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Robust Adaptive Microphone Array with Mainlobe and Response Ripple Control

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Abstract

Many existing adaptive beamformers possess robustness against arbitrary array steering vector (ASV) mismatches within presumed uncertainty set. However, when the array facing a large steering direction error, their performance degrade significantly since the uncertainty in steering direction generally gives rise to an outstanding mismatch in ASV. In the applications of microphone array, large steering direction error is often unavoidable because of the motion of target speaker. Meanwhile, in addition to conventional adaptive beamformers, microphone array also requests a controlled frequency response to target signal. In this paper, we propose a new adaptive microphone array implemented in frequency domain with controlled mainlobe and frequency response. A compact ASV uncertainty set explicitly modelling steering direction error and the other arbitrary ASV errors is exploited to derive beamformer with robust constraints on array magnitude response. Numerical results show that the proposed microphone array not only produces large controlled robust response region and robust frequency response, but also achieves high performance in SINR enhancement.

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Notes

  1. The vector h(f) may also variate with the change of data block k. However, for simplicity, we assume it is fixed in this paper.

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Acknowledgements

The authors acknowledge all the anonymous reviewers for their constructive comments that helped to improve the quality of this paper. This work was supported in part by the National Natural Science Foundation of China under Grants 60802068 and 60825306, Guangdong Natural Science Foundation under grants 8451064101000498.

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Authors and Affiliations

  1. College of Automation Science and Engineering, South China University of Technology, Guangzhou, China

    Zhu Liang Yu, Zhenghui Gu & Yuanqing Li

  2. School of Electronic and Electrical Engineering, Nanyang Technological University, Singapore, Singapore

    Wee Ser & Meng Hwa Er

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  1. Zhu Liang Yu
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Correspondence to Zhu Liang Yu.

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Yu, Z.L., Gu, Z., Ser, W. et al. Robust Adaptive Microphone Array with Mainlobe and Response Ripple Control. J Sign Process Syst 63, 301–313 (2011). https://doi.org/10.1007/s11265-009-0424-6

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