Open AccessReproduction of a higher-order circular harmonic field using a linear array of loudspeakers
Author(s) -
Jungmin Lee,
JungWoo Choi,
Yang-Hann Kim
Publication year - 2015
Publication title -
the journal of the acoustical society of america/the journal of the acoustical society of america
Language(s) - English
Resource type - Journals
eISSN - 1520-8524
pISSN - 0001-4966
DOI - 10.1121/1.4905880
Subject(s) - loudspeaker , harmonics , acoustics , harmonic , field (mathematics) , directional sound , spherical harmonics , sound recording and reproduction , variation (astronomy) , phase (matter) , harmonic analysis , circular buffer , mathematics , physics , computer science , mathematical analysis , quantum mechanics , voltage , astrophysics , pure mathematics , programming language
This paper presents a direct formula for reproducing a sound field consisting of higher-order circular harmonics with polar phase variation. Sound fields with phase variation can be used for synthesizing various spatial attributes, such as the perceived width or the location of a virtual sound source. To reproduce such a sound field using a linear loudspeaker array, the driving function of the array is derived in the format of an integral formula. The proposed function shows fewer reproduction errors than a conventional formula focused on magnitude variations. In addition, analysis of the sweet spot reveals that its shape can be asymmetric, depending on the order of harmonics.