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A Nonlinear Adaptive Beamforming Algorithm Based on Least Squares Support Vector Regression
School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China
China Aerodynamics Research & Development Center, Mianyang 621000, China
School of Communication, Chongqing University, Chongqing 400044, China
* Author to whom correspondence should be addressed.
Received: 28 July 2012; in revised form: 21 August 2012 / Accepted: 30 August 2012 / Published: 12 September 2012
Abstract: To overcome the performance degradation in the presence of steering vector mismatches, strict restrictions on the number of available snapshots, and numerous interferences, a novel beamforming approach based on nonlinear least-square support vector regression machine (LS-SVR) is derived in this paper. In this approach, the conventional linearly constrained minimum variance cost function used by minimum variance distortionless response (MVDR) beamformer is replaced by a squared-loss function to increase robustness in complex scenarios and provide additional control over the sidelobe level. Gaussian kernels are also used to obtain better generalization capacity. This novel approach has two highlights, one is a recursive regression procedure to estimate the weight vectors on real-time, the other is a sparse model with novelty criterion to reduce the final size of the beamformer. The analysis and simulation tests show that the proposed approach offers better noise suppression capability and achieve near optimal signal-to-interference-and-noise ratio (SINR) with a low computational burden, as compared to other recently proposed robust beamforming techniques.
Keywords: adaptive beamforming; least-squares support vector regression (LS-SVR); sparsification; kernel function
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MDPI and ACS Style
Wang, L.; Jin, G.; Li, Z.; Xu, H. A Nonlinear Adaptive Beamforming Algorithm Based on Least Squares Support Vector Regression. Sensors 2012, 12, 12424-12436.
Wang L, Jin G, Li Z, Xu H. A Nonlinear Adaptive Beamforming Algorithm Based on Least Squares Support Vector Regression. Sensors. 2012; 12(9):12424-12436.
Wang, Lutao; Jin, Gang; Li, Zhengzhou; Xu, Hongbin. 2012. "A Nonlinear Adaptive Beamforming Algorithm Based on Least Squares Support Vector Regression." Sensors 12, no. 9: 12424-12436.