Spatial Matrix synthesis is presented in this paper. This modulation synthesis technique creates acoustic velocity fields from acoustic pressure signals by using spatial transformation matrices, thus generating complete sound fields for spatial audio. The analysis presented here focuses on orthogonal rotation matrices in both two and three dimensions and compares the results in each scenario with other sound modulation synthesis methods, including amplitude and frequency modulation. As an alternative method for spatial sound synthesis that exclusively modifies the acoustic velocity vector through effects comparable to those created by both amplitude and frequency modulations, Spatial Matrix synthesis is argued to generate inherently spatial sounds, giving this method the potential to become a new musical instrument for spatial music.
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