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davg and dstd is only used to normalize the environmental matrix $\mathcal{R}^i$. $\mathcal{G}^i$ is derived from $\mathcal{R}^i$, so we expect it does not need to be normalized. $\mathcal{D}^i$ is given by

$$\mathcal{D}^i = \frac{1}{N_c^2} (\mathcal{G}^i)^T \mathcal{R}^i (\mathcal{R}^i)^T \mathcal{G}^i_<$$

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@lhycms
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