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In particular, for achievability, we use stochastic encoding [2] in conjunction with superposition coding [24]; and for the converse proofs, we use outer bounding techniques in [1, 2], more specifically, the Csiszar-Korner identity, [2, Lemma 7].
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In this section, we provide an alternative proof of achievability for key capacity, which does not require the transmission of continuous symbols over the public channel.
Thus, a necessary and sufficient condition for global achievability is obtained by maximizing min k SINR k /γ k over all possible beamformers and transmission powers.
In the following, we provide an outline of the achievability for the achievable rate of the system, based on the results in [15] for the broadcast channel with side information [16].
Next, we provide a general outer bound on the capacity region and derive conditions under which the first achievability scheme achieves capacity for the degraded MA-CIFC.
In this paper, we show that the polarization phenomenon occurs in the parallel channel model and provide proof of achievability of polar codes for general binary discrete memoryless channels (B-DMC), under a non-identically distributed assumption, where deterministic CPs are given.
Furthermore, the designed sensor exhibits admirable stability and reproducibility, as well as attractive achievability for real sample analysis.
Achievability For the proposed joint coding scheme, in weak interference subchannels, users transmit new bits regardless of interference and, in strong interference subchannels, only interfered bits are transmitted.
Proof of achievability From the set of BECs {W (i)} for ∀i∈ [ 1,N], the size of each information set |A_{L}(i)|= lfloor L 1-epsilon _{m_{i}})rfL 1-epsilonm {dot {i}}), the unit of which is in bits per L channel uses.
But our ambitions with regard to making it a partner in the SDG process should be proportionate to a sensible analysis of achievability.
This completes the proof of achievability.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com