Converts from $E_b/N_0$ to $E_s/N_0$.

Parameters:¶

ebn0: ArrayLike¶

Bit energy $E_b$ to noise PSD $N_0$ ratio in dB.

bps: int¶

Bits per symbol ${\log }_{2}M$, where $M$ is the modulation order.

rate: int = 1¶

Code rate $r=k/n$, where $k$ is the number of information bits and $n$ is the number of coded bits.

Returns:¶

The symbol energy $E_s$ to noise PSD $N_0$ ratio in dB.

Examples¶

Convert from $E_b/N_0=5$ dB to $E_s/N_0$ for a 4-QAM signal with $r=2/3$.

In [1]: sdr.ebn0_to_esn0(5, 2, rate=2/3)
Out[1]: 6.249387366082999

Convert from $E_b/N_0=10$ dB to $E_s/N_0$ for a 16-QAM signal with $r=1$.

In [2]: sdr.ebn0_to_esn0(10, 4, rate=1)
Out[2]: 16.020599913279625