A Two-Stage Nonlinear Shrinkage of the Sample Covariance Matrix for Robust Capon Beamforming

WANG Jie; YANG Guangquan; HU Yi; ZHANG Chunliang

doi:10.1049/cje.2019.06.016

Volume 28 Issue 5

Turn off MathJax

Article Contents

Article Navigation > Chinese Journal of Electronics > 2019 > 28(5): 962-967

WANG Jie, YANG Guangquan, HU Yi, et al., “A Two-Stage Nonlinear Shrinkage of the Sample Covariance Matrix for Robust Capon Beamforming,” Chinese Journal of Electronics, vol. 28, no. 5, pp. 962-967, 2019, doi: 10.1049/cje.2019.06.016

Citation:

WANG Jie, YANG Guangquan, HU Yi, et al., “A Two-Stage Nonlinear Shrinkage of the Sample Covariance Matrix for Robust Capon Beamforming,” Chinese Journal of Electronics, vol. 28, no. 5, pp. 962-967, 2019, doi: 10.1049/cje.2019.06.016

Citation:

PDF( 263 KB)

A Two-Stage Nonlinear Shrinkage of the Sample Covariance Matrix for Robust Capon Beamforming

doi: 10.1049/cje.2019.06.016

1.
School of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, China;
2.
Department of Electrical Engineering Computer Science, University of Wisconsin-Milwaukee, Milwaukee 53201, USA

Funds: This work is supported by the National Natural Science Foundation of China (No.11974086, No.51775122), the Special Innovation Project of Department of Education of Guangdong Province (No.2017KTSCX141), Guangzhou Science and Technology Project (No.201904010468), the Key Laboratory of Information Processing Transmission of Guangzhou (No.201605030014) and the Modern Video Audio Information Engineering Center of Guangdong Province.

More Information

Corresponding author: ZHANG Chunliang (corresponding author) was born in 1964.He received the Ph.D.degree in mechanical engineering from Zhejiang University,China.He is a professor of School of Mechanical and Electric Engineering,Guangzhou University,China.His research interests include condition monitoring and control of complicated operating environment,robotics,signal analysis and processing,and intelligent algorithm research.(Email:zhangcl@gzhu.edu.cn)
Received Date: 2016-04-21
Rev Recd Date: 2018-07-25
Publish Date: 2019-09-10

Abstract

Abstract

When the number of snapshots used to estimate the Sample covariance matrix (SCM) approaches infinity and the array steering vector is accurately known, the Standard Capon beamformer (SCB) can better suppress spatial noises than data-independent beamformers. On the contrary, the performance of the SCB may decrease. To solve this problem, we propose a two-stage shrinkage scheme for the SCM. Specifically, in the first stage, the SCM is enhanced by the General linear combination (GLC) method, which will be referred to as GLC-SCM; and in the second stage, the GLCSCM is further improved with the Exponential matrix (EM) method, which will be referred to as GLC-EM-SCM. Compared with the conventional methods, the proposed method can achieve higher signal-to-interference-noise ratio output and more accurate signal power estimate.
- Exponential,
- Sample covariance matrix,
- Robust Capon beamforming

FullText(HTML)

References(21)

References

W.Jin, J.Zhao, F.Zhang, et al., "Modified iterative robust beamforming algorithm", Acta Electronics Sinica, Vol.45, No.142, pp.2842-2847, 2017. (in Chinese)

J. Li, and P. Stoica, Robust Adaptive Beamforming, John Wiley & Sons, New York, USA, pp.95-112, 2005.

H.Jie, D.Feng and M.Yuan, "A robust beamforming method based on sparse constraint", Acta Electronics Sinica, Vol.44, No.9, pp.2276-2281, 2016. (in Chinese)

J. Benesty, J. Chen, and Y. Huang, "A generalized MVDR spectrum", IEEE Signal Processing Letters, Vol.12, No.12, pp.827-830, 2005.

M.T. Ozgen, "Extension of the Capon's spectral estimator to time-frequency analysis and to the analysis of polynomialphase signals", Signal Processing, Vol.83, No.3, pp.575-592, 2003.

C. Zheng, M. Zhou, and X. Li, "On the relationship of non-parametric methods for coherence function estimation", Signal Processing, Vol.88, No.11, pp.2863-2867, 2008.

C. Zheng, Y. Zhou, and X. Li, "Generalised framework for nonparameteric coherence function estimation", Electronics Letters, Vol.46, No.6, pp.450-452, 2010.

H. Cox, "Resolving power and sensitivity to mismatch of optimum array processors", Journal of the Acoustical Society of America, Vol.54, No.6, pp.771-785, 1973.

J. Li, P. Stoica, and Z. Wang, "On robust Capon beamforming and diagnal loading", IEEE Transactions on Signal Processing, Vol.51, No.7, pp.1702-1715, 2003.

J. Li, L. Du, and P. Stoica, "Fully automatic computation of diagonal loading levels for robust adaptive beamforming", Proc. of IEEE International Conference on Acoustics, Speech and Signal Processing, Las Vegas, Nevada, USA, pp.449-458, 2008.

P. Stoica, J. Li, X. Zhu, and J. R. Guerci, "On using a priori knowledge in space-time adaptive processing", IEEE Transactions on Signal Processing, Vol.56, No.6, pp.2598-2602, 2008.

P. Stoica, J. Li, and X. Tan, "On spatial power spectrum and signal estimation using the Pisarenko framework", IEEE Transactions on Signal Processing, Vol.56, No.10, pp.5109-5119, 2008.

L. Du, H. He, J. Li, and P. Stoica, "Review of user parameterfree robust adaptive beamforming algorithms", Digital Signal Processing, Vol.9, No.4, pp.567-582, 2009.

Y. Zhang, D. Sun, and D. Zhang, "Robust adaptive acoustic vector sensor beamforming using automated diagonal loading", Applied Acoustics, Vol.70, No.8, pp.1029-103, 2009.

X. Zhu, J. Li, and P. Stoica, "Knowledge-aided space-time adaptive processing", IEEE Transactions on Aerospace & Electronic Systems, Vol.47, No.2, pp.1325-1336, 2011.

N.K. Jablon, "Adaptive beamforming with the generalized sidelobe canceller in the presence of array imperfections", IEEE Trans Antennas Propag, Vol.34, No.8, pp.996-1012, 1986.

H. Cox, R.M. Zeskind, and M.M. Owen, "Robust adaptive beamforming", IEEE Transactions on Acoustics Speech & Signal Processing, Vol.35, No.10, pp.1365-1376, 1987.

R. J. Mailloux, "Covariance matrix augmentation to produce adaptive array pattern troughs", Electronics Letters, Vol.31, No.10, pp.771-772, 1995.

M. Zatman, "Production of adaptive array troughs by dispersion synthesis", Electronics Letters, Vol.31, No.25, pp.2141-2142, 1995.

J.R. Guerci, "Theory and application of covariance matrix tapers for robust adaptive beamforming", IEEE Transactions on Signal Processing, Vol.47, No.4, pp.977-985, 1995.

V. F. Pisarenko, "On the estimation of spectra by means of non-linear functions of the covariance matrix", Geophysical Journal of the Royal Astronomical Society, Vol.28, No.5, pp.511-531, 1972.

Relative Articles

Supplements(0)

Cited By

Proportional views