Cyclic-Coded Integer-Forcing Equalization

TL;DR

This paper introduces a novel equalization scheme combining integer-forcing equalization with cyclic block codes to effectively mitigate intersymbol interference in Gaussian channels, even with limited channel knowledge at the receiver.

Contribution

It proposes a new approach that integrates decision-feedback equalization with cyclic coding and integer-forcing to improve ISI mitigation in channels with unknown impulse responses.

Findings

Derived explicit performance bounds for the proposed scheme.

Demonstrated the effectiveness of the method in reducing intersymbol interference.

Showed that cyclic codes are closed under the convolution used in equalization.

Abstract

A discrete-time intersymbol interference channel with additive Gaussian noise is considered, where only the receiver has knowledge of the channel impulse response. An approach for combining decision-feedback equalization with channel coding is proposed, where decoding precedes the removal of intersymbol interference. This is accomplished by combining the recently proposed integer-forcing equalization approach with cyclic block codes. The channel impulse response is linearly equalized to an integer-valued response. This is then utilized by leveraging the property that a cyclic code is closed under (cyclic) integer-valued convolution. Explicit bounds on the performance of the proposed scheme are also derived.