Increasing the spatial aliasing frequency of circular arrays via beamformer order reduction
Increasing the spatial aliasing frequency of circular arrays via beamformer order reduction
Spatial aliasing may occur when the wavelength of a sound becomes smaller than twice the distance between neighbouring transducers, limiting the directivity of loudspeaker or microphone arrays at high frequencies. This paper focuses on uniform circular arrays and investigates how the spatial aliasing frequency can be increased by reducing the beamformer order. By leveraging the special structure of the circular harmonic orthogonality matrix, derived from Discrete Fourier Transform theory, it is shown that spatial aliasing of a given high-order harmonic impacts only one specific lower-order harmonic. Based on this property, a strategy is proposed to increase the spatial aliasing frequency by creating beamformers with an order smaller than the maximum possible for the given number of transducers. These theoretical findings are validated through simulations, demonstrating the trade-off between spatial aliasing frequency and beamformer directivity.
Hahn, Nara
9c5cb8ff-b351-40ff-974b-9635a790ec16
June 2025
Hahn, Nara
9c5cb8ff-b351-40ff-974b-9635a790ec16
Fazi, Filippo Maria and Hahn, Nara
(2025)
Increasing the spatial aliasing frequency of circular arrays via beamformer order reduction.
11th Convention of the European Acoustics Association, , Malaga, Spain.
23 - 26 Jun 2025.
8 pp
.
Record type:
Conference or Workshop Item
(Paper)
Abstract
Spatial aliasing may occur when the wavelength of a sound becomes smaller than twice the distance between neighbouring transducers, limiting the directivity of loudspeaker or microphone arrays at high frequencies. This paper focuses on uniform circular arrays and investigates how the spatial aliasing frequency can be increased by reducing the beamformer order. By leveraging the special structure of the circular harmonic orthogonality matrix, derived from Discrete Fourier Transform theory, it is shown that spatial aliasing of a given high-order harmonic impacts only one specific lower-order harmonic. Based on this property, a strategy is proposed to increase the spatial aliasing frequency by creating beamformers with an order smaller than the maximum possible for the given number of transducers. These theoretical findings are validated through simulations, demonstrating the trade-off between spatial aliasing frequency and beamformer directivity.
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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
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Local EPrints ID: 502366
URI: http://eprints.soton.ac.uk/id/eprint/502366
PURE UUID: 3227828c-3a5c-454d-872b-f026c1948539
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Date deposited: 24 Jun 2025 16:40
Last modified: 25 Jun 2025 02:04
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Contributors
Author:
Filippo Maria Fazi
Author:
Nara Hahn
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