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LTI Lissajous explanation document

Discussion in 'Electronic Basics' started by Ted Pavlic, Oct 3, 2008.

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  1. Ted Pavlic

    Ted Pavlic Guest

    I teach an introductory course on basic electronics and
    instrumentation. I recently put together a document on using Lissajous
    figures to experimentally determine the phase shift of an LTI system.
    I thought someone here might find it useful:

    It's a short document (2 pages). I included a couple of graphics that
    I think could be helpful.

    *) The graphic on the first page shows how to use the shape and
    rotation direction of the Lissajous figure to properly place the phase
    shift (i.e., determine which quadrant the angle is in).

    *) The graphic on the second page gives a simple laboratory procedure
    for determining phase shift (including steps that put the phase shift
    in the correct quadrant).
  2. Ted Pavlic

    Ted Pavlic Guest

    That's an accurate statement (in my experience). The last time I saw a
    I appreciate that, and so do the students, but the laboratory
    experience (which is out of my hands) is pedagogical. It's not
    entirely about training in modern methods. For sophomores in college,
    there's plenty of value in this exercise (which is prefixed by plenty
    of "In the old days, before engineers knew how to add, . . ." so that
    I don't feel disingenuous). The equipment is there as a vehicle for
    education; the training is just bonus, and there will be plenty of
    modern training.

    I haven't seen many good references on Lissajous figures for this
    application, and those that I've found are either inaccessible to
    sophomores or lack too few details to be useful. I'm trying to fill
    that gap a little with that document, and I thought a few people might
    be interested.
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