Correction to "A Note on Gallager's Capacity Theorem for Waveform Channels"

TL;DR

This paper addresses and corrects a claimed contradiction in Gallager's capacity theorem for waveform channels, clarifying the theorem's validity.

Contribution

It provides a correction to previous claims of contradiction in Gallager's capacity theorem for waveform channels.

Findings

Resolved the contradiction in Gallager's theorem

Clarified the conditions under which the theorem holds

Strengthened the theoretical understanding of waveform channel capacity

Abstract

We correct an alleged contradiction to Gallager's capacity theorem for waveform channels as presented in a poster at the 2012 IEEE International Symposium on Information Theory.