On the Universality of Spatially Coupled LDPC Codes Over Intersymbol Interference Channels
Paper in proceeding, 2021

In this paper, we derive the exact input/output transfer functions of the optimal a-posteriori probability channel detector for a general ISI channel with erasures. Considering three channel impulse responses of different memory as an example, we compute the BP and MAP thresholds for regular spatially coupled LDPC codes with joint iterative detection and decoding. When we compare the results with the thresholds of ISI channels with Gaussian noise we observe an apparent inconsistency, i.e., a channel which performs better with erasures performs worse with AWGN. We show that this anomaly can be resolved by looking at the thresholds from an entropy perspective. We finally show that with spatial coupling we can achieve the symmetric information rates of different ISI channels using the same code.

Author

Mgeni Makambi Mashauri

Lund University

Alexandre Graell I Amat

Chalmers, Electrical Engineering, Communication, Antennas and Optical Networks

Michael Lentmaier

Lund University

2021 IEEE Information Theory Workshop, ITW 2021 - Proceedings


978-1-6654-0312-2 (ISBN)

2021 IEEE Information Theory Workshop (ITW)
Kanazawa, Japan,

Enhancing Iterative Receivers with Spatial Coupling

Swedish Research Council (VR) (2017-04370), 2018-01-01 -- 2021-12-31.

Areas of Advance

Information and Communication Technology

Subject Categories

Telecommunications

Communication Systems

Signal Processing

DOI

10.1109/ITW48936.2021.9611454

ISBN

9781665403122

More information

Latest update

4/21/2023