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  3. Draw random numbers from a normal distribution in an Ocean...

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Draw random numbers from a normal distribution in an Ocean script

Alice92
Alice92 over 7 years ago

Hello,

I want to study the effect of the parameter variabilty of a verilogA component. I would like to draw random numbers from a normal distribution when using desVar in my Ocean script.

How could I do this?

Thank you very much for your help

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  • drdanmc
    drdanmc over 7 years ago

    I didn't see so much in the skill manual about generating random numbers from a normal distribution but you could use the Box-Mueller transform to get a sigma=1.0, mean=0.0 normally distributed random variable.  Then just scale by the sigma you want and offset by the mean you want.

    procedure( MYrandNorm() 
    let((w, u1, u2, x1, x2)
    w = 2.0
    while( w >= 1.0

    ;; what we really want here is something uniformly distributed on [0,1]

    u1=1.0*random(m.MAX_INT) / m.MAX_INT

    u2=1.0*random(m.MAX_INT) / m.MAX_INT

    x1 = 2.0 * u1 - 1.0

    x2 = 2.0 * u2 - 1.0
    w = x1*x1 + x2*x2
    )
    w = sqrt( (-2.0 * log(w) ) / w)
    y1 = x1*w
    y2 = x2*w

    ) ; ** let **
    )

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  • drdanmc
    drdanmc over 7 years ago
    minor correction, the u1,u2 generation should be
    u1 = 1.0*random(m.INT_MAX) / (m.INT_MAX - 1)
    u2 = 1.0*random(m.INT_MAX) / (m.INT_MAX - 1)

    note "INT_MAX", not "MAX_INT"
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  • Andrew Beckett
    Andrew Beckett over 7 years ago

    Dan, Alice92,

    Meant to post this link to an earlier post - I wrote some code earlier which does this too (using the same method).

    Of course, I would ask why you're not just using a monte carlo simulation to do this  - set up a statistics block with the distribution of the random variable - that means you can do it natively in the simulator?

    Regards,

    Andrew.

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  • Alice92
    Alice92 over 7 years ago
    Thank you all for you replies.
    I think the monte carlo method might be better indeed.
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