Abstract
The plane wave decomposition is an efficient analysis tool for multidimensional fields, particularly well fitted to the description of sound fields, whether these ones are continuous or discrete, obtained by a microphone array. In this article, a beamforming algorithm is presented in order to estimate the plane wave decomposition of the initial sound field. Our algorithm aims at deriving a spatial filter which preserves only the sound field component coming from a single direction and rejects the others. The originality of our approach is that the criterion uses a continuous instead of a discrete set of incidence directions to derive the tap vector. Then, a spatial filter bank is used to perform a global analysis of sound fields. The efficiency of our approach and its robustness to sensor noise and position errors are demonstrated through simulations. Finally, the influence of microphone directivity characteristics is also investigated.
Highlights
Directional analysis of sound fields is determinant in domains such as the study of vibrating structures, source localization, and applications dedicated to the control of sound fields, like wave field synthesis [1, 2], sound systems based on spherical harmonics [3], and vector-base amplitude panning [4]
A more difficult path has been chosen to optimize the tap vector, but it enables to circumvent this problem: the tap vector is still computed in order that the corresponding spatial filter only preserves the sound field component coming from a particular incidence direction, but the criterion implemented to achieve this objective is evaluated on a continuous set of incidence directions spanning the whole solid angle instead of a discrete set of incidence directions
This section deals with the problem of the tap vector computation, and differentiates our approach from traditional approaches: rather than optimizing the tap vector over a discrete set of incidence directions, such as in [10,11,12], the optimization is applied over a continuous set of directions
Summary
Directional analysis of sound fields is determinant in domains such as the study of vibrating structures, source localization, and applications dedicated to the control of sound fields, like wave field synthesis [1, 2], sound systems based on spherical harmonics [3], and vector-base amplitude panning [4]. A more difficult path has been chosen to optimize the tap vector, but it enables to circumvent this problem: the tap vector is still computed in order that the corresponding spatial filter only preserves the sound field component coming from a particular incidence direction, but the criterion implemented to achieve this objective is evaluated on a continuous set of incidence directions spanning the whole solid angle instead of a discrete set of incidence directions This approach has been enabled by combining some results of linear acoustics theory and the efficiency of representation of nonuniformly spacesampled sound fields by the plane wave decomposition. The influence of microphone directivity characteristics is investigated
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