Next  |  Prev  |  Up  |  Top  |  JOS Index  |  JOS Pubs  |  JOS Home  |  Search

First-Order Delay-Filter Design

Jot used first-order loss filters for each delay line:

$\displaystyle G_i(z) = g_i \frac{1-a_i}{1-a_iz^{-1}}
$

Design formulas:

\begin{eqnarray*}
g_i &=& 10^{-3 M_i T / t_{60}(0)}\\
a_i &=& \frac{\mbox{ln}(10)}{4}\log_{10}(g_i)\left(1-\frac{1}{\alpha^2}\right)
\end{eqnarray*}

where

$\displaystyle \alpha \mathrel{\stackrel{\mathrm{\Delta}}{=}}\frac{t_{60}(\pi/T)}{t_{60}(0)}
$


Next  |  Prev  |  Up  |  Top  |  JOS Index  |  JOS Pubs  |  JOS Home  |  Search

Download Reverb.pdf
Download Reverb_2up.pdf
Download Reverb_4up.pdf

``Artificial Reverberation and Spatialization'', by Julius O. Smith III, (From Lecture Overheads, Music 420).
Copyright © 2014-03-24 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
CCRMA  [Automatic-links disclaimer]