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Application of Matrix Analysis for Derivation of Acoustical Impedance of Horns

The direct measurement of a horn’s acoustical impedance requires knowledge of both the sound pressure and volume velocity at the throat of the horn. While measuring sound pressure is trivial, the measurement of volume velocity requires special equipment. This work proposes a new derivation method for the acoustical impedance of a horn. The method is based on matrix analysis and consists of two stages: derivation of the compression driver’s square transfer matrix of A-parameters, and measurement of electrical impedance and sound pressure at the throat of the horn. These functions yield two matrix equations that relate measured sound pressure and electrical impedance, which allows for an acoustical impedance derivation of the horn. A comparison with COMSOL simulation is provided.

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