Kocsis, Bálint and Horváth, Csaba (2026) Investigating Rotating Noise Sources Using Uniform Circular Arrays: Theoretical Limits and Self-similar Beamforming Maps. PERIODICA POLYTECHNICA-MECHANICAL ENGINEERING, 70 (1). pp. 39-50. ISSN 0324-6051
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Abstract
Phased microphone array measurements combined with beamforming signal processing is a widely used approach for localizing and quantifying noise sources, which can be used for turbomachinery applications. Among the various array configurations, uniform circular arrays (UCAs) are frequently employed for rotating sources due to their geometric simplicity and the practical advantage that they can be installed around a free jet or a duct without disturbing the flow. The present article investigates this array design with the aim of providing guidelines for planning proper measurement setups. Particular attention is given to two interdependent parameters: the array diameter and the measurement distance. For a simplified turbomachinery test case, a suitable measurement range is defined within the parameter plane spanned by these variables. The lower and upper bounds of this range are established through the constraints of achieving sufficient spatial resolution and avoiding spatial aliasing, for the estimation of which straightforward formulas are derived herein. Furthermore, it is shown that the parameter plane defined by array diameter and measurement distance can be regarded as the extrusion of one of its cross-sections along specific curves, referred to herein as self-similar curves, as the beamforming maps along these curves are self-similar. This property is advantageous, as conclusions can easily be drawn for the entire parameter space under investigation by carrying out a few simple calculations that utilize the formulas derived herein.
| Item Type: | Article |
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| Additional Information: | Published online: 2026-01-11 Funding Agency and Grant Number: Ministry of Innovation and Technology of Hungary from the National Research, Development and Innovation Fund, financed under the OTKA K 22 funding scheme [143204]; Ministry of Culture and Innovation of Hungary from the National Research, Development and Innovation Fund, financed under the TKP2021-NVA funding scheme [TKP-6-6/PALY-2021]; Janos Bolyai Research Scholarship of the Hungarian Academy of Sciences Funding text: Project no. 143204 has been implemented with the support provided by the Ministry of Innovation and Technology of Hungary from the National Research, Development and Innovation Fund, financed under the OTKA K 22 funding scheme. Project no. TKP-6-6/PALY-2021 has been implemented with the support provided by the Ministry of Culture and Innovation of Hungary from the National Research, Development and Innovation Fund, financed under the TKP2021-NVA funding scheme. This project was supported by the Janos Bolyai Research Scholarship of the Hungarian Academy of Sciences. |
| Uncontrolled Keywords: | Beamforming; uniform circular array; Microphone array; array diameter; spatial aliasing; |
| Subjects: | T Technology / alkalmazott, műszaki tudományok > T2 Technology (General) / műszaki tudományok általában |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 20 Sep 2026 14:05 |
| Last Modified: | 20 Sep 2026 14:05 |
| URI: | https://real.mtak.hu/id/eprint/246845 |
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