DmcsConstellation

The M-PSK ensemble, its effective state, and the gap to Gaussian modulation

3/3 passed in 0ms

Test	What it does	Result
test_moments_saturate	At $\alpha =0.4$ the $m=6$ correlation is within 1.8e-6 relative of the $m\to \mathrm{\infty }$ value, both pinned to 1e-12.	✅ pass
test_penalty_positive	$w$ is positive and finite for $m$ from 3 to 64 and $\alpha$ from 0.1 to 3.	✅ pass
test_states_ring	dm_states lays m amplitudes of modulus $\alpha$ at equal angles, the first on the positive real axis.	✅ pass