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Analysis on the Timbre Coloration of Wave Field Synthesis Using a Binaural Loudness Model

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Wave field synthesis (WFS) aims to reconstruct a target sound field within an extending region. An ideal WFS system requires continuous loudspeakers array. Discrete loudspeaker array in practical WFS causes spatial aliasing errors above the Nyquist frequency limit, and thus results in timbre coloration. The present work analyzes the timbre in WFS using Moore’s modified binaural loudness model, in which the binaural loudness level spectra is used as a criterion to evaluate the timbre coloration. The results prove that timbre coloration reduces with the increasing distance between field point and active loudspeakers; and reducing the space between adjacent loudspeakers reduces perceivable timbre coloration. A psychoacoustic experiment yields consistent results with those of analysis, and therefore validates the proposed method.

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