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Spectral Impairment of Two-Dimensional Higher Order Ambisonics

When reproducing a two-dimensional higher order Ambisonic soundfield with a uniformly distributed loudspeaker array, there is a tradeoff that depends on the radius of the reproduction area, the order, and the wave number. For classical first-order Ambisonics, perfect reconstruction is possible in a tiny sweet spot, and filtering can be used with a larger number of loudspeakers. However, for a larger sweet spot, higher order Ambisonics must be used and the number of loudspeakers must be matched to the order because filter compensation is not possible. The number of loudspeakers is a tradeoff between spectral impairment at high frequencies and reproduction errors at low frequencies.

 

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