Acoustic reciprocity in the spherical harmonic domain: A formulation for directional sources and receivers

Xu Z, Herzog A, Lodermeyer A, Habets E, Prinn AG (2022)

Publication Type: Journal article

Publication year: 2022

Journal

JASA Express Letters Acoustical Society of America (ASA)

Book Volume: 2

Journal Issue: 12

DOI: 10.1121/10.0016542

Abstract

Acoustic reciprocity states that the transfer function between a source and a receiver remains unchanged if the two are interchanged. An extension of acoustic reciprocity to the spherical harmonic domain has been derived in the literature between a directional source and a directional receiver. The present letter derives a reciprocal relation between source and receiver directivity coefficients, which facilitates the derivation of a transfer function in the spherical harmonic domain using directivity coefficients obtained via reciprocity. Additionally, reciprocity between transfer functions is extended for more general source and receiver directivities, which include acoustic scattering effects.

Authors with CRIS profile

Zeyu Xu International Audio Laboratories Erlangen (AudioLabs) Adrian Herzog International Audio Laboratories Erlangen (AudioLabs) Emanuël Habets Lehrstuhl für wahrnehmungsbasierte räumliche Audiosignalverarbeitung (Stiftungslehrstuhl)

Involved external institutions

Fraunhofer-Institut für Integrierte Schaltungen (IIS) DE Germany (DE)

How to cite

APA:

Xu, Z., Herzog, A., Lodermeyer, A., Habets, E., & Prinn, A.G. (2022). Acoustic reciprocity in the spherical harmonic domain: A formulation for directional sources and receivers. JASA Express Letters, 2(12). https://doi.org/10.1121/10.0016542

MLA:

Xu, Zeyu, et al. "Acoustic reciprocity in the spherical harmonic domain: A formulation for directional sources and receivers." JASA Express Letters 2.12 (2022).

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