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Interpolation and Display of Microphone Directivity Measurements Using Higher Order Spherical Harmonics

The accurate display of frequency dependent polar response data of microphones has largely relied on the use of a defined set of test frequencies and a simple overlay of two-dimensional plots. In recent work, a novel approach to digital displays without fixed frequency points was introduced. Building on this, an enhanced interpolation algorithm is presented, using higher-order spherical harmonics for angular interpolation. The presented approach is compared to conventional interpolation methods in terms of computational cost and accuracy. In addition, a three-dimensional data processing prototype for the creation of interactive, frequency-dependent, three-dimensional microphone directivity plots is presented.

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