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The present document reviews the mathematics behind binaural rendering ofsound fields that are available as spherical harmonic expansion coefficients.This process is also known as binaural ambisonic decoding. We highlight thatthe details entail some amount peculiarity so that one has to be well aware ofthe precise definitions that are chosen for some of the involved quantities toobtain a consistent formulation. We also discuss what sets of definitionsproduce ambisonic signals that are compatible with the most common softwaretools that are available.

Binaural Audio Rendering in the Spherical Harmonic Domain: A Summary of the Mathematics and its Pitfalls