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Gaussian pulse

Discussion in 'Electronic Basics' started by thejim, Feb 12, 2006.

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  1. thejim

    thejim Guest

    Regarding the Gaussian pulse of transmitter it says that the spectrum
    is also gaussian.
    I assume that it means the frequency spectrum.Can someone please
    elaborate litle on the term "Gaussian frequency spectrum".
  2. PeteS

    PeteS Guest

    Gaussian distribution (also known as normal distribution) is a
    probability density where samples are evenly distributed about the mean
    (equal energy at +/- sigma, +/- 2 sigma etc., and all points in
    between) and where the peak density occurs at the mean (for a single
    gaussian function).
    This is also known as a bell curve because the graphical representation
    resembles the shape of a bell.
    If you are unfamiliar with fundamental statistics you might have a hard
    time reading about it.

    See this article:

    or just search for Gaussian distribution.

    You are correct in assuming the frequency spectrum is being referred to
    - the distribution of energy in the frequency domain shows the power
    density function of the transmitter in your case.


  3. Bob Masta

    Bob Masta Guest

    A Gaussian is a mathematical construct that is the same shape
    in both the time domain and the frequency domain. Most other
    functions are quite different. Typically, things that are isolated
    events in one domain have broad extent in the other. Think of
    a continuous sine wave in the time domain: It's spectrum is
    just a single line. Conversely, a single narrow pulse in the time
    domain has a broad spectrum. The Gaussian is sorta like
    the "happy medium" in that it is fairly discrete but also fairly
    extended, so it looks the same in both domains.

    Note that a true Gaussian has infinite extent, so you will
    probably never encounter one in the real world. (And how
    would you know if you did?!) Usually, in order to get on
    with our lives, we have to truncate the tails and accept
    the consequences in the other domain.

    Hope this helps!

    Bob Masta

    D A Q A R T A
    Data AcQuisition And Real-Time Analysis
    Home of DaqGen, the FREEWARE signal generator
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