Joint Angle and Array Gain-Phase Errors Estimation Using PM-like Algorithm for Bistatic MIMO Radar
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Joint Angle and Array Gain-Phase Errors Estimation Using PM-like Algorithm for Bistatic MIMO Radar Chen Chen · Xiaofei Zhang
Received: 8 March 2012 / Revised: 17 September 2012 / Published online: 6 October 2012 © Springer Science+Business Media New York 2012
Abstract This paper discusses the problem of the direction of departure (DOD) and the direction of arrival (DOA) estimation for multi-input multi-output (MIMO) radar with array gain-phase errors. In this paper, we propose a propagator method (PM)like algorithm for joint angle and array gain-phase errors estimation in MIMO radar. The proposed method not only yields automatically paired estimates of the angles and gain-phase errors but also has much better gain-phase errors estimation performance than the estimation of signal parameters via rotational invariance techniques (ESPRIT)-like algorithm; this has higher computational cost than the proposed algorithm. Furthermore, the proposed algorithm has angle estimation performance very close to ESPRIT-like algorithm. We also derive the Cramér–Rao bound (CRB) for MIMO radar with array gain-phase errors. Simulation results present the usefulness of our approach. Keywords MIMO radar · Array gain-phase errors · PM-like · DOD · DOA
1 Introduction Multi-input multi-output (MIMO) radars, which utilize multiple antennas to simultaneously transmit diverse waveforms and receive reflected signals in similar ways, C. Chen () · X. Zhang College of Electronic and Information Engineering, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, China e-mail: [email protected] X. Zhang e-mail: [email protected] X. Zhang Nanjing Panda Electronics Group, Nanjing 210002, China
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Circuits Syst Signal Process (2013) 32:1293–1311
have the potential advantages over conventional phased-array radar [6, 9]. The direction of departure (DOD) and direction of arrival (DOA) have been recently investigated in [1, 3, 4, 7, 8, 16, 18, 19]. The multiple signal classification (MUSIC) algorithm has been discussed in [4, 16], which requires a spectral peak searching with high computation cost, while estimation method of signal parameters via rotational invariance techniques (ESPRIT) algorithm [1, 3, 7], which exploits the invariance property for angle estimation in MIMO radar, does not require the spectral peak searching. ESPRIT, however, requires the construction of a covariance matrix of the receive signal as well as its eigen-decomposition. In [8, 19], propagator method (PM) algorithm was employed for DOD and DOA estimation in MIMO radar, which does not require eigen-decomposition of covariance matrix of the received signal. Because of this, PM algorithm has lower computational complexity than ESPRIT. Besides, the angle estimation performance of PM algorithm is very close to that of ESPRIT in high signal to noise ratio (SNR). Reference [18] proposed a trilinear alternating least square (TALS) algorithm to estimate DOD and DOA in MIMO radar without additional pair matching, which has better angle estimation performance than tradit
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