Chuckk Hubbard wrote:
One more question... regarding how filters work, is there no intuitive way to express it?
For me, the most intuitive way to explain a filter is looking at convolution. Every linear filter can be described as a convolution of a signal with the impulse response of a filter. Although, any pole in a filter leads to a impulse response with infinite length and for the explanation it's easier to look at a finite impulse response.
A great link to explain filtering by convolution is the "joy of convolution": http://www.jhu.edu/~signals/convolve/ There is a java applet where you can play with convolution a little bit...
br,
Piotr