Eigen-Beam Processing for Direction-of-Arrival Estimation Using Spherical Apertures

Teutsch H, Kellermann W (2005)


Publication Language: English

Publication Type: Conference contribution

Publication year: 2005

Event location: Piscataway, NJ US

DOI: 10.1.1.142.1004

Abstract

In [1] a method of decomposing a 3D wave field into spherical harmonics (’eigen-beams’) by using spherical microphone arrays was introduced. It was further shown how the eigen-beams can be used for beamforming applications by means of a modal beamformer structure. This paper introduces a method for the unambiguous localization of multiple wideband acoustic sources in 3D space using the eigen-beams of [1]. It was shown in [1] that the response of a continuous spherical aperture of radius R to a plane wave impinging from (θ, φ), can be expressed as, F m n (kR, θ, φ) = i n bn(kR)Y m n (θ, φ) ∗ = i n bn(kR) where (·) ∗ denotes the conjugate complex operation, i 2 = −1, k is the wavenumber, Y m n n and degree m, P m n (·) is the associated Legendre function of order n and degree m, and ⎨ jn(kR) bn(kR) = jn(kR) − h(1) ′ n j ′ n (kR) h(1)

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How to cite

APA:

Teutsch, H., & Kellermann, W. (2005). Eigen-Beam Processing for Direction-of-Arrival Estimation Using Spherical Apertures. In Proceedings of the Conf. Rec. Joint Workshop for Hands-Free Speech Communication and Microphone Arrays (HSCMA). Piscataway, NJ, US.

MLA:

Teutsch, Heinz, and Walter Kellermann. "Eigen-Beam Processing for Direction-of-Arrival Estimation Using Spherical Apertures." Proceedings of the Conf. Rec. Joint Workshop for Hands-Free Speech Communication and Microphone Arrays (HSCMA), Piscataway, NJ 2005.

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