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\end{equation}  \paragraph{Example 3.}  Given $x = [x1, \ldots, x_n]^T  \in \complex^n$ with $x_i = a_i + jb_i \in \complex$, $a_i,b_i \in \reals$, What is $D\|x\|_{\ell_2}^2$? \\ We have  \begin{eqnarray}   \|x\|_{\ell_2}^2 &=& \sum_{i=1}^n |x_i|^2 = \sum_{i=1}^n x_i^*x_i \nonumber\\