Robust Adaptive Wideband Beamforming Using Probability-Constrained Optimization

Abstract

Abstract-The existing robust narrowband beamformers based on probability-constrained optimization have an excellent performance as compared to several state-of-the-art robust beamforming algorithms. However, they always assume that the steering vector errors are small enough. Without this assumption, we extend the probability-constrained approach to a wideband beamformer. In addition, a novel robust wideband beamformer with frequency invariance constraints is proposed by introducing the response variation (RV) element. Our problems can be reformulated in a convex form as the iterative second order cone programming (SOCP) problem and solved effectively using well-established interior point method. Compared with existing robust wideband beamformers, a more efficient control over the beamformer's response against the steering vector errors is achieved with an improved output signal-to-interference-plus-noise ratio (SINR).

Variable Diagonal Loading Based Robust Concentric Hexagonal Antenna Array With Low Side Lobe Level Using Tapering Windows

“…Interelement spacing, signal propagation speed, and signal frequency are half-wavelength, 3 × 10 8 m/s, and 0.3 GHz, respectively. Figure 4 exhibits the power pattern comparison between the proposed MVDR based CHAA and MVDR based CCAA [7] with the same number of elements (19) where the beamwidth of CHAA is significantly narrower than the beamwidth of CCAA. For example, the HPBWs of proposed CHAA and existing CCAA are 35.88 • and 48.19 • , respectively.…”

“…Circular array has been compared with hexagonal antenna array using different optimization techniques in [17,18]. Adaptive techniques can be utilized associated with robust techniques for smart antenna array discussed in [19][20][21][22][23][24].…”

Robust beamforming for wideband array based on spectrum subspaces

“…However, the constraints are usually too harsh since the worst‐case rarely occurs. A robust WDBF algorithm based on a probability constraint was proposed to tackle this problem [19]. It regards the SV deviation as a random vector, and optimises the output of the beamformer under a certain probability distribution.…”

Robust wideband beamforming method for linear frequency modulation signals based on digital dechirp processing

“…To overcome the difficulties, a new variable loading technique, which combines the features of variable optimal loading and general linear combination, is developed in [6]. Another kind of robust beamformer is proposed in [7, 8]. It guarantees the robustness against steering vector mismatches using probability constraints.…”