南京大学学报(自然科学版)
南京大學學報(自然科學版)
남경대학학보(자연과학판)
JOURNAL OF NANJING UNIVERSITY(NATURAL SCIENCES)
2006年
4期
384-394
,共11页
声源定位%球谐函数%球麦克风阵列
聲源定位%毬諧函數%毬麥剋風陣列
성원정위%구해함수%구맥극풍진렬
sound localization%spherical harmonic%spherical microphone array
由于球麦克风阵列本身结构的特殊性,目前它广泛的应用于声场录制、波束形成、声场重现和声场分析等等领域.利用球麦克风阵列的对称性进行三维空间的多声源定位,和传统的声源定位方法不一样,通过分析声波传播的物理特性,采用球谐函数声场分解的方法,研究和探讨了离散的球麦克风阵列求解多声源情况下球散射声场球谐系数的方法,同时采用球傅立叶变换的方法分析了多声源情况下声场的指向性因子的变化情况,并由该指向性因子的等高线图确定了三维空间中的各个声源方向.同时还大致分析了麦克风阵列的离散化所导致的声场分解的误差,讨论了麦克风阵列的大小、麦克风位置以及声场分解模态的高低对声源定位精度的影响,最后采用了遗传算法对球麦克风阵列的麦克风位置进行设计和优化,提出了在有实际应用条件限制下设计优化球麦克风阵列的一种方法.计算机模拟表明,基于声场球谐系数求解和球傅立叶变换的方法可以同时有效的确定三维空间中任意方向的多个声源的方向.
由于毬麥剋風陣列本身結構的特殊性,目前它廣汎的應用于聲場錄製、波束形成、聲場重現和聲場分析等等領域.利用毬麥剋風陣列的對稱性進行三維空間的多聲源定位,和傳統的聲源定位方法不一樣,通過分析聲波傳播的物理特性,採用毬諧函數聲場分解的方法,研究和探討瞭離散的毬麥剋風陣列求解多聲源情況下毬散射聲場毬諧繫數的方法,同時採用毬傅立葉變換的方法分析瞭多聲源情況下聲場的指嚮性因子的變化情況,併由該指嚮性因子的等高線圖確定瞭三維空間中的各箇聲源方嚮.同時還大緻分析瞭麥剋風陣列的離散化所導緻的聲場分解的誤差,討論瞭麥剋風陣列的大小、麥剋風位置以及聲場分解模態的高低對聲源定位精度的影響,最後採用瞭遺傳算法對毬麥剋風陣列的麥剋風位置進行設計和優化,提齣瞭在有實際應用條件限製下設計優化毬麥剋風陣列的一種方法.計算機模擬錶明,基于聲場毬諧繫數求解和毬傅立葉變換的方法可以同時有效的確定三維空間中任意方嚮的多箇聲源的方嚮.
유우구맥극풍진렬본신결구적특수성,목전타엄범적응용우성장록제、파속형성、성장중현화성장분석등등영역.이용구맥극풍진렬적대칭성진행삼유공간적다성원정위,화전통적성원정위방법불일양,통과분석성파전파적물리특성,채용구해함수성장분해적방법,연구화탐토료리산적구맥극풍진렬구해다성원정황하구산사성장구해계수적방법,동시채용구부립협변환적방법분석료다성원정황하성장적지향성인자적변화정황,병유해지향성인자적등고선도학정료삼유공간중적각개성원방향.동시환대치분석료맥극풍진렬적리산화소도치적성장분해적오차,토론료맥극풍진렬적대소、맥극풍위치이급성장분해모태적고저대성원정위정도적영향,최후채용료유전산법대구맥극풍진렬적맥극풍위치진행설계화우화,제출료재유실제응용조건한제하설계우화구맥극풍진렬적일충방법.계산궤모의표명,기우성장구해계수구해화구부립협변환적방법가이동시유효적학정삼유공간중임의방향적다개성원적방향.
Spherical microphone arrays have been recently applied in sound recordings, beamforming,sound field reproduction and sound field analysis, as they have the advantage of spherical-symmetryfacilitating three-dimensional analysis. This paper is concerned with the problem of localization of single and multiple sources in 3D space using spherical microphone array according to the symmetry of this configuration. In contrast to existing sound localization techniques, this method takes the physics of wave propagation into account. 3D space sound fields are decomposed by using spherical harmonic as the basis functions by mounting a spherical array into a rigid sphere. Then we study the solution to the spherical harmonic coefficients of spherical scattering sound field with the existence of multiple acoustic sources.The spherical transform is used to analyze the multiple acoustic sources, which shows the diversification of the directivity of the sound field. And then the contour of the directivity of the sound field can be used as a method of acoustic source localization.In addition, this paper discusses the factors which influence the accuracy of acoustic source localization, such as the number and the positions of microphone array, and the modal number of the sound field decomposition etc. Finally, a genetic algorithm is used to optimize the spherical microphone array. It is shown that acoustic source localization based on spherical harmonic coefficients and spherical Fourier transform has the potential to localize multiple simultaneous sources in the array's full 360 degrees field-of-view.