An improved DOA estimation algorithm for circular and non-circular signals with high resolution

Wan, Liangtian; Xie, Lihua

doi:10.1109/icassp.2016.7472238

Cited by 5 publications

(2 citation statements)

References 16 publications

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“…Te K maxima referring to source DoAs can be obtained by the two-dimensional spectral search. It is observed that although the 2D-NC-MUSIC algorithm can extend the effective array aperture and greatly improve the resolution of the DoA estimation, the expensive computation cost of twodimension spectral search limits the practical application of the 2D-NC-MUSIC algorithm in the high-real-time processing scenarios [30][31][32].…”

Section: D-nc-music Algorithmmentioning

confidence: 99%

A Low-Complexity Direction-of-Arrival Estimation Algorithm for Noncircular Signals via Subspace Rotation Technique

Wang

Zhang

Yao

et al. 2023

International Journal of Antennas and Propagation

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In this paper, we investigate the problem of the heavy computational burden of the direction-of-arrival (DoA) estimation for the noncircular (NC) signals. A novel low-complexity direction-of-arrival estimation algorithm for NC signals via subspace rotation technique (SRT) is proposed. The proposed algorithm divides the noise subspace matrix along its row direction into two submatrices, and the SRT is performed to get a new reduced-dimension noise subspace. Then, utilizing the separation of variables and the orthogonality between the reduced-dimension noise subspace and the space spanned by the columns of the extended manifold matrix, a new one-dimensional spectral search function is derived to estimate DoAs. As the size of the block matrices of the noise subspace matrix has a great impact on the computational complexity of the spectral search, the optimal number of rows of the block matrices is determined. The proposed algorithm not only avoids the two-dimensional spectral search but also efficiently removes the redundancy computations in the one-dimensional spectral search. Theoretical analysis and simulation results show that the proposed algorithm can significantly improve the computational efficiency on the premise of ensuring the accuracy of DoA estimation for the NC signals, especially in scenarios where large numbers of sensors are applied.

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Section: D-nc-music Algorithmmentioning

confidence: 99%

A Low-Complexity Direction-of-Arrival Estimation Algorithm for Noncircular Signals via Subspace Rotation Technique

Wang

Zhang

Yao

et al. 2023

International Journal of Antennas and Propagation

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“…Q far-field, narrowband, uncorrelated and NC sources impinge on this array from directions

. The NC sources in the paper are assumed as wide-sense quasi-stationary [ 32 , 33 ] with the NC rate as

[ 13 , 34 ]. Then, the received signal can be modeled as

where

is the observed signal vector,

represents the white circular complex Gaussian noise vector with zero mean and variance

, and

is the steering matrix.…”

Section: Data Modelmentioning

confidence: 99%

A Novel Noncircular MUSIC Algorithm Based on the Concept of the Difference and Sum Coarray

Chen

Ding

Ren

et al. 2018

Sensors

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In this paper, we propose a vectorized noncircular MUSIC (VNCM) algorithm based on the concept of the coarray, which can construct the difference and sum (diff–sum) coarray, for direction finding of the noncircular (NC) quasi-stationary sources. Utilizing both the NC property and the concept of the Khatri–Rao product, the proposed method can be applied to not only the ULA but also sparse arrays. In addition, we utilize the quasi-stationary characteristic instead of the spatial smoothing method to solve the coherent issue generated by the Khatri–Rao product operation so that the available degree of freedom (DOF) of the constructed virtual array will not be reduced by half. Compared with the traditional NC virtual array obtained in the NC MUSIC method, the diff–sum coarray achieves a higher number of DOFs as it comprises both the difference set and the sum set. Due to the complementarity between the difference set and the sum set for the coprime array, we choose the coprime array with multiperiod subarrays (CAMpS) as the array model and summarize the properties of the corresponding diff–sum coarray. Furthermore, we develop a diff–sum coprime array with multiperiod subarrays (DsCAMpS) whose diff–sum coarray has a higher DOF. Simulation results validate the effectiveness of the proposed method and the high DOF of the diff–sum coarray.

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Polarization Channel Estimation for Circular and Non-Circular Signals in Massive MIMO Systems

Wang

Wan

Huang

et al. 2019

IEEE J. Sel. Top. Signal Process.

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113

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In this paper, an algorithm of multiple signal classification (MUSIC) is proposed for two-dimensional (2-D) directionof-arrival (DOA) and polarization estimation of non-circular signal in three-dimensional (3-D) millimeter wave polarized largescale/massive multiple-input-multiple-output (MIMO) systems. The traditional MUSIC-based algorithms can estimate either the DOA and polarization for circular signal or the DOA for non-circular signal by using spectrum search. By contrast, in the proposed algorithm only the DOA estimation needs spectrum search, and the polarization estimation has a closedform expression. First, a novel dimension-reduced MUSIC (DR-MUSIC) is proposed for DOA and polarization estimation of circular signal with low computational complexity. Next, based on the quaternion theory, a novel algorithm named quaternion non-circular MUSIC (QNC-MUSIC) is proposed for parameter estimation of non-circular signal with high estimation accuracy. Then based on the DOA estimation result using QNC-MUSIC, the polarization estimation of non-circular signal is acquired by using the closed-form expression of the polarization estimation in DR-MUSIC. In addition, the computational complexity analysis shows that compared with the conventional DOA and polarization estimation algorithms, our proposed QNC-MUSIC and DR-MUSIC have much lower computational complexity, especially when the source number is large. The stochastic Cramér-Rao Bound (CRB) for the estimation of the 2-D DOA and polarization parameters of the non-circular signals is derived as well. Finally, numerical examples are provided to demonstrate that the proposed algorithms can improve the parameter estimation performance when the large-scale/massive MIMO systems are employed.Index Terms-Direction-of-arrival (DOA) and polarization estimation, polarized large-scale/massive multiple-input-multipleoutput (LS-MIMO/massive MIMO), three-dimensional (3-D) millimeter wave communication, circular and non-circular signals, quaternion.

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An improved DOA estimation algorithm for circular and non-circular signals with high resolution

Cited by 5 publications

References 16 publications

A Low-Complexity Direction-of-Arrival Estimation Algorithm for Noncircular Signals via Subspace Rotation Technique

A Low-Complexity Direction-of-Arrival Estimation Algorithm for Noncircular Signals via Subspace Rotation Technique

A Novel Noncircular MUSIC Algorithm Based on the Concept of the Difference and Sum Coarray

Polarization Channel Estimation for Circular and Non-Circular Signals in Massive MIMO Systems

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