Derivative of Mutual Information at Zero SNR: The Gaussian-Noise Case

作者：Wu Yihong^*; Guo Dongning; Verdu Sergio

来源：IEEE Transactions on Information Theory, 2011, 57(11): 7307-7312.

DOI：10.1109/TIT.2011.2161752

• Gaussian noise
• low-power regime
• minimum mean-square error (MMSE)
• mutual information
• signal-to-noise ratio (SNR)

Assuming additive Gaussian noise, a general sufficient condition on the input distribution is established to guarantee that the ratio of mutual information to signal-to-noise ratio (SNR) goes to one half nat as SNR vanishes. The result allows SNR-dependent input distribution and side information.

• 出版日期2011-11
• 单位西北大学