On Wednesday 19 December 2001 08:39 pm, Paul Davis wrote:
> >Just curious, but could somebody explain *how* delay lines can be used
> >implement EQ? I have a strong maths background, but no DSP experience if
> >that helps.

> i'm not a dsp programmer, but its really quite simple. if you
> feedback with a delay of just 1 sample, and attenutate both the
> current and previous sample by 0.5:

> the actual details are extremely hairy though - there is a lot of
> sophisticated math that goes into really good filter design, plus a
> lot of subjective, non-double blind tested "opinion" :)

In short: Z transforms are your friend.  Once I grasped what the Z transform 
did for you in control systems theory, I immediately realized that filtering 
is a natural for Z transform math.

But, in a nutshell:

Delaying a set time and adding back to the original produces a 'comb' filter. 
The amount of the delay and the depth of the readdition together produce 
various degrees of filtering.  Notch filters are easiest with delays -- delay 
one half cycle at the notch and add back one hundred percent.  You get a 
rather tight notch.  Along with other neat effects. :-)  Like the peak at 
twice the notch frequency.... :-)  And the secondary notch at thrice the 
notch frequency.  Even multiples peak, odd multiples notch -- thus a comb 
filter.

Comb filters are used rather nicely in chroma/luma separation in Never The 
Same Color video.
-- 
Lamar Owen
WGCR Internet Radio
1 Peter 4:11

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