Robust Localization in Distributed MIMO Radar Using Delay and Angle Measurements with Impulsive Noise Robust TD/AOA Localization in Impulsive Noise

Genling Huang,Yanlong Zhu,Ana Alejos

doi:10.1155/2021/1531234

Abstract

This paper considers target localization using time delay (TD) and angle of arrival (AOA) measurements in distributed multiple-input multiple-output (MIMO) radar. Aiming at the problem that the localization performance of existing algorithms degrades sharply in the presence of impulsive noise, we propose a novel localization algorithm based on ℓ p -norm minimization and iteratively reweighted least squares (IRLS). Firstly, the TD and AOA measurement equations are established in the presence of zero-mean symmetric α-stable noise; then, the localization problem is transformed to a ℓ p -norm minimization problem by linearizing the measurement equations; and finally, the ℓ p -norm minimization problem is solved using IRLS by which the target position estimate is obtained, and the optimal choice of norm order p is deduced. Moreover, the Cramér–Rao bound (CRB) for target position estimation in impulsive noise is also derived, generalizing the Gaussian CRB. Simulation results demonstrate that the proposed algorithm outperforms existing algorithms in terms of localization accuracy and robustness in impulsive noise.

Highlights

Multiple-input multiple-output (MIMO) radar is a new kind of sensing system, which sends mutually orthogonal waveforms from multiple transmit antennas and extracts these waveforms from each of the receive antennas by a set of matched filters. is kind of radar system has an enlarged virtual receive aperture and a finer spatial resolution compared with the conventional radar systems [1]
Time delay (TD) and angle of arrival (AOA) are commonly used types of measurements for target localization in distributed MIMO radar. e TD measurement traces out an ellipsoidal surface for the possible target positions with foci located at the transmit and receive antennas. e AOA measurement induces a line from the receive antenna to the target. eoretically, the target position can be estimated as the intersection of the lines and ellipsoids corresponding to the TD and AOA measurements
Motivated by the above facts, we investigate in this paper the problem of target localization in distributed MIMO radar using TD and AOA measurements with impulsive noise

Summary

Introduction

Multiple-input multiple-output (MIMO) radar is a new kind of sensing system, which sends mutually orthogonal waveforms from multiple transmit antennas and extracts these waveforms from each of the receive antennas by a set of matched filters. is kind of radar system has an enlarged virtual receive aperture and a finer spatial resolution compared with the conventional radar systems [1]. Amiri et al developed a different algebraic solution in [10] which uses the AOA measurements to linearize the TD measurement equations and identifies the target position in only one WLS stage Both Noroozi’s algorithm and Amiri’s algorithm are shown analytically and confirmed by numerical simulations to attain the Cramer–Rao bound (CRB) under small measurement noise conditions. There is yet a need for developing a robust algorithm for target localization in distributed MIMO radar using TD and AOA measurements with impulsive noise. On the other hand, when the TD/AOA measurement noise is α-stable distributed, existing algorithms based on the Gaussian noise assumption and LS approach will produce unreliable estimate since impulsive noise has no second-order moments.

Problem Formulation

Proposed Algorithm

Cramer–Rao Bound for Impulsive Noise

Conclusions