Spectral Comb Shaping for Single Carrier Communication Signals by Polar Codes

TL;DR

This paper introduces a novel method for designing polar codes to produce spectral comb-shaped signals with nulls and notches, improving interference separation and SNR performance.

Contribution

It proposes a new index selection method and a polar code construction under the comb-shaping constraint, enhancing spectral shaping capabilities.

Findings

Significant SNR gain over conventional polar codes.

Effective spectral comb shaping with nulls and notch bands.

Improved interference separation in simulations.

Abstract

An approach to selecting information indices for polar codes is proposed to form signals with spectral comb shapes under BPSK modulation, whereby the signal could be separated from periodic interference in spectrum. By confining information indices to an index set termed comb-shaping index set (CIS) proposed in this paper, a spectral comb shape signal is formed, which has periodic nulls and notch bands in its spectrum. Furthermore, we propose a novel construction for polar coding under the CIS constraint. Numerical results are given under periodic interference and AWGN noise, indicating that a considerable signal-to-noise power ratio (SNR) gain is accomplished in comparison with conventional polar codes.