2021
Olmos, Pablo M; Liu, Yanfang; Mitchell, David G M
Low-Density Parity-Check (LDPC) Codes for 5G Communications Capítulo de libro
En: Wiley 5G Ref, pp. 1-23, American Cancer Society, 2021, ISBN: 9781119471509.
Resumen | Enlaces | BibTeX | Etiquetas: 5G, Channel Coding, FPGA, hardware implementation, LDPC codes, pipeline architecture, protographs, quasi-cyclic LDPC codes
@inbook{doi,
title = {Low-Density Parity-Check (LDPC) Codes for 5G Communications},
author = {Pablo M Olmos and Yanfang Liu and David G M Mitchell},
url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/9781119471509.w5GRef013},
doi = {https://doi.org/10.1002/9781119471509.w5GRef013},
isbn = {9781119471509},
year = {2021},
date = {2021-01-01},
urldate = {2021-01-01},
booktitle = {Wiley 5G Ref},
pages = {1-23},
publisher = {American Cancer Society},
abstract = {Abstract In this article, we describe the fundamental advances in low-density parity-check (LDPC) codes over the last two decades with special emphasis on the class of LDPC codes selected for the 5G new radio standard. We present structured protograph and quasi-cyclic LDPC codes, which are convenient for hardware implementation. The 5G LDPC codes are then reviewed in detail. Hardware considerations regarding the implementation of the encoders and decoders of 5G LDPC codes are also discussed. We conclude the article by presenting three of the more promising extensions of LDPC codes known to date (generalized LDPC codes, nonbinary LDPC codes, and spatially coupled LDPC codes), which could potentially replace conventional LDPC codes in future communication standards.},
keywords = {5G, Channel Coding, FPGA, hardware implementation, LDPC codes, pipeline architecture, protographs, quasi-cyclic LDPC codes},
pubstate = {published},
tppubtype = {inbook}
}
Abstract In this article, we describe the fundamental advances in low-density parity-check (LDPC) codes over the last two decades with special emphasis on the class of LDPC codes selected for the 5G new radio standard. We present structured protograph and quasi-cyclic LDPC codes, which are convenient for hardware implementation. The 5G LDPC codes are then reviewed in detail. Hardware considerations regarding the implementation of the encoders and decoders of 5G LDPC codes are also discussed. We conclude the article by presenting three of the more promising extensions of LDPC codes known to date (generalized LDPC codes, nonbinary LDPC codes, and spatially coupled LDPC codes), which could potentially replace conventional LDPC codes in future communication standards.
2015
Olmos, Pablo M; Mitchell, David G M; Costello, Daniel J
Analyzing the Finite-Length Performance of Generalized LDPC Codes Proceedings Article
En: 2015 IEEE International Symposium on Information Theory (ISIT), pp. 2683–2687, IEEE, Hong Kong, 2015, ISBN: 978-1-4673-7704-1.
Resumen | Enlaces | BibTeX | Etiquetas: BEC, binary codes, binary erasure channel, Block codes, Codes on graphs, Decoding, Differential equations, error probability, finite-length generalized LDPC block codes, finite-length performance analysis, generalized LDPC codes, generalized peeling decoder, GLDPC block codes, graph degree distribution, graph theory, Iterative decoding, parity check codes, protographs
@inproceedings{Olmos2015b,
title = {Analyzing the Finite-Length Performance of Generalized LDPC Codes},
author = {Pablo M Olmos and David G M Mitchell and Daniel J Costello},
url = {http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=7282943},
doi = {10.1109/ISIT.2015.7282943},
isbn = {978-1-4673-7704-1},
year = {2015},
date = {2015-06-01},
booktitle = {2015 IEEE International Symposium on Information Theory (ISIT)},
pages = {2683--2687},
publisher = {IEEE},
address = {Hong Kong},
abstract = {In this paper, we analyze the performance of finite-length generalized LDPC (GLDPC) block codes constructed from protographs when transmission takes place over the binary erasure channel (BEC). A generalized peeling decoder is proposed and we derive a system of differential equations that gives the expected evolution of the graph degree distribution during decoding. We then show that the finite-length performance of a GLDPC code can be estimated by means of a simple scaling law, where a single scaling parameter represents the finite-length properties of the code. We also show that, as we consider stronger component codes, both the asymptotic threshold and the finite-length scaling parameter are improved.},
keywords = {BEC, binary codes, binary erasure channel, Block codes, Codes on graphs, Decoding, Differential equations, error probability, finite-length generalized LDPC block codes, finite-length performance analysis, generalized LDPC codes, generalized peeling decoder, GLDPC block codes, graph degree distribution, graph theory, Iterative decoding, parity check codes, protographs},
pubstate = {published},
tppubtype = {inproceedings}
}
In this paper, we analyze the performance of finite-length generalized LDPC (GLDPC) block codes constructed from protographs when transmission takes place over the binary erasure channel (BEC). A generalized peeling decoder is proposed and we derive a system of differential equations that gives the expected evolution of the graph degree distribution during decoding. We then show that the finite-length performance of a GLDPC code can be estimated by means of a simple scaling law, where a single scaling parameter represents the finite-length properties of the code. We also show that, as we consider stronger component codes, both the asymptotic threshold and the finite-length scaling parameter are improved.