Spatial Matrix Synthesis

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.