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PIER PIER B PIER C PIER M PIER Letters
2011-05-17
Application of the Newton Method to Improve the Accuracy of Toa Estimation with the Beamforming Algorithm and the MUSIC Algorithm
By
Joon-Ho Lee,

    Professor Joon-Ho Lee

    Department of Information & Communication Engineering

    Sejong University

    Korea

    Homepage

Yeong-Seok Jeong,

    Dr. Yeong-Seok Jeong

    Samsung Thales Co., Ltd.

    Korea

    Homepage

Sung-Woo Cho,

    Dr. Sung-Woo Cho

    Department of Information and Communication Engineering

    Sejong University

    Korea

    Homepage

Woon-Young Yeo,

    Dr. Woon-Young Yeo

    Sejong University

    Korea

    Homepage

Kristofer S. J. Pister

    Dr. Kristofer S. J. Pister

    Department of Electrical Engineering and Computer Science

    UC Berkeley

    USA

    Homepage

Progress In Electromagnetics Research, Vol. 116, 475-515, 2011
doi:10.2528/PIER10112608
Abstract
In this paper, a numerical method for improving the performance of the beamforming algorithm and the MUSIC algorithm for TOA (Time-of-Arrival) estimation is presented. It has been shown that the conventional beamforming algorithm and the MUSIC algorithm can be used for time delay estimation. Using the beamforming algorithm and the MUSIC algorithm for TOA estimation, the initial estimate for the TOA is obtained. To improve the accuracy of the TOA estimation, we apply the Newton iteration to the initial estimate. The initial estimates obtained from the beamforming algorithm and the MUSIC algorithm are updated to obtain the final estimates which are more accurate than the initial estimates in terms of the RMSE (Root Mean Square Error). To find the TOA which maximizes the beamforming spectrum or the MUSIC spectrum, we find the TOA at which the derivative of the beamforming spectrum with respect to the delay is zero. To find numerically the TOA at which the derivative of the beamforming spectrum or the MUSIC spectrum is zero, the Newton iteration is adopted. In numerical results, the validity of the proposed scheme is illustrated using various examples.
Citation
Joon-Ho Lee, Yeong-Seok Jeong, Sung-Woo Cho, Woon-Young Yeo, and Kristofer S. J. Pister, "Application of the Newton Method to Improve the Accuracy of Toa Estimation with the Beamforming Algorithm and the MUSIC Algorithm," Progress In Electromagnetics Research, Vol. 116, 475-515, 2011.
doi:10.2528/PIER10112608
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