IEEJ Transactions on Sensors and Micromachines
Online ISSN : 1347-5525
Print ISSN : 1341-8939
Paper
A Theory and Experiment of Instantaneous Wave Source Localization from a Wave Distribution on a Small Region
Shoichi KoyamaToru KuriharaShigeru Ando
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2009 Volume 129 Issue 10 Pages 350-356

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Abstract

We deal with the problem of direction and distance estimate of emission sources in 3-D space. We first introduce a partial differential equation (PDE) what we call the location constraint PDE (LC-PDE), which provides a necessary and sufficient description of wavefield generated by a source at direction n and distance R. To remove differentials, we integrate the LC-PDE in a finite rectangular area with complex sinusoidal weight functions. By using a well-known class of window function to eliminate the integral boundary terms, we show an exact finite set of algebraic equations can be obtained including n, R as the unknown variables and small number of 2-D discrete Fourier transform (DFT) components of wavefield as the measurements.

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© 2009 by the Institute of Electrical Engineers of Japan
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