An alternative hypothesis (denoted Ha), which is the opposite of what is stated in the null hypothesis, is then defined.
(The slightest quiver in the null set of James's sex life launches whole books, but the sex life of a man both lustful and uxorious is regarded as unworthy of notice).
Also, as discussed in [22] for any precoding vector in the null space of, is also in the null space of.
It requires that any x≠0 lies in the null space of G must also be in the null space of H.
where holds the (Ntb - K + 1) singular vectors in the null space of.
Say there exists a vector Π≠0 in the null space of both the operators.
Because of the inequalities in the null and alternative hypotheses, a one-tailed test is appropriate.
We let be a unitary matrix in the null space of such that.
For the case where Ntb = K, only one vector lies in the null space of, but for Ntb > K, more than one vector lie in the null space of.
This process starts by calculating the projection vectors in the null space of the within-class scatter matrix Sw.
Specifically, we use a vector in the null space of the total inter-user interferences as the precoder.
