Biquaternion Capon beamformer using four-component vector-sensor arrays

Gou, Xiaoming; Liu, Zhiwen; Xu, Yougen; Gong, Xiaofeng

doi:10.1504/ijsnet.2015.072864

Cited by 5 publications

(11 citation statements)

References 19 publications

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“…Thus, t a and t b can be changed into more general forms as t a =[e 1 e 2 e 3 ] = U a i j k T and t b = [e 4 e 5 e 6 ] = U b i j k T , where U a and U b are any 3 × 3 real orthogonal matrix. By directly calculation, one can easily verify that (19) is still hold for these chosen t a and t b . The differences are that the last three terms in (19) will be changed with the different T in (24).…”

Section: Robustness To Coherent Noise Componentsmentioning

confidence: 98%

“…When R is a general complex or real matrix, R b is a biquaternion or quaternion number. Moreover, if R is the covariance matrix of a three dimensional random noise vector, R will be mapped into a real number equaling to the sum of the three variance items of R, while the covariance items are canceled out by (19). From this point, the mapping in (19) can naturally whiten the coherence among a three-component random noise vector.…”

Section: Robustness To Coherent Noise Componentsmentioning

confidence: 99%

“…is a quaternion number. Based on (19), one can conclude that 1. The noise variance sums of three short dipoles or small loops are represented by R bn m, n = 1 3 tR n m, n t ∈ R, in which their covariance items are canceled out.…”

Section: Robustness To Coherent Noise Componentsmentioning

confidence: 99%

“…It should be mentioned that there are many different transformation matrices yielding the equivalent results as (19). In order to explain such a point, let us change the transformation matrix in (21) into the following forms as…”

Section: Robustness To Coherent Noise Componentsmentioning

confidence: 99%

“…It is, however, kept unknown how to use it for array processing applications. On the other hand, The biquaternion Capon beamformer was proposed in [18] and [19], but they cannot estimate the polarization angles of a source.…”

Section: Introductionmentioning

confidence: 99%

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Biquaternion beamspace with its application to vector-sensor array direction findings and polarization estimations

Jiang

et al. 2017

EURASIP J. Adv. Signal Process.

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In this paper, a biquaternion beamspace, constructed by projecting the original data of an electromagnetic vector-sensor array into a subspace of a lower dimension via a quaternion transformation matrix, is first proposed. To estimate the direction and polarization angles of sources, biquaternion beamspace multiple signal classification (BB-MUSIC) estimators are then formulated. The analytical results show that the biquaternion beamspaces offer us some additional degrees of freedom to simultaneously achieve three goals. One is to save the memory spaces for storing the data covariance matrix and reduce the computation efforts of the eigen-decomposition. Another is to decouple the estimations of the sources' polarization parameters from those of their direction angles. The other is to blindly whiten the coherent noise of the six constituent antennas in each vector-sensor. It is also shown that the existing biquaternion multiple signal classification (BQ-MUSIC) estimator is a specific case of our BB-MUSIC ones. The simulation results verify the correctness and effectiveness of the analytical ones.

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Section: Robustness To Coherent Noise Componentsmentioning

confidence: 98%

Section: Robustness To Coherent Noise Componentsmentioning

confidence: 99%

Section: Robustness To Coherent Noise Componentsmentioning

confidence: 99%

Section: Robustness To Coherent Noise Componentsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Biquaternion beamspace with its application to vector-sensor array direction findings and polarization estimations

Jiang

et al. 2017

EURASIP J. Adv. Signal Process.

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Joint estimation of DOA and polarisation for radar signals based on dual‐polarised antenna array

Zhu

He³

et al. 2020

IET Microwaves, Antennas & Propagation

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To apply polarisation information of radar signal in radar reconnaissance equipment, a joint estimation algorithm of the radar signal direction of arrival (DOA) and polarisation parameters based on dual‐polarisation antenna array has been researched in this study. The mathematical model of dual‐polarised circular array has been given, and the joint estimation method of DOA and polarisation parameters for radar signal based on multiple signal classification (MUSIC) algorithm has been analysed. To overcome the shortcomings such as high calculation cost for the MUSIC algorithm, the DOA‐matrix algorithm has been presented. DOA‐matrix algorithm can effectively distinguish the radar signals with different polarisation states in the same direction by use of eigen‐decomposition of the DOA‐matrix. Through matrix correlation calculation, spectral peak search has been avoided, and the computational cost and algorithm complexity are greatly reduced. Finally, the feasibility of the DOA‐matrix algorithm has been simulated and analysed. The simulation results show that the DOA‐matrix algorithm can effectively complete the joint estimation of DOA and polarisation parameters for radar signal. The running time reaches millisecond level, which has a strong application value in engineering.

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Diversely polarised antenna‐array‐based narrowband/wideband beamforming via polarisational reconstruction matrix inversion

Lü

Huang

et al. 2018

IET signal process.

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The problem of beamforming using diversely polarised antenna array is addressed in the study. With the attempt to avoid signal cancellation caused by very small snapshot number, and/or look direction error and/or polarisation mismatch, the polarisational reconstruction matrix inversion based beamformer is developed for both the narrowband and wideband cases. The major contribution is on the reconstruction of the narrowband case interference-plus-noise covariance matrix and wideband case focused interference-plus-noise covariance matrix, for the cases of both completely polarised and partially or randomly polarised interferences, by the rank-1 and rank-2 spatial spectrum techniques, respectively. The performance of the proposed beamformer, against small snapshot number, look direction error, polarisation mismatch, and focusing error, was evaluated by extensive simulations, and compared with the polarisational extensions of some existing popular polarisation insensitive beamformers, in terms of the output signal-to-interference-plus-noise ratio values and the experimental deviation of the signalof-interest (SOI) estimate. The influences of direction difference between SOI and interference, degrees of polarisation of SOI and interference, and integrating range for reconstruction on beamforming performance are also studied.

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Biquaternion Capon beamformer using four-component vector-sensor arrays

Cited by 5 publications

References 19 publications

Biquaternion beamspace with its application to vector-sensor array direction findings and polarization estimations

Biquaternion beamspace with its application to vector-sensor array direction findings and polarization estimations

Joint estimation of DOA and polarisation for radar signals based on dual‐polarised antenna array

Diversely polarised antenna‐array‐based narrowband/wideband beamforming via polarisational reconstruction matrix inversion

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