A novel single parity check-multiplicity assignment decoding algorithm based on voltage magnitude (VM_SPC-MA) is proposed, which is applied to the concatenated scheme of single parity check (SPC) inner code and Reed–Solomon (RS) outer code, following the Consultative Committee for Space Data Systems (CCSDS) standard. The algorithm determines whether the SPC code is in error by SPC, then obtains the reliability information of the inner code bits for error correction based on the characteristics of the received bit-level voltage, and decodes the outer code based on the reliability information of the inner codewords and the channel information. The decoding performance is greatly improved by connecting the inner and outer codes through the multiplicity assignment (MA) module, which makes full use of the channel information. Compared with the low-complexity Chase decoding based on the hard-decision decoding (HDD-LCC) and SPC_Kaneko-RS_Chase decoding, simulation results show that the SPC-RS concatenated decoding scheme based on VM_SPC-MA algorithm can provide up to 1.78 and 1.05 dB of coding gain when the bit error rate is (BER) = 10 ⁻⁵ . Besides, the hardware design of the SPC-MA module is provided and applied to the serial LCC decoder based on syndrome calculation-polynomial selection (PS)-Chien search and Forney algorithm (SPCF). The implementation results in ASIC show that the area efficiency of the complete concatenated decoder increases by 27.38% compared to the unified syndrome computation (USC)-based LCC decoder in a 0.13- $\mu \text{m}$ process.

中文翻译：

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使用 SPC 码对 Reed-Solomon 码进行高性能级联解码

提出了一种新的基于电压幅度的单奇偶校验-多重分配解码算法（VM_SPC-MA），该算法应用于单奇偶校验（SPC）内码和里德-所罗门（RS）外码的级联方案，遵循空间数据系统咨询委员会 (CCSDS) 标准。该算法通过SPC判断SPC码是否有误，然后根据接收到的位电平电压的特性得到内码位的可靠性信息进行纠错，并根据外码的可靠性信息解码外码。内码字和信道信息。通过多重分配（MA）模块连接内外码，充分利用信道信息，大大提高了译码性能。 ^－5 ．此外，还提供了SPC-MA模块的硬件设计，并应用于基于校正子计算-多项式选择(PS)-Chien搜索和Forney算法(SPCF)的串行LCC解码器。ASIC中的实现结果表明，与基于统一校正子计算（USC）的LCC解码器相比，完整级联解码器的面积效率提高了27.38%，0.13- $\mu \text{m}$ 过程。