Sentence examples for norm square from inspiring English sources

Specifically, the CZF option relies on a simple multiuser scheduling method, i.e. to select the user with the largest channel vector norm square.

We now consider the project norm square of vector h onto B normalized vectors, w j, j = 1,..., B, i.e. b j = |h T w j |2, j = 1, 2,..., B, and focus again on the l th largest one among totally B projection norm square, i.e. bl:B.

It follows that the probability density function (PDF) of the l th largest among totally K projection norm square al:K= rank l {a i }, i = 1, 2,..., K is given, after applying the basic ordered statistic result, by: f a l : K ( x ) = K ! ( K - l ) ! ( l - 1 ) ! ( 1 - e - x ) K - l e - l x, x ≥ 0. (6).

For (mathcal {X}) a Hilbert space, let (L^{2}_{mathcal {X}} equiv L^{2}_{mathcal {X}}(mathbb {T})) be the Hilbert space of (mathcal {X} -valued norm square-integrable measurable functions on (mathbb{X} -valuedt (L^{inorm}_{mathcal {X}} equiv L^{infty}_{mathcal {X}}(mathbb {T})) be the set of (mathcal {X})-valued bounded measurable functions on (measurable.

The square of is scalar-valued and equals the norm squared up to a minus sign:.

The effective channel strength can be written as the product of the channel norm squared and the inner product.

In steps 7, 8 and 9, the proximal operators of the element-wise l1 norm, squared l2 norm, and column-wise group sparse regularizer are applied in sequence.

Since w j are not necessarily orthogonal with one another, the projection norm squares no longer constitute a set of independent random variables.

Most of the channel norm (squared) distributions given in this subsection are known relations, others have been computed using the tools from order statistics [35].

We first present some statistical results on the ordered projection norm squares, which will be broadly applied in the later analysis.

In explaining this, Everett appealed to a measure of typicality given by the norm squared of the amplitude associated with each relative state in an orthogonal decomposition of the absolute state.