Re: A question on notation


"USENET" <ecerams@xxxxxxxxxxxxxx> wrote in message news:1134071166.937610.279360@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
> Hi all,
>
> Consider a random vector X = (x_1,x_2,..x_N), a row vector, where x_is
> are i.i.d complex Gaussian random variables with zero-mean and unit
> variance.
> Let us define
> A = diag(a_1,a_2,...,a_N), a positive definite matrix.
> Consider
> Z = X* Hermitian(X) / sqrt( X*A*Hermitian(X) ).
>
> Is there a name for Z??
> I know that for A = Identity matrix, Z = ||X||, the 2-norm of vector X.
> I don't know how should I refer to Z when A is not equal to the
> identity matrix.

FWIW, you have my personal blessing to call it the
"Ramesh A-norm of X",
but it don't think IIWM ;-)

Dirk Vdm


.

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