Low-Density Parity-Check Codes and Spatial Coupling for Quantitative Group Testing
(2023) 2023 International Symposium on Information Theory- Abstract
- A non-adaptive quantitative group testing (GT) scheme based on sparse codes-on-graphs in combination with low-complexity peeling decoding was introduced and analyzed by Karimi et al.. In this work, we propose a variant of this scheme based on low-density parity-check codes where the BCH codes at the constraint nodes are replaced by simple single parity-check codes. Furthermore, we apply spatial coupling to both GT schemes, perform a density evolution analysis, and compare their performance with and without coupling. Our analysis shows that both schemes improve with increasing coupling memory, and for all considered cases, it is observed that the LDPC code-based scheme substantially outperforms the original scheme. Simulation results for... (More)
- A non-adaptive quantitative group testing (GT) scheme based on sparse codes-on-graphs in combination with low-complexity peeling decoding was introduced and analyzed by Karimi et al.. In this work, we propose a variant of this scheme based on low-density parity-check codes where the BCH codes at the constraint nodes are replaced by simple single parity-check codes. Furthermore, we apply spatial coupling to both GT schemes, perform a density evolution analysis, and compare their performance with and without coupling. Our analysis shows that both schemes improve with increasing coupling memory, and for all considered cases, it is observed that the LDPC code-based scheme substantially outperforms the original scheme. Simulation results for finite block length confirm the asymptotic density evolution thresholds. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/113c3b65-75bc-470e-a203-bbae1523406c
- author
- Mashauri, Mgeni Makambi LU ; Graell i Amat, Alexandre and Lentmaier, Michael LU
- organization
- publishing date
- 2023
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- Group testing, Spatial Coupling, Low density parity checl codes, LDPC, GLDPC
- host publication
- IEEE International Symposium on Information Theory (ISIT
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- conference name
- 2023 International Symposium on Information Theory
- conference location
- Taipei, Taiwan
- conference dates
- 2023-06-25 - 2023-06-30
- external identifiers
-
- scopus:85171433729
- ISBN
- 978-1-6654-7554-9
- 978-1-6654-7555-6
- DOI
- 10.1109/ISIT54713.2023.10206963
- language
- English
- LU publication?
- yes
- id
- 113c3b65-75bc-470e-a203-bbae1523406c
- date added to LUP
- 2023-08-24 11:45:47
- date last changed
- 2024-05-13 20:44:57
@inproceedings{113c3b65-75bc-470e-a203-bbae1523406c, abstract = {{A non-adaptive quantitative group testing (GT) scheme based on sparse codes-on-graphs in combination with low-complexity peeling decoding was introduced and analyzed by Karimi et al.. In this work, we propose a variant of this scheme based on low-density parity-check codes where the BCH codes at the constraint nodes are replaced by simple single parity-check codes. Furthermore, we apply spatial coupling to both GT schemes, perform a density evolution analysis, and compare their performance with and without coupling. Our analysis shows that both schemes improve with increasing coupling memory, and for all considered cases, it is observed that the LDPC code-based scheme substantially outperforms the original scheme. Simulation results for finite block length confirm the asymptotic density evolution thresholds.}}, author = {{Mashauri, Mgeni Makambi and Graell i Amat, Alexandre and Lentmaier, Michael}}, booktitle = {{IEEE International Symposium on Information Theory (ISIT}}, isbn = {{978-1-6654-7554-9}}, keywords = {{Group testing, Spatial Coupling, Low density parity checl codes, LDPC, GLDPC}}, language = {{eng}}, publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}}, title = {{Low-Density Parity-Check Codes and Spatial Coupling for Quantitative Group Testing}}, url = {{https://lup.lub.lu.se/search/files/155709541/ISIT2023_Final.pdf}}, doi = {{10.1109/ISIT54713.2023.10206963}}, year = {{2023}}, }