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BPSK AWGN variance calculation from SNR

Discussion in 'Electronic Design' started by Sherrie Laraurens, Feb 18, 2007.

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  1. Hi all,

    I'm trying to write a simple BPSK through an AWGN channel.
    I'm currently taking a file of binary data and going 1 bit
    at a time through it and doing the following:
    if the bit is 1 equate the bpsk form to +1/sqrt(2)
    if the bit is 0 equate the bpsk form to -1/sqrt(2)

    So far so go, now I want to simulate an AWGN channel, with
    the hopes of calculate a BER from between what went into
    the AWGN channel and what came out.

    I've setup a Gaussian / normal distribution random number
    generator, with mean of 0.0, but I've having difficulty
    calculating the variance. I'm simulating this only using
    Eb/No or SNR in dB form.

    Is the formula for variance like so:

    sigma = sqrt(1.0 / 2.0 * 10 ^ ((Eb/_No) / 10.0));

    or

    sigma = sqrt(1.0 / 2.0 * 10 ^ (SNR / 10.0));


    all help and comments will be appreciated very much.



    -Sherrie
     
  2. joseph2k

    joseph2k Guest

    Lookup Shannon's law.
     
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