On the Universality of Spatially Coupled LDPC Codes over Intersymbol Interference Channels
(2021) 2021 IEEE Information Theory Workshop, ITW 2021- Abstract
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... (More)
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.
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- author
- Mashauri, Mgeni Makambi LU ; Amat, Alexandre Graell I. and Lentmaier, Michael LU
- organization
- publishing date
- 2021
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- 2021 IEEE Information Theory Workshop, ITW 2021 - Proceedings
- article number
- 21466420
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- conference name
- 2021 IEEE Information Theory Workshop, ITW 2021
- conference location
- Virtual, Online, Japan
- conference dates
- 2021-10-17 - 2021-10-21
- external identifiers
-
- scopus:85123423381
- ISBN
- 9781665403122
- DOI
- 10.1109/ITW48936.2021.9611454
- language
- English
- LU publication?
- yes
- id
- a8efe649-595d-4ef4-8bc0-ece53c14176d
- date added to LUP
- 2022-04-12 17:00:48
- date last changed
- 2022-06-10 09:25:03
@inproceedings{a8efe649-595d-4ef4-8bc0-ece53c14176d,
abstract = {{<p>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.</p>}},
author = {{Mashauri, Mgeni Makambi and Amat, Alexandre Graell I. and Lentmaier, Michael}},
booktitle = {{2021 IEEE Information Theory Workshop, ITW 2021 - Proceedings}},
isbn = {{9781665403122}},
language = {{eng}},
publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
title = {{On the Universality of Spatially Coupled LDPC Codes over Intersymbol Interference Channels}},
url = {{https://lup.lub.lu.se/search/files/119669606/ITW2021_final.pdf}},
doi = {{10.1109/ITW48936.2021.9611454}},
year = {{2021}},
}