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Re: 1/F per Gold book

2007-01-30 by mrcarp@comcast.net

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    Sorry, found this in the archives but it doesn't seem to completely answer my question. It helps, though!

    Bob Hearn wrote:

    6. You can make a Random Voltage Generator even without a Noise Source!
    John described how to turn the SSG into an RVG, with smooth, stepped,
    and pulse random voltage outputs. This is also described in the Gold
    book (page 5-39). This is an incredibly cool patch - if you fully
    understand it, you have got the SSG down. However, one thing is that
    that patch requires the S/H source from a Noise Source module (or a
    Random Source, which includes a Noise Source internally). That signal
    is a randomly modulated sawtooth wave. The idea is that every time you
    sample it (unless two sequential times are very close together), you
    get a random voltage. (Actually the Gold book mistakenly says to use
    the S/H output, not S/H source - that will not work.) Well, it turns
    out you can make an RVG even without a Noise Source! Just use a regular
    sawtooth wave instead of the S/H source, say from a PCO. (A DSG would
    also work.) Set the PCO to high range, with the frequency knob at 12
    'clock. Now, this signal is not randomly modulated, so you might think
    it would not work - you won't get a random voltage when you sample it.
    But in fact, the overall system is chaotic; the samples you get are
    actually random, because they are sampled at random intervals - because
    the patch in fact works! It's circular - the samples are random,
    because the patch output voltages are random, because the samples are
    random... but it works. I haven't done the hairy math to ensure that
    the system will never get locked into a repeating state, but the output
    looks the same to me as an actual RVG. In dynamical terms, I believe
    the cyclic states are unstable.

    Note that if the sawtooth PCO rate is much faster than 12 o'clock, the
    patch doesn't work - I think because the signal is changing too fast
    for the Stepped section to lock onto. This makes sense given #1 above;
    the Stepped module is actually slewing for a brief period, and not
    actually sampling. Setting the PCO rate to 12 o'clock roughly matches
    the S/H source signal's mean frequency, btw. Of course, this is really
    only useful if you happen to have an SSG but no Noise Source... still,
    I think it's cool that you can get your randomness for free, as it
    were.

    -------------- Original message ----------------------
    From: mrcarp@...
    > Furthermore, what is the 'randomly modulated sawtooth wave' at the S/H Output of
    > the Noise Source?
    > Can I use any random source to achieve the results on p. 5-39?
    > Can I use Pink Noise for the 1/F patch?
    >
    > -------------- Original message ----------------------
    > From: "simulacreant" <mrcarp@...>
    > > How do I patch the 1/F function per p. 5-38 of the Gold Book without a
    > > S/H Source on a NOISE module? What is the S/H Source, anyway? I see it
    > > on the RS module.
    > > Can I do this on my Animal panel, alone?
    > > Thanks!
    > >
    > >
    >
    >

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