Converts from $S/N$ to $E_b/N_0$.

Parameters:¶

snr: ArrayLike¶

Signal-to-noise ratio $S/N$ in dB.

bps: ArrayLike¶

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

rate: ArrayLike = 1.0¶

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

sps: ArrayLike = 1¶

Samples per symbol $f_s/f_{sym}$.

Returns:¶

The bit energy $E_b$ to noise PSD $N_0$ ratio in dB.

Examples

Convert from $S/N=5$ dB to $E_b/N_0$ for a 4-QAM signal with $r=2/3$ and 1 sample per symbol.

In [1]: sdr.snr_to_ebn0(5, 2, rate=2/3, sps=1)
Out[1]: 3.7506126339170005

Convert from $S/N=10$ dB to $E_b/N_0$ for a 16-QAM signal with $r=1$ and 4 samples per symbol.

In [2]: sdr.snr_to_ebn0(10, 4, rate=1, sps=4)
Out[2]: 10.0