Spherical harmonic covariance and magnitude function encodings for beamformer design

Author:

Luo Yuancheng

Abstract

AbstractMicrophone and speaker array designs have increasingly diverged from simple topologies due to diversity of physical host geometries and use cases. Effective beamformer design must now account for variation in the array’s acoustic radiation pattern, spatial distribution of target and noise sources, and intended beampattern directivity. Relevant tasks such as representing complex pressure fields, specifying spatial priors, and composing beampatterns can be efficiently synthesized using spherical harmonic (SH) basis functions. This paper extends the expansion of common stationary covariance functions onto the SHs and proposes models for encoding magnitude functions on a sphere. Conventional beamformer designs are reformulated in terms of magnitude density functions and beampatterns along SH bases. Applications to speaker far-field response fitting, cross-talk cancelation design, and microphone beampattern fitting are presented.

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Acoustics and Ultrasonics

Reference37 articles.

1. M. Abramowitz, I. A. Stegun (eds.), Handbook of mathematical functions with formulas, graphs, and mathematical tables. Vol. 55 (US Government printing office, 1972).

2. J. Ahrens, M. R. P. Thomas, I. Tashev, in Proceedings of The 2012 Asia Pacific Signal and Information Processing Association Annual Summit and Conference, Hollywood, California, USA. HRTF magnitude modeling using a non-regularized least-squares fit of spherical harmonics coefficients on incomplete data, (2012).

3. J. Ahrens, S. Bilbao, Computation of spherical harmonic representations of source directivity based on the finite-distance signature. IEEE/ACM Trans. Audio Speech Lang. Process.29:, 83–92 (2020).

4. G. Arfken, “Spherical Harmonics” and “Integrals of the Products of Three Spherical Harmonics.” §12.6 and 12.9 in Mathematical Methods for Physicists, 3rd ed (Academic Press, Orlando, 1985).

5. A. Chhetri, M. Mansour, W. Kim, G. Pan, in 2019 27th European Signal Processing Conference (EUSIPCO). On acoustic modeling for broadband beamforming (IEEE, 2019), pp. 1–5.

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3