[ibis-macro] Re: On impulse and step responses.

  • From: Gregory R Edlund <gedlund@xxxxxxxxxx>
  • To: DBanas@xxxxxxxxxx
  • Date: Thu, 20 Jun 2013 11:54:03 -0500

The Math is the Math.  Do not question it!

Seriously, though.  The other way to define an impulse response is the
response of a network to a very narrow triangular or Gaussian stimulus
(Dirac delta function), right?  This waveform certainly has unit of Volts.
The math must necessarily be different in these two cases for it to be
physically meaningful.

Greg Edlund
Senior Engineer
Signal Integrity and System Timing
IBM Systems & Technology Group
3605 Hwy. 52 N  Bldg 050-3
Rochester, MN 55901





From:   David Banas <DBanas@xxxxxxxxxx>
To:     "ibis-macro@xxxxxxxxxxxxx" <ibis-macro@xxxxxxxxxxxxx>
Date:   06/20/2013 09:52 AM
Subject:        [ibis-macro] On impulse and step responses.
Sent by:        ibis-macro-bounce@xxxxxxxxxxxxx



Hi all,

In our work, we often take as a priori that the impulse response is the
time derivative of the step response. As I puzzle over this further, I
realize that I’m stumped by something very fundamental, which is this:

A quantity, which is the time derivative of some other quantity, cannot
have the same units as that other quantity. And, yet, when we
discuss/measure/simulate either a step response or an impulse response, we
expect to be talking about / measuring / viewing a voltage as a function of
time, in both cases! How can this be?

Thanks,
-db




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