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Mathematical Problems in Engineering
Volume 2017, Article ID 7904356, 7 pages
Research Article

MVDR Algorithm Based on Estimated Diagonal Loading for Beamforming

1China University of Mining and Technology, Xuzhou 221116, China
2University of Chinese Academy of Sciences, Beijing 101408, China

Correspondence should be addressed to Hongsheng Yin; moc.anis@shyuohzux

Received 1 June 2017; Revised 24 August 2017; Accepted 11 September 2017; Published 12 October 2017

Academic Editor: Thomas Schuster

Copyright © 2017 Yuteng Xiao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Beamforming algorithm is widely used in many signal processing fields. At present, the typical beamforming algorithm is MVDR (Minimum Variance Distortionless Response). However, the performance of MVDR algorithm relies on the accurate covariance matrix. The MVDR algorithm declines dramatically with the inaccurate covariance matrix. To solve the problem, studying the beamforming array signal model and beamforming MVDR algorithm, we improve MVDR algorithm based on estimated diagonal loading for beamforming. MVDR optimization model based on diagonal loading compensation is established and the interval of the diagonal loading compensation value is deduced on the basis of the matrix theory. The optimal diagonal loading value in the interval is also determined through the experimental method. The experimental results show that the algorithm compared with existing algorithms is practical and effective.