Equation of SNR versus sigma square for BPSK

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chessmath2009
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I would like to know in the following equation (attached) how can I incorporate BER for BPSK? is BER the same as Rc?
The equation is relation between SNR and sigma square.
 

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Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?