{"title":"Blind Recognition Algorithm of Reed-Solomon Codes Based on Multiple Threshold Judgment and Matrix Recording","authors":"Zhuolun Wu;Wei Zhang;Yihan Wang;Yanyan Liu","doi":"10.1109/LCOMM.2024.3483281","DOIUrl":null,"url":null,"abstract":"Reed-Solomon (RS) codes are widely utilized in systems such as digital transmission and storage systems because of their error-correcting capability. Nevertheless, the substantial number of iterative operations inherent to existing RS code recognition algorithms results in a considerable increase in computational complexity. In this letter, a blind recognition algorithm of RS codes based on multiple threshold judgment and the matrix recording is proposed. The multiple threshold judgment method terminates the iterative process when the threshold condition is satisfied, effectively reducing the recognition process’s computational complexity. Meanwhile, the matrix recording method significantly improves the recognition probability. Simulation results show that the false recognition probability of the proposed recognition algorithm is approaching the false recognition bottom bound and achieves a gain of 0.5dB for RS(31,15,8,37) compared to the low-complexity GFFT (LC-GFFT). Under favourable channel conditions, the computational complexity of the proposed recognition algorithm is reduced by 82.74% and 16.79% compared with the existing RS (31,15,8,37) and RS (255,239,8,285) blind recognition algorithms, respectively.","PeriodicalId":13197,"journal":{"name":"IEEE Communications Letters","volume":"28 12","pages":"2709-2713"},"PeriodicalIF":3.7000,"publicationDate":"2024-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Communications Letters","FirstCategoryId":"94","ListUrlMain":"https://ieeexplore.ieee.org/document/10721469/","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"TELECOMMUNICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
Reed-Solomon (RS) codes are widely utilized in systems such as digital transmission and storage systems because of their error-correcting capability. Nevertheless, the substantial number of iterative operations inherent to existing RS code recognition algorithms results in a considerable increase in computational complexity. In this letter, a blind recognition algorithm of RS codes based on multiple threshold judgment and the matrix recording is proposed. The multiple threshold judgment method terminates the iterative process when the threshold condition is satisfied, effectively reducing the recognition process’s computational complexity. Meanwhile, the matrix recording method significantly improves the recognition probability. Simulation results show that the false recognition probability of the proposed recognition algorithm is approaching the false recognition bottom bound and achieves a gain of 0.5dB for RS(31,15,8,37) compared to the low-complexity GFFT (LC-GFFT). Under favourable channel conditions, the computational complexity of the proposed recognition algorithm is reduced by 82.74% and 16.79% compared with the existing RS (31,15,8,37) and RS (255,239,8,285) blind recognition algorithms, respectively.
期刊介绍:
The IEEE Communications Letters publishes short papers in a rapid publication cycle on advances in the state-of-the-art of communication over different media and channels including wire, underground, waveguide, optical fiber, and storage channels. Both theoretical contributions (including new techniques, concepts, and analyses) and practical contributions (including system experiments and prototypes, and new applications) are encouraged. This journal focuses on the physical layer and the link layer of communication systems.