If a complex random variable x is circularly symmetric standard gaussian $ x = CN (0,1)$ then what we can say about its amplitude and phase.
2026-03-30 02:07:55.1774836475
What is the distribution of amplitude and phase of circularly symmetric normal random variable.
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With circular symmetry the phase in uniform $U[0,2\pi]$, and the amplitude is half normal. The phase and amplitude are independent.