The work establishes an α-I-MMSE identity, generalized de Bruijn identity, and low/high-SNR characterizations for α-mutual information on Gaussian channels using α-tilted distributions.
Arimoto Channel Coding Converse and R ´enyi Divergence
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$\alpha$-Mutual Information for the Gaussian Noise Channel
The work establishes an α-I-MMSE identity, generalized de Bruijn identity, and low/high-SNR characterizations for α-mutual information on Gaussian channels using α-tilted distributions.