Choice of Loss Gains $g_i$

• To set the reverberation time $t_{60}$ , we need to move the poles of the lossless prototype slightly inside the unit circle

• The scaling coefficients $g_i$ can accomplish this for $0<g_i<1$

• Since high-frequencies decay faster in propagation through air, we want to move the high-frequency poles farther in than low-frequency poles

• Therefore, we need to generalize $g_i$ above to $G_i(z)$ , with $\vert G_i(e^{j\omega T})\vert\le 1$ imposed to ensure stability