Improved Current Decomposition in Helical Antennas Using the Esprit Algorithm

Li, Yang; Líu, Hao

doi:10.2528/pier10052811

Cited by 11 publications

(6 citation statements)

References 14 publications

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“…The performances of the mentioned methods are measured by estimated root-mean-square error (RMSE) [23,24] of 500 independent Monte Carlo experiments [25,26]. The snapshots number is 600, and elevation and azimuth angles are 45 • and 120 • , respectively.…”

Section: Simulationsmentioning

confidence: 99%

Two-Dimensional Angles Estimation Method and Its Improved Methods for Single Source With a Sparse Array

Jiang¹,

Duan²,

Li³

et al. 2014

PIER C

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Abstract-Based on two orthogonal linear sparse arrays (LSA) which consist of the coupled-sensors (CSs), a high resolution and no ambiguity (HRNA) method is proposed to estimate the two-dimensional (2D) angles of single source. The HRNA method first constructs a new covariance matrix to achieve no ambiguity independent angles estimation by using the covariance matrix generated by each LSA, and then computes joint elevation and azimuth angles by utilizing both the estimated independent angles and triangular relationship. For large array aperture of the LSA, the HRNA method earns a high angle resolution; however, its independent angles estimation accuracy is slightly lower than the multiple signal classification (MUSIC) with a uniform linear array (ULA). In order to enhance the independent angle estimation performance, first improved HRNA (FI-HRNA) method is developed based on the HRNA and MUSIC methods. Further, in order to decrease the computational cost, second improved HRNA (SI-HRNA) method is presented based on FI-HRNA and MUSIC methods. The proposed SI-HRNA method obtains high angle resolution, high angle estimation accuracy and low computational load. In addition, the spacing between two adjacent CSs is not limited, and thus the angle resolution and estimation accuracy can be set according to practical demand. Numerical experiment and comparison with the other existing algorithms verify the effectiveness and superior performance of the method proposed in this paper.

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Section: Simulationsmentioning

confidence: 99%

Two-Dimensional Angles Estimation Method and Its Improved Methods for Single Source With a Sparse Array

Jiang¹,

Duan²,

Li³

et al. 2014

PIER C

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show abstract

“…In the following each experiment, the performances of all mentioned algorithms are measured by the estimated root-meansquare error (RMSE) [28,29] of 500 independent Monte Carlo [30,31] experiments. For comparison, when estimating the elevation angle and range parameters, we simultaneously execute 1-DML algorithm.…”

Section: Simulations and Experimentsmentioning

confidence: 99%

Three-Dimensional Localization Algorithm for Mixed Near-Field and Far-Field Sources Based on Esprit and Music Method

Jiang¹,

Duan²,

Chen³

2013

PIER

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Abstract-A three-dimensional (3-D) source localization algorithm of joint elevation, azimuth angles and range estimation for the mixed near-field (NF) and far-field (FF) sources is presented in this paper. We first estimate the elevation angles of all mixed sources by using the generalized ESPRIT method. With the elevation angle estimates, the range parameters of all mixed sources are obtained, and then both the NF and FF sources are distinguished. Finally, with the elevation angle and range estimates, the azimuth angles of all mixed sources are acquired based on the conventional high-resolution MUSIC method. The proposed algorithm avoids parameter match operation, and requires neither a multidimensional search nor high-order statistics (HOS). Simulation and experiment results show the performance of the proposed algorithm in this paper.

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“…[1]. For the 1D and 2D angles estimation of the far-field (FF) sources, many algorithms [2][3][4][5][6][7][8][9][10][11] have been proposed. However, when a source is in the Fresnel region of the array aperture [2][3][4][5], those algorithms in [2][3][4][5][6][7][8][9][10][11] will fail to locate sources.…”

Section: Introductionmentioning

confidence: 99%

“…For the 1D and 2D angles estimation of the far-field (FF) sources, many algorithms [2][3][4][5][6][7][8][9][10][11] have been proposed. However, when a source is in the Fresnel region of the array aperture [2][3][4][5], those algorithms in [2][3][4][5][6][7][8][9][10][11] will fail to locate sources. Therefore, for the NF source localization issue, some other algorithms [12][13][14][15][16][17][18][19][20][21][22][23][24][25] are also developed.…”

Section: Introductionmentioning

confidence: 99%

Localization of 3d Near-Field Source Using the Aperture Extension Method and Nonuniform Cross Array

Jiang¹,

Duan²,

Li³

et al. 2013

PIER B

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Abstract-Depending on the aperture extension (AE), a high performance three-dimensional (3D) near-field (NF) source localization algorithm is proposed with the nonuniform linear array (NLA). The proposed algorithm first generates some fictitious sensors to extend the array aperture by constructing a new Toeplitz matrix, and then obtains a two-dimensional (2D) covariance matrix which only contains the elevation angle and range parameters, and another 3D covariance matrix which contains the elevation/azimuth angle and range parameters. Then based on the 2D covariance matrix, both the elevation angle and range parameters are estimated by using the NLA along the Z axis. With the estimates of both the elevation angle and range parameters and combining the 3D covariance matrix, the estimates of the azimuth angle parameters are obtained using the NLA along the Y axis. The proposed algorithm has four main merits: i) unlike some classical NF source localization algorithms, the quarter-wavelength sensor spacing constraint is not required and more sources can be located simultaneously by the proposed algorithm; ii) the 3D parameters of the proposed algorithm are paired automatically; iii) the 3D search required in conventional 3D multiple signal classification (MUSIC) algorithm is replaced with only one-dimensional (1D) search, and thus the computational burden is reduced; iv) the proposed algorithm gains superior parameter estimation accuracy and resolution.

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Improved Current Decomposition in Helical Antennas Using the Esprit Algorithm

Cited by 11 publications

References 14 publications

Two-Dimensional Angles Estimation Method and Its Improved Methods for Single Source With a Sparse Array

Two-Dimensional Angles Estimation Method and Its Improved Methods for Single Source With a Sparse Array

Three-Dimensional Localization Algorithm for Mixed Near-Field and Far-Field Sources Based on Esprit and Music Method

Localization of 3d Near-Field Source Using the Aperture Extension Method and Nonuniform Cross Array

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