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An exact noniterative linear method for locating sources based on measuring receiver arrival times
1Department of Fundamental and Experimental Physics, La Laguna University, Canary Islands, Spain.
The Journal of the Acoustical Society of America
|June 8, 2007
Summary
This study introduces a new linear method for source localization using time of arrival data. It simplifies calculations by solving linear equations, offering a more general approach than previous methods.
Area of Science:
- Signal Processing
- Geophysics
- Acoustics
Background:
- Source localization is crucial in various fields.
- Existing methods often involve complex nonlinear equations.
- These methods can suffer from issues like nonlinearity and unknown dependencies.
Purpose of the Study:
- To present an exact, linear solution for source localization.
- To simplify the process of determining source position.
- To offer a more general and robust method compared to prior art.
Main Methods:
- Utilizing time of arrival data at receivers.
- Solving a system of linear equations for source position (3 for 2D, 4 for 3D).
- Employing an additional receiver beyond the minimum requirement for simplification.
Main Results:
- An exact linear solution for source localization is achieved.
- The method is applicable to any receiver configuration.
- It overcomes common issues of nonlinearity and unknown dependencies.
Conclusions:
- The presented linear method offers a significant advancement in source localization.
- Its generality and straightforwardness make it widely applicable.
- This approach provides a more robust and simpler alternative to existing nonlinear techniques.
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