Sentence examples for achievability in from inspiring English sources

In this section, we will describe the vector bin-and-cancel scheme used to show the achievability in Lemma 2. In vector bin-and-cancel, we use Han-Kobayashi [16] style common-private message splitting with a simple power splitting.

In 2011 the WHO increased the provisional drinking-water guideline for uranium from 15 μg/L to 30 μg/L [ 1, 96, 97]; the WHO notes "The guideline value is designated as provisional because of scientific uncertainties surrounding uranium toxicity…as well as difficulties concerning its technical achievability in smaller supplies" [ 1].

The detailed arguments are provided in the alternative achievability proof in Section 4.

Inspired by the achievability proof in Section 3.1, the SoftNull algorithm presented in [27] seeks to maximally suppress self-interference for a given required number of downlink-degrees-of-freedom.

The proof of Theorem 2 is the same as proving the achievability part in Theorem 1.

A brief sketch of the proof of achievability is in order.

The achievability schemes in [22, 24, 25] rely on some results from the field of Diophantine approximation in number theory, especially the lower bounds on the approximability of irrational algebraic numbers by rationals [26 32].

We can then exploit the same proof as that in [11]; hence, the achievability still holds in this partially non-independent channels model.

For a given block size n, we denote the normalized duration of the mth phase by t m,n, and in achievability schemes, we must have (underset {nrightarrow infty }{lim }t_{m,n}=t_{m}) [6].

This fact is readily obtained from the alternative achievability proof given in Section 4. We note that [25, 26] consider the problem key generation from common randomness over wiretap channels and exploit a Wyner-Ziv coding scheme to limit the amount of information conveyed from the source to the destination via the wiretap channel.

We will use an argument similar to the one in the achievability proof of rate distortion function in [27, Section 10.5] to bound.