\begin{aligned} \mathbf{y}&= [h_1 h_2]\begin{bmatrix} \frac{h_1^*}{\left\|\mathbf{h}\right\|}x \\ \frac{h_2^*}{\left\|\mathbf{h}\right\|}x \end{bmatrix}+w \\ &=\frac{|h_1|^2}{\left\|\mathbf{h}\right\|}+\frac{|h_2|^2}{\left\|\mathbf{h}\right\|}+w \\ &=\left\|\mathbf{h}\right\|x+w \end{aligned}
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