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In this paper, the fundamental throughput limits and extremums of theinvariant criteria of energy, power and spectral efficiency of the physicallayer (PHY) and medium access control (MAC) sublayer are proved. The invariantcriteria are constructed relying on Shannon m-ary digital channel capacitywhich a rich palette of the technically interpreted physical and controlparameters consider. Therefore, the invariant criteria as very suitable forresearch and design of the fifth generation (5G) communications extremelyperformance problems are found. The smart distributed control techniques whichable implements on-the-fly the limits close and invariant criterionoptimization or trade-off is proposed. Such smart control techniques representa key disruptive technology meet the 5G and Beyond 5G network challenges.

An Extremely Flexible, Energy, and Spectral Effective Green PHY-MAC for Profitable Ubiquitous Rural and Remote 5G/B5G IoT/M2M Communications