Blind Recognition of RS Codes Based on Channel Condition Determination

Yihan Wang, Wei Zhang, Lina Shi, Yanyan Chang, Yanyan Liu · IEEE Communications Letters · 2024

In this letter, a blind recognition method of Reed-Solomon (RS) codes is proposed based on channel condition determination. Existing methods based on Galois field Fourier transform (GFFT) primarily utilize the majority vote to reconstruct the generator polynomial. However, this approach proves ineffective in harsh channels, as subsequently analyzed. To address this issue, the longest consecutive zero trust is proposed under harsh channel conditions. Furthermore, channel condition determination is proposed, classifying channels as fine, ordinary, and harsh by calculating partial spectrums. Subsequently, the appropriate recognition algorithm is applied according to the specific condition. Simulation results indicate the superior performance of the proposed method compared to existing approaches. Under harsh channel conditions, the proposed method achieves gains of 1.5dB for RS(15,11,2,19) and 0.5dB for RS(31,15,8,37) when compared to the best-performing low-complexity GFFT (LC-GFFT). Additionally, the computational complexity is significantly reduced by approximately 71.43% under fine channel conditions and 42.86% for harsh channels compared to the GFFT-based method.

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