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Three-Channel Crosstalk Cancellation Mode Efficiency for Sources in the Far-Field

The singular value decomposition is used to analyse the generalised modes of the radiation matrix for a symmetric three-channel crosstalk cancellation loudspeaker system assuming plane wave sources in free-field. The addition of a third centre source acts as a physical lossless regularisation that dramatically improves the efficiency of the in-phase mode. In addition, the singular value decomposition is used to analyse the source strength solution for a plane wave virtual source. The validity of the derived source strengths for real systems is shown by comparison of the analytical function to source strengths calculated using KEMAR head-related transfer functions. The analytical formula is shown to be accurate up to approximately 700 Hz in far-field and anechoic conditions.

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