On the Universality of Spatially Coupled LDPC Codes Over Intersymbol Interference Channels

Autor: Mashauri, Mgeni Makambi, Amat, Alexandre Graell i, Lentmaier, Michael
Rok vydání: 2024
Předmět:
Zdroj: 2021 IEEE Information Theory Workshop (ITW), Kanazawa, Japan, 2021, pp.1-6
Druh dokumentu: Working Paper
DOI: 10.1109/ITW48936.2021.9611454
Popis: 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.
Databáze: arXiv