Soft-Decision Low-Complexity Chase Decoders for the RS(255,239) Code
In this work, we present a new architecture for soft-decision Reed–Solomon (RS) Low-Complexity Chase (LCC) decoding. The proposed architecture is scalable and can be used for a high number of test vectors. We propose a novel Multiplicity Assignment stage that sorts and stores only the loca...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2018-12-01
|
| Series: | Electronics |
| Subjects: | |
| Online Access: | http://www.mdpi.com/2079-9292/8/1/10 |
| _version_ | 1798041405645389824 |
|---|---|
| author | Vicente Torres Javier Valls Maria Jose Canet Francisco García-Herrero |
| author_facet | Vicente Torres Javier Valls Maria Jose Canet Francisco García-Herrero |
| author_sort | Vicente Torres |
| collection | DOAJ |
| description | In this work, we present a new architecture for soft-decision Reed–Solomon (RS) Low-Complexity Chase (LCC) decoding. The proposed architecture is scalable and can be used for a high number of test vectors. We propose a novel Multiplicity Assignment stage that sorts and stores only the location of the errors inside the symbols and the powers of α that identify the positions of the symbols in the frame. Novel schematics for the Syndrome Update and Symbol Modification blocks that are adapted to the proposed sorting stage are also presented. We also propose novel solutions for the problems that arise when a high number of test vectors is processed. We implemented three decoders: a η = 4 LCC decoder and two decoders that only decode 31 and 60 test vectors of true η = 5 and η = 6 LCC decoders, respectively. For example, our η = 4 decoder requires 29% less look-up tables in Virtex-V Field Programmable Gate Array (FPGA) devices than the best soft-decision RS decoder published to date, while has a 0.07 dB coding gain over that decoder. |
| first_indexed | 2024-04-11T22:21:05Z |
| format | Article |
| id | doaj.art-8a214e45a6fb4d5291979a7d057a6efd |
| institution | Directory Open Access Journal |
| issn | 2079-9292 |
| language | English |
| last_indexed | 2024-04-11T22:21:05Z |
| publishDate | 2018-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electronics |
| spelling | doaj.art-8a214e45a6fb4d5291979a7d057a6efd2022-12-22T04:00:08ZengMDPI AGElectronics2079-92922018-12-01811010.3390/electronics8010010electronics8010010Soft-Decision Low-Complexity Chase Decoders for the RS(255,239) CodeVicente Torres0Javier Valls1Maria Jose Canet2Francisco García-Herrero3Instituto de Telecomunicaciones y Aplicaciones Multimedia, Universitat Politècnica de València, 46022 Valencia, SpainInstituto de Telecomunicaciones y Aplicaciones Multimedia, Universitat Politècnica de València, 46022 Valencia, SpainInstituto de Telecomunicaciones y Aplicaciones Multimedia, Universitat Politècnica de València, 46022 Valencia, SpainARIES Research Center, Universidad Antonio de Nebrija, 28040 Madrid, SpainIn this work, we present a new architecture for soft-decision Reed–Solomon (RS) Low-Complexity Chase (LCC) decoding. The proposed architecture is scalable and can be used for a high number of test vectors. We propose a novel Multiplicity Assignment stage that sorts and stores only the location of the errors inside the symbols and the powers of α that identify the positions of the symbols in the frame. Novel schematics for the Syndrome Update and Symbol Modification blocks that are adapted to the proposed sorting stage are also presented. We also propose novel solutions for the problems that arise when a high number of test vectors is processed. We implemented three decoders: a η = 4 LCC decoder and two decoders that only decode 31 and 60 test vectors of true η = 5 and η = 6 LCC decoders, respectively. For example, our η = 4 decoder requires 29% less look-up tables in Virtex-V Field Programmable Gate Array (FPGA) devices than the best soft-decision RS decoder published to date, while has a 0.07 dB coding gain over that decoder.http://www.mdpi.com/2079-9292/8/1/10FECLow-Complexity ChaseReed–SolomonSoft-Decision Decoding |
| spellingShingle | Vicente Torres Javier Valls Maria Jose Canet Francisco García-Herrero Soft-Decision Low-Complexity Chase Decoders for the RS(255,239) Code Electronics FEC Low-Complexity Chase Reed–Solomon Soft-Decision Decoding |
| title | Soft-Decision Low-Complexity Chase Decoders for the RS(255,239) Code |
| title_full | Soft-Decision Low-Complexity Chase Decoders for the RS(255,239) Code |
| title_fullStr | Soft-Decision Low-Complexity Chase Decoders for the RS(255,239) Code |
| title_full_unstemmed | Soft-Decision Low-Complexity Chase Decoders for the RS(255,239) Code |
| title_short | Soft-Decision Low-Complexity Chase Decoders for the RS(255,239) Code |
| title_sort | soft decision low complexity chase decoders for the rs 255 239 code |
| topic | FEC Low-Complexity Chase Reed–Solomon Soft-Decision Decoding |
| url | http://www.mdpi.com/2079-9292/8/1/10 |
| work_keys_str_mv | AT vicentetorres softdecisionlowcomplexitychasedecodersforthers255239code AT javiervalls softdecisionlowcomplexitychasedecodersforthers255239code AT mariajosecanet softdecisionlowcomplexitychasedecodersforthers255239code AT franciscogarciaherrero softdecisionlowcomplexitychasedecodersforthers255239code |