Cross-spectral analysis of higher-order ambisonic signals for investigating the spatial and statistical properties of captured sound fields
Cross-spectral analysis of higher-order ambisonic signals for investigating the spatial and statistical properties of captured sound fields
The analysis of spatial and statistical properties of a captured sound field is of significant interest in various fields,including room acoustics, spatial sound capture and reproduction. In this paper, we investigate these properties based on higher-order Ambisonic (HOA) signals. A cross spectral matrix is constructed, where the diagonal and off diagonal entries respectively represent the power spectral densities and the cross-spectral densities of the HOA signals. Through theoretical development, we demonstrate that the numerical properties of the cross-spectral matrix,such as its rank and eigenvalue distribution, are determined by the spatial distribution of incident sound waves and the correlation between source signals. The analysisis performed for simulated and real sound fields, considering various source distributions and Ambisonic order
Hahn, Nara
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Orita, Mihai
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Bacila, Bogdan
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Nelson, Philip A.
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June 2025
Hahn, Nara
9c5cb8ff-b351-40ff-974b-9635a790ec16
Orita, Mihai
b5850bb4-8337-4865-bb8f-50860169bee0
Bacila, Bogdan
546ef7a7-5497-4a33-80ea-3ceef05c1c60
Nelson, Philip A.
5c6f5cc9-ea52-4fe2-9edf-05d696b0c1a9
Hahn, Nara, Fazi, Filippo, Orita, Mihai, Bacila, Bogdan and Nelson, Philip A.
(2025)
Cross-spectral analysis of higher-order ambisonic signals for investigating the spatial and statistical properties of captured sound fields.
11th Convention of the European Acoustics Association, , Malaga, Spain.
23 - 26 Jun 2025.
8 pp
.
Record type:
Conference or Workshop Item
(Paper)
Abstract
The analysis of spatial and statistical properties of a captured sound field is of significant interest in various fields,including room acoustics, spatial sound capture and reproduction. In this paper, we investigate these properties based on higher-order Ambisonic (HOA) signals. A cross spectral matrix is constructed, where the diagonal and off diagonal entries respectively represent the power spectral densities and the cross-spectral densities of the HOA signals. Through theoretical development, we demonstrate that the numerical properties of the cross-spectral matrix,such as its rank and eigenvalue distribution, are determined by the spatial distribution of incident sound waves and the correlation between source signals. The analysisis performed for simulated and real sound fields, considering various source distributions and Ambisonic order
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Published date: June 2025
Venue - Dates:
11th Convention of the European Acoustics Association, , Malaga, Spain, 2025-06-23 - 2025-06-26
Identifiers
Local EPrints ID: 502365
URI: http://eprints.soton.ac.uk/id/eprint/502365
PURE UUID: f15a39d5-b12e-4c91-bdfb-5defce074061
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Date deposited: 24 Jun 2025 16:39
Last modified: 25 Jun 2025 02:04
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Contributors
Author:
Nara Hahn
Author:
Filippo Fazi
Author:
Mihai Orita
Author:
Bogdan Bacila
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