comnum.ce_ofdm_optimum_gain

comnum.ce_ofdm_optimum_gain(two_pi_h, theta_max=None)

The optimum asymptotic gain G of CE-OFDM over linear OFDM in AWGN, (2πh)², or (2πh)² erf(θ_max/(√2 · 2πh)) with the phase clipped to ±θ_max (Guerreiro et al. 2015, eq. (20); 2016, eq. (7)).

Parameters:

• two_pi_h (float) – 2πh.

• theta_max (float | None) – phase clipping (rad).

Returns:

G (linear).

Return type:

float

Examples

>>> import comnum, math
>>> round(10 * math.log10(comnum.ce_ofdm_optimum_gain(1.5)), 2)
3.52