Sentence examples for norm squared from inspiring English sources

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.

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].

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.

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.

The channel norm squared, a chi-square distributed random variable with varying degrees of freedom depending upon the SUS selection stage, shows a growth with (see, e.g., in [5]) using results from order statistics).

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

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

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

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.

During the sum-rate performance analysis, we develop the exact statistics of users' SINRs based on some new statistic results of projection norm squares, which can be broadly applied into the performance analysis of other related systems.