Turbo Receiver Design for Differentially Encoded PSK in Bursty Impulsive Noise Channels

TL;DR

This paper develops and evaluates turbo receiver designs for differentially encoded PSK in impulsive noise channels, achieving significant performance gains and near-optimal bounds through innovative decoding strategies.

Contribution

It introduces an optimal turbo-DE-PSK receiver design incorporating differential decoding into MAP-based IN detection, with a suboptimal low-complexity alternative, validated by extensive simulations.

Findings

4.5 dB gain over conventional turbo-PSK-IN receiver

Near 1 dB gap to theoretical bounds

Effective performance with limited interleaver depth

Abstract

It has been recognized that the impulsive noise (IN) generated by power devices poses significant challenges to wireless receivers. In this paper, we comprehensively assess the achievable information rate (AIR) for the well-established Markov-Middleton IN model with a phase-shift keying (PSK) input sequence across various channel conditions, including matched and mismatched decoding scenarios. Upon determining information-theoretic bounds, we propose an optimal turbo-differentially encoded (DE)-PSK-IN receiver design based on a commonly used commercial transmission setup consisting of a convolutional encoder, bit-level interleaver, and a DE-PSK symbol mapper. We show that by incorporating the differential decoder into the maximum a-posteriori-based (MAP) IN detector, we can significantly enhance the receiver performance with a 4.5 dB gain compared to the conventional MAP-based turbo-PSK-IN receiver and a gap of around 1 dB to the theoretical bounds. We also propose a suboptimal separate receiver design that can be implemented with half the complexity of the joint design and near-optimal performance. We have evaluated the performance of the proposed receiver designs through extensive simulations, demonstrating their effectiveness in real-world scenarios with limited interleaver depth and mismatched state implementation.