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Exact(13)
In Theorem 4.4 a lower bound for the ergodic distribution is obtained.
A bound for the ergodic distribution is given in Theorem 4.4 which is sharp.
A bound for the ergodic sum-rate is presented in "Ergodic sum-rate" section.
Since computing (32) is too complex, we derive a lower bound for the ergodic capacity.
Then, we employ matrix permanents to derive a closed-form tight upper bound for the ergodic sum capacity.
Recently, [28] derived a closed-form upper bound for the ergodic capacity of the jointly-correlated MIMO channel.
Similar(47)
Based on the above results, we can derive the lower bound for the achievable ergodic rate in the Rayleigh fading downlink channel.
By extending the fundamental thermodynamic relation to nonequilibrium processes, we find a rigorous thermodynamic bound for the efficiency of both ergodic and non-ergodic engines and show that it is given by the relative entropy of the nonequilibrium and initial equilibrium distributions.
We use the bounds for γn,lin (2) to obtain the lower bound of the ergodic sum-rate.
In this section, our approach is to derive a tight upper bound for the expectation in (13) which can serve as an approximation to the ergodic capacity.
Proposition 4: The lower bound of the ergodic capacity estimation of MU-MIMO with BD is given by R b Ergodic - 1 ow ≈ W ∑ k = 1 K a C iso ( β ^ k, β ^ k γ ^ k ), (31).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com