Tonal Correction Filter
Let denote the component of the impulse response arising from
the
th pole of the system. Then the energy associated with that pole
is
![$\displaystyle {\cal E}_k \eqsp \sum_{n=0}^\infty \left\vert h_k(n)\right\vert^2.
$](http://www.dsprelated.com/josimages_new/pasp/img885.png)
![$ E(z)$](http://www.dsprelated.com/josimages_new/pasp/img747.png)
In the case of the first-order delay-line filters discussed in §3.7.5, good tonal correction is given by the following one-zero filter:
![$\displaystyle E(z) \eqsp \frac{ 1 - bz^{-1}}{1-b}
$](http://www.dsprelated.com/josimages_new/pasp/img886.png)
![$\displaystyle b \eqsp \frac{1-\alpha}{1+\alpha}
$](http://www.dsprelated.com/josimages_new/pasp/img887.png)
![$ \alpha$](http://www.dsprelated.com/josimages_new/pasp/img888.png)
![$ \,$](http://www.dsprelated.com/josimages_new/pasp/img196.png)
Next Section:
FDNs as Digital Waveguide Networks
Previous Section:
Spectral Coloration Equalizer