English

Returning to Shannon's Original Meaning

Information Theory 2024-10-03 v3 math.IT

Abstract

Shannon theory is revisited to show that ergodicity is an indispensable element of channel capacity. The generalized channel capacity C=supXI(X;Y)C=\sup_{\bm{X}}\underline{I}(\bm{X}; \bm{Y}) is checked with a negative conclusion and the popular assertion "the capacity of a slow fading channel is zero in strict Shannon sense" is found to be conceptually wrong.

Cite

@article{arxiv.1909.04978,
  title  = {Returning to Shannon's Original Meaning},
  author = {Xuezhi Yang},
  journal= {arXiv preprint arXiv:1909.04978},
  year   = {2024}
}
R2 v1 2026-06-23T11:12:09.124Z