sdr.ClosedLoopPLL.phase_error_variance(cn0: float) → float

Returns the variance of the phase error of the PLL in steady state.

\[ \sigma_{\theta_e}^2 = \frac{N_0 B_n}{C} \]

Parameters:
cn0: float

The carrier-to-noise density ratio \(C/N_0\) of the input signal in dB-Hz.

Returns:

The variance of the phase error \(\sigma_{\theta_e}^2\) of the PLL in radians^2.

References

  • Michael Rice, Digital Communications: A Discrete-Time Approach, Equation C.43.

Examples

See the Phase-locked loops example.