Can I read Beyond the I-MMSE relation: derivatives of mutual information in Gaussian channels on EtoBox?

Beyond the I-MMSE relation: derivatives of mutual information in Gaussian channels by Nguyen, Minh-Toan is a scholarly article available to read on EtoBox.

What is Beyond the I-MMSE relation: derivatives of mutual information in Gaussian channels about?

The I-MMSE formula connects two important quantities in information theory and estimation theory: the mutual information and the minimum mean-squared error (MMSE). It states that in a scalar Gaussian channel, the derivative of the mutual information with respect to the signal-to-noise ratio (SNR) is one-half of the MMSE. Although any derivative at a fixed order can be computed in principle, a general formula for all the derivatives is still unknown. In this paper, we derive this general formula for vector Gaussian channels. The obtained result is remarkably similar to the classic cumulant-moment relation in statistical theory.

Author

Nguyen, Minh-Toan

Published

2023

Language

EN