| David's question about butterworth filters evoked some
old-time memories from the time (some 20 years ago) when I was
designing analog synthesizers and other electronic music
equipment.
One thing I remember from that time is that cascading lower
order filters does not result in a higher order filter *unless*
you include some form of feedback. The effect of cascading, for
example, three low-pass second-order Butterworth filters is
a low-pass filter with a slope of 36db/octave, but with a very
round cut-off region (i.e. the steep slope doesn't start right
away after the cut-off frequency). The feedback helps to make
this point "sharper" (This though to explain with pictures and I
don't want to bore you with 10k words ;-)
I used to be able to design filters and work with poles and zeros.
It is part of standard analog filter theory, so may be you can find
a book about it. If I can find my notes, I might want to try it
out myself, which I will let you know.
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