结合6-QAM和双层LDPC码的编码调制研究

Investigation on Coded Modulation Combining 6-QAM and Two-Level LDPC Codes

  • 摘要: 针对阶数为3×2p的非标准调制与纠错编码难以匹配的问题,提出了一种面向6阶正交幅度调制(QAM)的双层编码调制传输方案。在发送端,采用有限域GF(2)低密度奇偶校验(LDPC)码与GF(3) LDPC码进行分层编码,并将两种编码码字映射为6进制码字后进行6-QAM调制;在接收端,根据GF(2) LDPC码和GF(3) LDPC码的译码顺序,设计了两种双层迭代译码方法。仿真结果表明,在加性高斯白噪声(AWGN)信道下,执行一次整体迭代译码时,先执行GF(3) LDPC码译码的6-QAM分层编码调制方案比先执行GF(2) LDPC码译码的方案获得了更优的误符号率(SER)性能;随着迭代次数增加,纠错性能可获得进一步改善。比较6-QAM与6阶相移键控(6-PSK)调制,若先执行GF(3) LDPC码译码,当SER为10-5时,6-QAM结合双层LDPC码的传输方案在AWGN信道下可获得约1.3dB的增益。

     

    Abstract: Considering the problem of matching the non-standard modulation with the order of 3×2p and error correction code, a two-level coded modulation transmission scheme for 6-order quadrature amplitude modulation (QAM) is proposed. At the transmitter, the Galois field GF(2) low-density parity-check (LDPC) code and GF(3) LDPC code were used for layered encoding, and the two kinds of LDPC codewords were mapped to senary codewords for 6-QAM modulation. At the receiver, two-level iterative decoding methods were designed according to the decoding order of GF(3) LDPC code and GF(2) LDPC code. Simulation results show that, under the additive white Gaussian noise (AWGN) channel, performing an overall iterative decoding, the coded modulation scheme for 6-QAM which performs GF(3) LDPC decoding first achieves better decoding performance than the scheme which performs GF(2) LDPC decoding first. As the number of iterations increases, the error correction performance can be further improved. Comparing 6-QAM with 6-order phase shift keying (6-PSK), if performing GF(3) LDPC decoding first, the transmission scheme combining 6-QAM and two-level LDPC codes can obtain about 1.3 dB gain under the AWGN channel at SER of 10-5 .

     

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