Abstract
The linearly constrained minimum variance (LCMV) method in adaptive signal processing is designed in such a way that it attempts to minimize the output power subject to constraints on the look directions. This adaptive method has been applied to time-reversal mirror (TRM) for simultaneous multiple focusing and its efficiency has been verified by [Kim et al., J. Acoust. Soc. Am. 109 (5), 1817–1825 (2001)]. However, the norm of the weighting vector ‖w‖ that satisfies the constraints tends to become very large when two probe sources (PS) are close to each other. It causes prominent spatial sidelobes as the weighting vector w is back-propagated in TR focusing. In this study, a relationship between ‖w‖ and PS locations is illustrated, and LCMV method is partially reformulated to calculate the weighting vector w which satisfies new constraint responses, so that sidelobes are significantly suppressed. The proposed method for improved adaptive time-reversal mirror for stable simultaneous multiple focusing is verified using numerical simulations and experimental data.
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