Abstract

In the paper, the estimation of joint direction-of-departure (DOD) and direction-of-arrival (DOA) for strictly noncircular targets in multiple-input multiple-output (MIMO) radar with unknown mutual coupling is considered, and a tensor-based angle estimation method is proposed. In the proposed method, making use of the banded symmetric Toeplitz structure of the mutual coupling matrix, the influence of the unknown mutual coupling is removed in the tensor domain. Then, a special enhancement tensor is formulated to capture both the noncircularity and inherent multidimensional structure of strictly noncircular signals. After that, the higher-order singular value decomposition (HOSVD) technology is applied for estimating the tensor-based signal subspace. Finally, the direction-of-departure (DOD) and direction-of-arrival (DOA) estimation is obtained by utilizing the rotational invariance technique. Due to the use of both noncircularity and multidimensional structure of the detected signal, the algorithm in this paper has better angle estimation performance than other subspace-based algorithms. The experiment results verify that the method proposed has better angle estimation performance.

Highlights

  • Since the concept of multiple-input and multiple-output (MIMO) radar has been proposed in recent years, it has drawn a great attention of scholars in the field of radar research [1,2].Since the multiple-input multiple-output (MIMO) radar transmits the orthogonal waveform and has different arrangement of transmit-receive array, MIMO radar can obtain both spatial diversity and waveform diversity at the same time [3]

  • We develop a tensor-based angle estimation scheme for strictly noncircular sources in the presence of unknown mutual coupling in bistatic MIMO radar

  • Consider a narrowband bistatic MIMO radar, which consists of an M-element transmit array and an N-element receive array, both of which are composed of half-wavelength spaced uniform linear arrays (ULAs)

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Summary

Introduction

Since the concept of multiple-input and multiple-output (MIMO) radar has been proposed in recent years, it has drawn a great attention of scholars in the field of radar research [1,2]. To remove the process of the spatial spectral searching, the estimation method of signal parameter via rotational invariance techniques (ESPRIT) is utilized to estimate the angles of targets in MIMO radar [10] This method achieves the rotation invariance features for estimating DOD and DOA by dividing the virtual array into different subarrays, but this method cannot realize the automatic pairing between the transmit and receive angles. We develop a tensor-based angle estimation scheme for strictly noncircular sources in the presence of unknown mutual coupling in bistatic MIMO radar This method takes the multidimensional structure of the signals into account, and uses the noncircular characteristics of the signals. Due to the exploitation of inherent multidimensional structure and enlarged array aperture, the proposed method has better angle estimation performance than other algorithms in the presence of mutual coupling. Is the diagonalization operation, and Toeplitz(r) means the symmetric Toeplitz matrix constructed by the vector r. vec(·) indicates the vectorization operation. arg(γ) represents the phase of γ, IK denotes a K × K identity matrix, 0 L×K is the L × K zero matrix, and ΓK represents a matrix with ones on its anti-diagonal and zeros elsewhere

Tensor Basic Concepts
Tensor-Based Signal Model
Mutual Coupling Elimination
Tensor Augmentation and Signal Subspace Estimation
Joint DOD and DOA Estimation
Related Remarks
Computation Complexity
Simulation Results
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Conclusions
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