A New Embedded Chien Search Block for Reed- Solomon (RS) Codes based on Factorization of Error Locator Polynomial

Azeddine Wahbi, Anas El Habti El Idrissi, Mohamed Elghayyaty, A. Hadjoudja, B. Bensassi, L. Hlou
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Abstract

Coding corrector of errors is one of the most vital and emerged system in telecommunication field.In this paper, we propose an efficient new embedded Chien Search block for RS decoder. However, it adopts a factorization of error locator polynomial. The proposed design is developed by using hardware description language (HDL), after that, simulated and verified Quartus development software.To test the performances of the new developed design, minimization rate (Number of minimized logic gates) and BER criteria were used.Simulation results show the effectiveness of the proposed design than the basic. First, because it minimizes the number of logic gates and hardware resources. Therefore, a reduction of the power consumption with a minimization’s rate that can attain approximately 40 % compared to the basic algorithm. Further, because it reaches a lower bit error rate.
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一种基于误差定位多项式分解的RS码嵌入式搜索块
编码纠错是通信领域中最重要和新兴的系统之一。在本文中,我们提出了一种高效的RS译码器嵌入式搜索块。然而,它采用了误差定位多项式的因式分解。采用硬件描述语言(HDL)对设计方案进行了开发,并对Quartus开发软件进行了仿真验证。为了测试新设计的性能,使用了最小化率(最小化逻辑门数)和误码率准则。仿真结果表明,所提设计比基本设计更有效。首先,因为它最小化了逻辑门和硬件资源的数量。因此,与基本算法相比,降低功耗的最小化率可以达到大约40%。此外,因为它达到了较低的误码率。
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