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Multiple-Source Ellipsoidal Localization Using Acoustic Energy Measurements by Meng, Fanqin; Shen, Xiaojing; Wang, Zhiguo; Liu, Haiqi; Wang, Junfeng; Zhu, Yunmin; Varshney, Pramod K. is a scholarly article available to read on EtoBox.

What is Multiple-Source Ellipsoidal Localization Using Acoustic Energy Measurements about?

In this paper, the multiple-source ellipsoidal localization problem based on acoustic energy measurements is investigated via set-membership estimation theory. When the probability density function of measurement noise is unknown-but-bounded, multiple-source localization is a difficult problem since not only the acoustic energy measurements are complicated nonlinear functions of multiple sources, but also the multiple sources bring about a high-dimensional state estimation problem. First, when the energy parameter and the position of the source are bounded in an interval and a ball respectively, the nonlinear remainder bound of the Taylor series expansion is obtained analytically on-line. Next, based on the separability of the nonlinear measurement function, an efficient estimation procedure is developed. It solves the multiple-source localization problem by using an alternating optimization iterative algorithm, in which the remainder bound needs to be known on-line. For this reason, we first derive the remainder bound analytically. When the energy decay factor is unknown but bounded, an efficient estimation procedure is developed based on interval mathematics. Finally, numerical e

Author
Meng, Fanqin; Shen, Xiaojing; Wang, Zhiguo; Liu, Haiqi; Wang, Junfeng; Zhu, Yunmin; Varshney, Pramod K.
Published
2019
Language
EN