{"title":"Generalized sound field interpolation for freely spaced microphone arrays in rotation-robust beamforming","authors":"Shuming Luan , Yukoh Wakabayashi , Tomoki Toda","doi":"10.1016/j.apacoust.2025.110706","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we present a novel method for <figure><img></figure> aimed at achieving rotation-robust beamforming with circular microphone arrays (CMAs), where the microphone distribution is unknown. Previous methods require a known microphone distribution, limiting their applicability in real-world scenarios where such information is often unavailable. Our proposed method addresses this limitation by utilizing an unequally spaced circular microphone array (unes-CMA) with unknown microphone positions. The method comprises two key components: unsupervised calibration and unequally spaced <figure><img></figure>. Unsupervised calibration employs an innovative iterative optimization technique to estimate the positional errors of the microphones without any pre-existing location information, thereby determining the microphone distribution on the unes-CMA in an unsupervised manner. Once these positional errors are estimated, the unequally spaced <figure><img></figure> method enables the reconstruction of the target signal of the unes-CMA before rotation. This process of unsupervised calibration enables accurate <figure><img></figure> even with unknown microphone distributions. Additionally, we further improve the method by modifying the cost function used during unsupervised calibration and extending its applicability to nearly circular microphone arrays, which are not strictly a circle anymore. Simulation experiments were conducted to evaluate the performance of our method. The results demonstrated that our method effectively mitigates the negative impact of unknown microphone placements. It yielded significant improvements in estimating the signal before rotation and the performance of beamforming compared with previous methods.</div></div>","PeriodicalId":55506,"journal":{"name":"Applied Acoustics","volume":"236 ","pages":"Article 110706"},"PeriodicalIF":3.4000,"publicationDate":"2025-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Acoustics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0003682X25001781","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ACOUSTICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we present a novel method for aimed at achieving rotation-robust beamforming with circular microphone arrays (CMAs), where the microphone distribution is unknown. Previous methods require a known microphone distribution, limiting their applicability in real-world scenarios where such information is often unavailable. Our proposed method addresses this limitation by utilizing an unequally spaced circular microphone array (unes-CMA) with unknown microphone positions. The method comprises two key components: unsupervised calibration and unequally spaced . Unsupervised calibration employs an innovative iterative optimization technique to estimate the positional errors of the microphones without any pre-existing location information, thereby determining the microphone distribution on the unes-CMA in an unsupervised manner. Once these positional errors are estimated, the unequally spaced method enables the reconstruction of the target signal of the unes-CMA before rotation. This process of unsupervised calibration enables accurate even with unknown microphone distributions. Additionally, we further improve the method by modifying the cost function used during unsupervised calibration and extending its applicability to nearly circular microphone arrays, which are not strictly a circle anymore. Simulation experiments were conducted to evaluate the performance of our method. The results demonstrated that our method effectively mitigates the negative impact of unknown microphone placements. It yielded significant improvements in estimating the signal before rotation and the performance of beamforming compared with previous methods.
期刊介绍:
Since its launch in 1968, Applied Acoustics has been publishing high quality research papers providing state-of-the-art coverage of research findings for engineers and scientists involved in applications of acoustics in the widest sense.
Applied Acoustics looks not only at recent developments in the understanding of acoustics but also at ways of exploiting that understanding. The Journal aims to encourage the exchange of practical experience through publication and in so doing creates a fund of technological information that can be used for solving related problems. The presentation of information in graphical or tabular form is especially encouraged. If a report of a mathematical development is a necessary part of a paper it is important to ensure that it is there only as an integral part of a practical solution to a problem and is supported by data. Applied Acoustics encourages the exchange of practical experience in the following ways: • Complete Papers • Short Technical Notes • Review Articles; and thereby provides a wealth of technological information that can be used to solve related problems.
Manuscripts that address all fields of applications of acoustics ranging from medicine and NDT to the environment and buildings are welcome.