Twisted-Pair Superposition Transmission

TL;DR

This paper introduces twisted-pair superposition transmission (TPST), a new coding scheme that combines basic codes through superposition, enabling flexible, near-capacity performance in short-length regimes with predictable performance and efficient decoding.

Contribution

The paper presents a novel TPST coding scheme with flexible construction and near-capacity performance, along with design approaches for finite-length codes using tail-biting convolutional codes.

Findings

TPST codes achieve near-capacity performance in short-length regimes.

The proposed decoding algorithm is successive cancellation list decoding.

Design approaches improve finite-length code performance.

Abstract

We propose in this paper a new coding scheme called twisted-pair superposition transmission (TPST). The encoding is to "mix together" a pair of basic codes by superposition, while the decoding can be implemented as a successive cancellation list decoding algorithm. The most significant features of the TPST code are its predictable performance that can be estimated numerically from the basic codes and its flexible construction in the sense that it can be easily adapted to different coding rates. To construct good TPST codes in the finite length regime, we propose two design approaches-rate allocation and partial superposition. By taking tail-biting convolutional codes (TBCC) as basic codes, we show by numerical results that the TPST codes can have near-capacity performance in the short length regime.