Quaternion-MUSIC for near-field strictly noncircular sources with large-scale polarization array

Wang, Weifeng; Chen, Hua; Jin, Jie; Wang, Xianpeng; Wan, Liangtian; Zhang, Xiaowei

doi:10.1016/j.dsp.2019.06.005

Cited by 14 publications

(7 citation statements)

References 28 publications

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“…Then, we introduce an important theorem of quaternion matrix used in our proposed algorithm. Given a square quaternion matrix B ∈ H M ×M , the eigenvalue decomposition of its adjoint matrix B σ can be expressed as [4]:…”

Section: Quaternionsmentioning

confidence: 99%

“…As such it has many applications in radar, sonar, wireless communications, etc. [1][2][3][4]. A large number of works have been conducted by extending the classical scalar array processing techniques to the vectorsensor case, such as MUSIC-like [5,6] and ESPRIT-like [7,8] methods dealing with multi-components of vector sensor array with different configurations.…”

Section: Introductionmentioning

confidence: 99%

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Augmented Quaternion Music Method for a Uniform/Sparse Cold Array

Jiang¹,

Zhang²,

Chen³

et al. 2021

PIER Letters

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The quaternion multiple signal classification (Q-MUSIC) algorithm reduces the dimension of covariance matrix, which would result in performance degrading of DOA estimation. An augmented quaternion MUSIC algorithm (AQ-MUSIC) based on concentered orthogonal loop and dipole (COLD) array is presented in this paper. The proposed algorithm uses an augmented quaternion formalism to model the completely polarized signals, which allows a concise and novel way to an augmented covariance matrix. The fact reveals that more accurate DOA parameters could be extracted from an augmented covariance matrix. Even compared with the long vector MUSIC (LV-MUSIC) algorithm whose dimension of covariance matrix is the same as AQ-MUSIC, the accuracy of DOA parameter estimation is also improved. Simulation results verify the performance promotion of the proposed approach.

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Section: Quaternionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Augmented Quaternion Music Method for a Uniform/Sparse Cold Array

Jiang¹,

Zhang²,

Chen³

et al. 2021

PIER Letters

Self Cite

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“…Although several properties of complex numbers can be extended to quaternions directly, there are still some unique properties which will be used in this paper [14][15][16]:…”

Section: Basics Of Quaternionsmentioning

confidence: 99%

Augmented Quaternion ESPRIT-Type DOA Estimation With a Crossed-Dipole Array

2020

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“…Therefore, the performance of DOA and range estimation can be improved by using the covariance matrix and conjugate covariance matrix of non-circular signals. And several excellent methods have been reported for the NF noncircular signals [18][19][20][21][22][23]. Further, to make use of both the polarization and noncircular characteristic of the NF signals, a two stages subspace method [22] was presented by transforming the array observations into the real-valued vectors.…”

Section: Introductionmentioning

confidence: 99%

“…Further, to make use of both the polarization and noncircular characteristic of the NF signals, a two stages subspace method [22] was presented by transforming the array observations into the real-valued vectors. To enhance the orthogonality of MUSIC method with exploiting the additional constraint in quaternion domain, the quaternion dimension-reduced (QDR) algorithm and the quaternion non-circular (QNC) were proposed in [23] for NF signals, which unfortunately reduce the dimension of quaternion covariance matrix. As the fact that the parameter estimation accuracy of the subspace methods mainly depends on the dimension of the noise subspace of the covariance matrix, the method in [23] may bring about a degraded performance.…”

Section: Introductionmentioning

confidence: 99%

Augmented Quaternion MUSIC Method for Near-Field Noncircular Sources With a COLD Array

et al. 2020

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Based on the quaternion theory, a novel algorithm named non-circular augmented quaternion MUSIC (NCAQ-MUSIC) is proposed for DOA and range estimation of noncircular signals impinging on a concentered orthogonal loop and dipole (COLD) array. Firstly, based on the augmented quaternion, the proposed algorithm uses the noncircular characteristic of the signals to achieve the virtual array expansion; secondly, the DOA and range parameters can be completely separated in the principle of rank reduction, and finally, the parameters of DOA and range are estimated through one dimensional search. Compared with direct mutil-dimensional (M-D) searching algorithms, the proposed method merely requires several one-dimension (1-D) spectral peak search which does not need parameter pairing. Simulation results verify the performance promotion of the proposed approach.

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Quaternion-MUSIC for near-field strictly noncircular sources with large-scale polarization array

Cited by 14 publications

References 28 publications

Augmented Quaternion Music Method for a Uniform/Sparse Cold Array

Augmented Quaternion Music Method for a Uniform/Sparse Cold Array

Augmented Quaternion ESPRIT-Type DOA Estimation With a Crossed-Dipole Array

Augmented Quaternion MUSIC Method for Near-Field Noncircular Sources With a COLD Array

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