A linearly interpolated DOA estimation algorithm based on Variational Bayesian Inference

•Acoustic source direction of arrival estimation based on Variational Bayesian Inference.•A grid interpolation algorithm to perform off-grid direction of arrival estimation.•This algorithm still performs well under the condition of a coarse grid. Acoustic source localization constitutes a pivotal re...

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Published inApplied acoustics Vol. 240; p. 110968
Main Authors Cui, Lin, Cui, Yingkai, Liu, Jialei
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 05.12.2025
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Online AccessGet full text
ISSN0003-682X
DOI10.1016/j.apacoust.2025.110968

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Abstract •Acoustic source direction of arrival estimation based on Variational Bayesian Inference.•A grid interpolation algorithm to perform off-grid direction of arrival estimation.•This algorithm still performs well under the condition of a coarse grid. Acoustic source localization constitutes a pivotal research subject within the domain of Direction-of-Arrival (DOA) estimation. In particular, DOA estimation algorithms based on Sparse Bayesian Learning (SBL) tend to experience severe performance degradation when the chosen grid intervals are large. To solve this problem, this paper proposes a DOA estimation algorithm named Linear Interpolation Temporal Correlation − Variational Bayesian Inference (LITC-VBI) based on Variational Bayesian Inference (VBI). Within the framework of the VBI, a novel signal model is constructed by exploiting the inherent temporal correlation of the incident acoustic signal. In addition, by combining the linear interpolation method, a new off-grid model is constructed. This model improves the accuracy and stability of DOA estimation in the off-grid scenario. Simulation results demonstrate that the DOA estimation performance is significantly improved and that it outperforms several existing SBL-based DOA estimation methods.
AbstractList •Acoustic source direction of arrival estimation based on Variational Bayesian Inference.•A grid interpolation algorithm to perform off-grid direction of arrival estimation.•This algorithm still performs well under the condition of a coarse grid. Acoustic source localization constitutes a pivotal research subject within the domain of Direction-of-Arrival (DOA) estimation. In particular, DOA estimation algorithms based on Sparse Bayesian Learning (SBL) tend to experience severe performance degradation when the chosen grid intervals are large. To solve this problem, this paper proposes a DOA estimation algorithm named Linear Interpolation Temporal Correlation − Variational Bayesian Inference (LITC-VBI) based on Variational Bayesian Inference (VBI). Within the framework of the VBI, a novel signal model is constructed by exploiting the inherent temporal correlation of the incident acoustic signal. In addition, by combining the linear interpolation method, a new off-grid model is constructed. This model improves the accuracy and stability of DOA estimation in the off-grid scenario. Simulation results demonstrate that the DOA estimation performance is significantly improved and that it outperforms several existing SBL-based DOA estimation methods.
ArticleNumber 110968
Author Liu, Jialei
Cui, Yingkai
Cui, Lin
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Keywords Variational Bayesian Inference
Direction-of-arrival (DOA) estimation
Temporal Correlation structure
Linear Interpolation
Sparse Bayesian Learning (SBL)
Language English
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Snippet •Acoustic source direction of arrival estimation based on Variational Bayesian Inference.•A grid interpolation algorithm to perform off-grid direction of...
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SubjectTerms Direction-of-arrival (DOA) estimation
Linear Interpolation
Sparse Bayesian Learning (SBL)
Temporal Correlation structure
Variational Bayesian Inference
Title A linearly interpolated DOA estimation algorithm based on Variational Bayesian Inference
URI https://dx.doi.org/10.1016/j.apacoust.2025.110968
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