Parameterization of the three-dimensional room transfer function in horizontal plane | Zendy

Bing Bu | Zendy; Thushara D. Abhayapala | Zendy; Changchun Bao | Zendy; Wen Zhang | Zendy

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Parameterization of the three-dimensional room transfer function in horizontal plane

Author(s) -

Bing Bu,

Thushara D. Abhayapala,

Changchun Bao,

Wen Zhang

Publication year - 2015

Publication title -

the journal of the acoustical society of america

Language(s) - English

Resource type - Journals

eISSN - 1520-8524

pISSN - 0001-4966

DOI - 10.1121/1.4929630

Subject(s) - horizontal plane , azimuth , plane (geometry) , legendre function , position (finance) , spherical harmonics , transfer function , harmonic , concentric , point (geometry) , function (biology) , legendre polynomials , vertical plane , harmonic function , geometry , physics , mathematics , mathematical analysis , acoustics , computer science , evolutionary biology , electrical engineering , economics , biology , engineering , telecommunications , finance

This letter proposes an efficient parameterization of the three-dimensional room transfer function (RTF) which is robust for the position variations of source and receiver in respective horizontal planes. Based on azimuth harmonic analysis, the proposed method exploits the underlying properties of the associated Legendre functions to remove a portion of the spherical harmonic coefficients of RTF which have no contribution in the horizontal plane. This reduction leads to a flexible measuring-point structure consisting of practical concentric circular arrays to extract horizontal plane RTF coefficients. The accuracy of the above parameterization is verified through numerical simulations.

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