Hi, I want to design a 3D-Audio loudspeaker system on a hemisphere compatible with Ambisonics playback. The system should have a horizontal ring of speakers but there is no restriction in number of Loudspeakers (so far!) and the elevated positions.
So my concern is with finding a uniform distribution of points on a hemisphere. Assuming L available points my approach of checking uniformity is that: - Making an educated guess of a L-point distribution on hemisphere - Mirror down to southern hemisphere to get a full sphere point distribution LS - Compute Spherical Harmonic matrix Y with order N <= sqrt(LS)-1 - Compute condition Number, k = cond(Y'*Y) - If k is close to one, the distribution is quite uniform This seems reasonable because for platonic solids this result in k=1. Is the resulting layout than able to decode Ambisonics of order N (that fits to LS speakers) although (N+1)^2 >> L? I guess that is dependent on the exact decoder!? I found that if N << sqrt(LS)+1 the condition number is nearly always low. Is that because many points sample a low number of spherical harmonics anyway uniformly? Thanks for response Best Fabio _______________________________________________ Sursound mailing list Sursound@music.vt.edu https://mail.music.vt.edu/mailman/listinfo/sursound
