Non-precoded Gaussian inputs are optimal for SOP and EPSR under uniformly less noisy channel order and for ESR under less noisy on average order, with closed forms for Rayleigh fading.
Comparison of two noisy channels,
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On the Optimum Secrecy Outage Probability and Ergodic Secrecy Rate over Wireless Channels
Non-precoded Gaussian inputs are optimal for SOP and EPSR under uniformly less noisy channel order and for ESR under less noisy on average order, with closed forms for Rayleigh fading.