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Damped wave harmonics

Discussion in 'Electronic Design' started by Bob Stern, Jun 4, 2007.

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  1. Bob Stern

    Bob Stern Guest

    Can anyone tell me if damped waves (ringing), by their nature,
    incorporate harmonics of the fundamental frequency?

    Bob Stern
     
  2. D from BC

    D from BC Guest

    I'm no math genius nor do I claim I'm correct but I'll guess
    yes..A damped wave "'ping, boing, pong, thump" contains harmonics.
    In order for amplitude to change..there must be distortion and
    distortion is composed of harmonics and these harmonics are above and
    related to the fundamental frequency.
    I think everything has harmonics with the exception of a pure
    continuous tone..and no signal..

    D from BC
     
  3. D from BC

    D from BC Guest

    oops pure continuous sine wave not tone..
    1:22am in BC...zzzzzz :p
    D from BC
     
  4. redbelly

    redbelly Guest

    No, not harmonics. But it will contain extra frequencies in a narrow
    band around the "fundamental". The width of the band is determined by
    the decay time, i.e. a longer decay time results in a narrower
    frequency band than a shorter decay time.

    Harmonics appear when you are dealing with a periodic signal, which
    this example isn't.

    Regards,

    Mark
     
  5. MooseFET

    MooseFET Guest

    That last bit is a little over simplified. A decaying squarewave has
    the harmonics. There is a band around each that is the sidebands for
    its decay. When you have a signal that you would describe as a
    modulated version of some periodic function, the frequency content can
    be described as having harmonics and side bands around them.
     
  6. redbelly

    redbelly Guest

    Well, yeah, but that's because it is a square wave. The harmonics
    don't come about as a result of the decaying.

    I interpreted the OP's question as to whether decaying of a wave will
    generate harmonics. The answer is no.

    Mark
     
  7. MooseFET

    MooseFET Guest

    Yes, that is one way to take his question. Another would be to take
    it as "do the other frequencies no longer land on multiples of the
    fundamental". This is more along the line I took it.

    Hopefully the OP is reading and now has more information than he
    wanted.
     
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