TDOA Matrices: Algebraic Properties and Their Application to Robust Denoising With Missing Data
Measuring the time delay of arrival (TDOA) between a set of sensors is the basic setup for many applications, such as localization or signal beamforming. This paper presents the set of TDOA matrices, which are built from noise-free TDOA measurements, not requiring knowledge of the sensor array geome...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universidad de Alcalá (UAH) |
| Repositorio: | e_Buah Biblioteca Digital Universidad de Alcalá |
| Idioma: | inglés |
| OAI Identifier: | oai:ebuah.uah.es:10017/64566 |
| Acceso en línea: | http://hdl.handle.net/10017/64566 https://dx.doi.org/10.1109/TSP.2016.2593690 |
| Access Level: | acceso abierto |
| Palabra clave: | TDOA estimation TDOA denoising Skewsymmetric matrices Matrix completion Missing data Electrónica Electronics |
| Sumario: | Measuring the time delay of arrival (TDOA) between a set of sensors is the basic setup for many applications, such as localization or signal beamforming. This paper presents the set of TDOA matrices, which are built from noise-free TDOA measurements, not requiring knowledge of the sensor array geometry. We prove that TDOA matrices are rank-two and have a special singular value decomposition decomposition that leads to a compact linear parametric representation. Properties of TDOA matrices are applied in this paper to perform denoising, by finding the TDOA matrix closest to the matrix composed with noisy measurements. This paper shows that this problem admits a closed-form solution for TDOA measurements contaminated with Gaussian noise that extends to the case of having missing data. This paper also proposes a novel robust denoising method resistant to outliers, missing data and inspired in recent advances in robust low-rank estimation. Experiments in synthetic and real datasets show significant improvements of the proposed denoising algorithms in TDOA-based localization, both in terms of TDOA accuracy estimation and localization error. |
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