Hierarchical Sparse Sound Field Reconstruction with Spherical and Linear Microphone Arrays

Fuente: arXiv
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Autori principali: Xu, Shunxi, Jin, Craig T.
Natura: Preprint
Pubblicazione: 2025
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author Xu, Shunxi
Jin, Craig T.
author_facet Xu, Shunxi
Jin, Craig T.
contents Spherical microphone arrays (SMAs) are widely used for sound field analysis, and sparse recovery (SR) techniques can significantly enhance their spatial resolution by modeling the sound field as a sparse superposition of dominant plane waves. However, the spatial resolution of SMAs is fundamentally limited by their spherical harmonic order, and their performance often degrades in reverberant environments. This paper proposes a two-stage SR framework with residue refinement that integrates observations from a central SMA and four surrounding linear microphone arrays (LMAs). The core idea is to exploit complementary spatial characteristics by treating the SMA as a primary estimator and the LMAs as a spatially complementary refiner. Simulation results demonstrate that the proposed SMA-LMA method significantly enhances spatial energy map reconstruction under varying reverberation conditions, compared to both SMA-only and direct one-step joint processing. These results demonstrate the effectiveness of the proposed framework in enhancing spatial fidelity and robustness in complex acoustic environments.
format Preprint
id arxiv_https___arxiv_org_abs_2509_03902
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Hierarchical Sparse Sound Field Reconstruction with Spherical and Linear Microphone Arrays
Xu, Shunxi
Jin, Craig T.
Audio and Speech Processing
Spherical microphone arrays (SMAs) are widely used for sound field analysis, and sparse recovery (SR) techniques can significantly enhance their spatial resolution by modeling the sound field as a sparse superposition of dominant plane waves. However, the spatial resolution of SMAs is fundamentally limited by their spherical harmonic order, and their performance often degrades in reverberant environments. This paper proposes a two-stage SR framework with residue refinement that integrates observations from a central SMA and four surrounding linear microphone arrays (LMAs). The core idea is to exploit complementary spatial characteristics by treating the SMA as a primary estimator and the LMAs as a spatially complementary refiner. Simulation results demonstrate that the proposed SMA-LMA method significantly enhances spatial energy map reconstruction under varying reverberation conditions, compared to both SMA-only and direct one-step joint processing. These results demonstrate the effectiveness of the proposed framework in enhancing spatial fidelity and robustness in complex acoustic environments.
title Hierarchical Sparse Sound Field Reconstruction with Spherical and Linear Microphone Arrays
topic Audio and Speech Processing
url https://arxiv.org/abs/2509.03902