Power Adaptive Feedback Communication over an Additive Individual Noise Sequence Channel

TL;DR

This paper introduces a power-adaptive feedback communication scheme for additive channels with unknown noise sequences, achieving near-capacity performance by adjusting transmit power based on the noise sequence's power.

Contribution

It proposes a simple, sequential scheme extending Schalkwijk-Kailath, that adapts power to unknown noise, matching Gaussian channel capacity asymptotically.

Findings

Achieves capacity-approaching rates for almost every noise sequence.

Adapts transmit power based on noise sequence power.

Extends classical feedback schemes to unknown noise environments.

Abstract

We consider a real-valued additive channel with an individual unknown noise sequence. We present a simple sequential communication scheme based on the celebrated Schalkwijk-Kailath scheme, which varies the transmit power according to the power of the sequence, so that asymptotically the relation between the SNR and the rate matches the Gaussian channel capacity 1/2 log(1+SNR)for almost every noise sequence.