Improved finite samples resampling for unbiased wide-band direction of arrival estimation

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  • Desoki Ahmed
    Graduate School of Science and Technology, Tokyo Institute of Technology
  • Takada Jun-ichi
    Graduate School of Science and Technology, Tokyo Institute of Technology
  • Hagiwara Ichiro
    Graduate School of Science and Technology, Tokyo Institute of Technology

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This paper considers wide-band DOA estimation using the spatial resampling method for coherent averaging. In this paper a rough estimate of the resampling error distribution is obtained. Careful examination of this distribution yields an improved resampling formula suitable for, but not limited to, arrays with finite sensors. It is shown that the proposed formula yields resampling error much less than that of conventional resampling. Moreover it is shown how the resampling error can be more reduced by proper choice of the focusing frequency. Based on the this resampling formula a perfect focusing scheme is then proposed and its performance is evaluated and compared to other wide-band methods through simulations. Simulations showed quite satisfactory and robust performance of the proposed scheme. It was shown that it succeeds in situations where all considered wide-band methods fail. In addition it is bias-free and can be implemented quite efficiently. Hence it is quite suitable for reliable real-time DOA estimation in reverberant environments.

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