WL-MVDR Based Effective Beamforming for Noncircular Signals Using Conjugate Symmetry 


Vol. 47,  No. 5, pp. 721-730, May  2022
10.7840/kics.2022.47.5.721


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  Abstract

When the arrival angle of the desired signal is known the MVDR (minimum variance distortionless response) beamforming method finds the weigh vector to minimize the array output power under the constraint of the unit beam gain in the arrival direction. If the signals incident into a sensor array are noncircular the performance can be improved by employing a WL (widely linear) scheme, in which the array output is obtained from an extended vector formed by concatenating the received vector and its complex conjugate version. The extended vector is of conjugate symmetry. This paper presents a WL-MVDR based effective beamforming method when the incoming signals are strictly noncircular. The sample matrix for the extended received vector can be transformed into a real matrix with the use of the conjugate symmetry, which allows us to efficiently obtain the eigen-decomposition of it. The arrival angles of the incident signals and the phases of the noncircularity coefficients are estimated by NC-MUSIC (noncircular multiple signal classification). Simulation results demonstrate that the proposed method has superior SINR (signal-to-interference-plus-noise ratio) performance than existing ones, showing the robustness against the beam pointing error.

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  Cite this article

[IEEE Style]

Y. Choi, "WL-MVDR Based Effective Beamforming for Noncircular Signals Using Conjugate Symmetry," The Journal of Korean Institute of Communications and Information Sciences, vol. 47, no. 5, pp. 721-730, 2022. DOI: 10.7840/kics.2022.47.5.721.

[ACM Style]

Yang-Ho Choi. 2022. WL-MVDR Based Effective Beamforming for Noncircular Signals Using Conjugate Symmetry. The Journal of Korean Institute of Communications and Information Sciences, 47, 5, (2022), 721-730. DOI: 10.7840/kics.2022.47.5.721.

[KICS Style]

Yang-Ho Choi, "WL-MVDR Based Effective Beamforming for Noncircular Signals Using Conjugate Symmetry," The Journal of Korean Institute of Communications and Information Sciences, vol. 47, no. 5, pp. 721-730, 5. 2022. (https://doi.org/10.7840/kics.2022.47.5.721)

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pISSN : 1226 - 4717
eISSN : 2287 - 3880