One-Zero Loop Filter
If we relax the constraint that
be odd, then the simplest case
becomes the one-zero digital filter:
![$\displaystyle {\hat G}(z) = {\hat g}(0) + {\hat g}(1) z^{-1}
$](http://www.dsprelated.com/josimages_new/pasp/img1958.png)
![$ {\hat g}(0)={\hat g}(1)$](http://www.dsprelated.com/josimages_new/pasp/img1959.png)
![$ 1/2$](http://www.dsprelated.com/josimages_new/pasp/img77.png)
![$ {\hat g}(0) = {\hat g}(1) = 1/2$](http://www.dsprelated.com/josimages_new/pasp/img1960.png)
![$ {\hat G}(e^{j\omega T}) = \cos\left({\omega T/ 2}\right),\,\left\vert\omega\right\vert\leq \pi f_s$](http://www.dsprelated.com/josimages_new/pasp/img1961.png)
See [454] for related discussion from a software implementation perspective.
Next Section:
The Karplus-Strong Algorithm
Previous Section:
Length FIR Loop Filter Controlled by ``Brightness'' and ``Sustain''