Robust differential microphone array with constant mainlobe width and frequency-invariant directivity factor

Abstract Differential beamforming, with its compact size and high directivity factor (DF), offers significant advantages for addressing various acoustic problems. While white noise gain (WNG) serves as a fundamental performance criterion for the robustness of differential microphone arrays (DMAs), s...

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Main Authors: Pu Zheng, Yongfeng Zhi
Format: Article
Language:English
Published: Nature Portfolio 2025-02-01
Series:Scientific Reports
Subjects:
Online Access:https://doi.org/10.1038/s41598-025-90992-3
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author Pu Zheng
Yongfeng Zhi
author_facet Pu Zheng
Yongfeng Zhi
author_sort Pu Zheng
collection DOAJ
description Abstract Differential beamforming, with its compact size and high directivity factor (DF), offers significant advantages for addressing various acoustic problems. While white noise gain (WNG) serves as a fundamental performance criterion for the robustness of differential microphone arrays (DMAs), simultaneously achieving both high WNG and frequency-invariant DF remains a significant challenge. This study presents a new method for the design of nonuniform linear robust DMAs. Our method effectively eliminates high-frequency extra nulls in the mainlobe of robust DMAs, thus preserving robustness and ensuring both frequency-invariant DF and consistent mainlobe width. The proposed approach achieves a WNG comparable to the maximum WNG method while mitigating its shortcomings in high-frequency, frequency-dependent variations of mainlobe width and DF, demonstrating its potential to enhance acoustic performance in complex environments.
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spelling doaj.art-6b59b6746a18478eb23ff3ab6f8047222025-03-02T12:21:31ZengNature PortfolioScientific Reports2045-23222025-02-0115111510.1038/s41598-025-90992-3Robust differential microphone array with constant mainlobe width and frequency-invariant directivity factorPu Zheng0Yongfeng Zhi1School of Automation, Northwestern Polytechnical UniversitySchool of Automation, Northwestern Polytechnical UniversityAbstract Differential beamforming, with its compact size and high directivity factor (DF), offers significant advantages for addressing various acoustic problems. While white noise gain (WNG) serves as a fundamental performance criterion for the robustness of differential microphone arrays (DMAs), simultaneously achieving both high WNG and frequency-invariant DF remains a significant challenge. This study presents a new method for the design of nonuniform linear robust DMAs. Our method effectively eliminates high-frequency extra nulls in the mainlobe of robust DMAs, thus preserving robustness and ensuring both frequency-invariant DF and consistent mainlobe width. The proposed approach achieves a WNG comparable to the maximum WNG method while mitigating its shortcomings in high-frequency, frequency-dependent variations of mainlobe width and DF, demonstrating its potential to enhance acoustic performance in complex environments.https://doi.org/10.1038/s41598-025-90992-3Differential microphone arrays (DMAs)Robust DMAsWhite noise gainDirectivity factor
spellingShingle Pu Zheng
Yongfeng Zhi
Robust differential microphone array with constant mainlobe width and frequency-invariant directivity factor
Scientific Reports
Differential microphone arrays (DMAs)
Robust DMAs
White noise gain
Directivity factor
title Robust differential microphone array with constant mainlobe width and frequency-invariant directivity factor
title_full Robust differential microphone array with constant mainlobe width and frequency-invariant directivity factor
title_fullStr Robust differential microphone array with constant mainlobe width and frequency-invariant directivity factor
title_full_unstemmed Robust differential microphone array with constant mainlobe width and frequency-invariant directivity factor
title_short Robust differential microphone array with constant mainlobe width and frequency-invariant directivity factor
title_sort robust differential microphone array with constant mainlobe width and frequency invariant directivity factor
topic Differential microphone arrays (DMAs)
Robust DMAs
White noise gain
Directivity factor
url https://doi.org/10.1038/s41598-025-90992-3
work_keys_str_mv AT puzheng robustdifferentialmicrophonearraywithconstantmainlobewidthandfrequencyinvariantdirectivityfactor
AT yongfengzhi robustdifferentialmicrophonearraywithconstantmainlobewidthandfrequencyinvariantdirectivityfactor