Abstract

As a new radar system, FDA-MIMO radar has recently developed rapidly, as it has broad prospects in angle-range estimation. Unfortunately, the performance of existing algorithms for FDA-MIMO radar is greatly degrading or even failing under the condition of array gain-phase error. This paper proposes an innovative solution to the joint angle and range estimation of FDA-MIMO radar under the condition of array gain-phase error and an estimation algorithm is developed. Moreover, the corresponding Cramér-Rao bound (CRB) is derived to evaluate the algorithm. The parallel factor (PARAFAC) decomposition technique can be utilized to calculate transmitter and receiver direction matrices. Taking advantage of receiver direction matrix, the angle estimation can be obtained. The range estimation can be estimated by transmitter direction matrix and angle estimation. To eliminate the error accumulation effect of array gain-phase error, the gain error and phase error are obtained separately. In this algorithm, the impact of gain-phase error on parameter estimation is removed and so is the error accumulation effect. Therefore, the proposed algorithm can provide excellent performance of angle-range and gain-phase error estimation. Numerical experiments prove the validity and advantages of the proposed method.

Highlights

  • It is worth mentioning that the estimating signal parameters via rotation invariance technique (ESPRIT)-based algorithm and Li’s method are for Multiple input Multiple output (MIMO) radar

  • A tensor-based joint angle-range estimation scheme is proposed for FDAMIMO radar under the condition of gain-phase error

  • The Cramér-Rao bound (CRB) is derived for angle-range estimation and gain-phase error estimation in frequency diversity array (FDA)-MIMO radar

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Summary

Introduction

Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. In this paper, aiming at the angle-range estimation problem of FDA-MIMO radar under the condition of gain-phase error, a high performance estimation algorithm is developed. The proposed algorithm takes advantage of the special properties of FDA-MIMO radar transmitting array and the angle estimation to achieve the range estimation. The proposed algorithm solves the joint angle-range estimation problem of FDAMIMO radar with array gain-phase error. A tensor-based estimation scheme that can provide superior estimation performance is developed; In this paper, an gain-phase error estimation method that can eliminate the influence of error accumulation is presented. The proposed algorithm can obtain more accurate gain-phase error estimation; In this paper, the Cramer-Rao bound (CRB) is derived for angle and range estimation and gain-phase error estimation in FDA-MIMO radar with array gain-phase error Hadamard product point division a diagonal matrix with the nth row of A the phase of array elements the real part for each element of the array Frobenius norm (·)T (·) H (·)−1

Tensor-Based Data Model
Direction Matrix Estimation
The Angle Estimation
The Range Estimation
The Gain Error Estimation
The Phase Error Estimation
Simulation Results
Conclusions
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