For uncoded complex input signals, the AWGN Channel block relates
*E*_{b}/*N*_{0,
}*E*_{s}/*N*_{0},
and SNR according to these equations:

*E*_{s}/*N*_{0}
=
(*T*_{sym}/*T*_{samp})
· *SNR*

*E*_{s}/*N*_{0}
=
*E*_{b}/*N*_{0}
+ 10log_{10}(*k*) in dB

*E*_{s} represents the signal energy in
joules.

*E*_{b} represents the bit energy in
joules.

*N*_{0} represents the noise power spectral
density in watts/Hz.

*T*_{sym} represents the Symbol period (s) parameter of the block in `Es/No`

mode.

*k* represents the number of information bits per input symbol,
Number of bits per symbol.

*T*_{samp} represents the inherited sample time
of the block, in seconds.

For real signal inputs, the AWGN Channel block relates
*E*_{s}/*N*_{0
}and SNR according to this equation:

*E*_{s}/*N*_{0}
= 0.5
(*T*_{sym}/*T*_{samp})
· *SNR*

### Note

All values of power assume a nominal impedance of 1 ohm.

The equation for the real case differs from the corresponding equation for the
complex case by a factor of 2. Specifically, the object uses a noise power
spectral density of *N*_{0}/2 watts/Hz for
real input signals, versus *N*_{0} watts/Hz
for complex signals.

For more information, see AWGN Channel Noise Level.