The following paper is excellent and not totally irrelevant: http://home.agh.edu.pl/~turcza/sr/Splitting%20the%20Unit%20Delay.pdf http://home.agh.edu.pl/~turcz

The following paper is excellent and not totally irrelevant: http://home.agh.edu.pl/~turcza/sr/Splitting%20the%20Unit%20Delay.pdf http://home.agh.edu.pl/~turcza/sr/Splitting%20the%20Unit%20D... The effects you're describing (blurring, numerical stability) are readily formalized in DSP jargon. It's a shame this post didn't provoke more discussion here.