywords

ambiguity function (AF) / Cramér-Rao lower bound (CRLB) / multistatic radar

References

[1] ChernyakV SFundamentals of multisite radar systems. Multistatic radars and multiradar systems [M], 1998, Amsterdam, Gordon and Breach Scientific Publishers: 3-9

[2] FooP H. Combining the interacting multiple model method with particle filters for manoeuvring target tracking with a multistatic radar system [J]. IET Radar, Sonar and Navigation, 2011, 5(7): 697-706

[3] MalanowskiM, KulpaK. Two methods for target localization in multistatic passive radar [J]. IEEE Transactions on Aerospace and Electronic Systems, 2012, 48(1): 572-580

[4] BattistelliG, ChisciL, MorrocchiS, PapiF, FarinaA, GrazianoA. Robust multisensor multitarget tracker with application to passive multistatic radar tracking [J]. IEEE Transactions on Aerospace and Electronic Systems, 2012, 48(4): 3450-3472

[5] GorjiA A, TharmarasaR, KirubarajanT. Widely separated MIMO versus multistatic radars for target localization and tracking [J]. IEEE Transactions on Aerospace and Electronic Systems, 2013, 49(4): 2179-2194

[6] TengY, GriffithsH D, BakerC J, WoodbridgeK. Netted radar sensitivity and ambiguity [J]. IET Radar, Sonar and Navigation, 2007, 1(6): 479-486

[7] DerhamT, DoughtyS, BakerC, WoodbridgeK. Ambiguity functions for spatially coherent and incoherent multistatic radar [J]. IEEE Transactions on Aerospace and Electronic Systems, 2010, 46(1): 230-245

[8] BradaricI, CapraroG T, WeinerD D, WicksM C. Multistatic radar systems signal processing [C]. Proceedings of 2006 IEEE International Radar Conference, 2006, New York, IEEE: 106-113

[9] GriffithsH D, BakerC J. Measurement and analysis of ambiguity functions of passive radar transmissions [C]. Proceedings of 2005 IEEE International Radar Conference, 2005, Washington, IEEE: 321-325

[10] HassanienA, VorobyovS A, GershmanA B. Moving target parameters estimation in noncoherent MIMO radar systems [J]. IEEE Transactions on Signal Processing, 2012, 60(5): 2354-2361

[11] GogineniS, RangaswamyM, RiglingB D, NehoraiA. Cramér-Rao bounds for UMTS-based passive multistatic radar [J]. IEEE Transactions on Signal Processing, 2014, 62(1): 95-106

[12] StincoP, GrecoM, GiniF, FarinaA. Posterior Cramér-Rao lower bounds for passive bistatic radar tracking with uncertain target measurements [J]. Signal Processing, 2013, 93(12): 3528-3540

[13] DogandzicA, NehoraiA. Cramér-Rao bounds for estimating range, velocity, and direction with an active array [J]. IEEE Transactions on Signal Processing, 2011, 49(6): 1122-1137

[14] van TreesH LDetection, estimation and modulation theory [M], 2001, Hoboken, NJ, Wiley: 294-295

[15] GrecoM, StincoP, GiniF, FarinaA. Cramér-Rao bounds and selection of bistatic channels for multistatic radar systems [J]. IEEE Transactions on Aerospace and Electronic Systems, 2011, 47(4): 2934-2948

[16] RichardsM AFundamentals of radar signal processing [M], 2005, New York, McGraw-Hill Companies: 169-173

[17] SkolnikMRadar handbook [M], 1990, Columbus, OH, McGraw-Hill: 8.40-8.41

[18] TsaoT, SlamaniM, VarshneyP K, WeinerD D, SchwarzlanderH. Ambiguity function for a bistatic radar [J]. IEEE Transactions on Aerospace and Electronic Systems, 1997, 33(3): 1041-1051