Polar Coding for Parallel Gaussian Channel

TL;DR

This paper introduces a Polar coding scheme tailored for parallel Gaussian channels, enabling efficient sum rate achievement without channel-specific rate knowledge, leveraging the nesting property of Polar codes.

Contribution

It presents a novel Polar coding/decoding scheme for parallel Gaussian channels that achieves sum rates without requiring channel rate knowledge at the encoder.

Findings

Achieves sum rates in parallel Gaussian channels

Uses nesting property of Polar codes for design

No need for channel-specific rate information at encoder

Abstract

In this paper, we propose a Polar coding scheme for parallel Gaussian channels. The encoder knows the sum rate of the parallel channels but does not know the rate of any channel. By using the nesting property of Polar code, we design a coding/decoding scheme to achieve the sum rates.