If ‘r’ is the code rate and ‘dfree’ is the free distance of the convolutional code, then the Asymptotic codic gain of a binary symmetric channel is:
1
\(10{\log _{10}}\left( {\frac{{{d_{free}}.r}}{2}} \right)\left( {dB} \right)\)
2
10 log10(dfree.r) (dB)
3
\(10\;{\log _{10}}\left( {\frac{{{d_{free}}}}{{2.r}}} \right)\left( {dB} \right)\)
4
\(10\log \left( {\frac{{{d_{free}}}}{r}} \right)\left( {dB} \right)\)