The joint base matrix ${{{{B}}_{{\mathrm{J}}}}}$ of the joint source-channel coding (JSCC) system based on double protograph low-density parity-check (DP-LDPC) codes consists of four components, namely, the source code ${{{{B}}_{{\mathrm{s}}}}}$ , the channel code ${{{{B}}_{{\mathrm{c}}}}}$ , the type-1 connection edge ${{{{B}}_{{ \textit {L1}}}}}$ and the type-2 connection edge ${{{{B}}_{{ \textit {L2}}}}}$ , each having a non-negligible influence on the system performance. Different from the traditional component-specific design approach, we propose a joint design and optimization algorithm based on the idea of multi-objective differential evolution (MODE). Specifically, we consider the optimization of the DP-LDPC JSCC system through joint design of three components ${{{{B}}_{{\mathrm{s}}}}}$ , ${{{{B}}_{{\mathrm{c}}}}}$ , ${{{{B}}_{{ \textit {L1}}}}}$ and all four components ${{{{B}}_{{\mathrm{s}}}}}$ , ${{{{B}}_{{\mathrm{c}}}}}$ , ${{{\mathbf{B}}_{{ \textit {L1}}}}}$ , ${{{{B}}_{{ \textit {L2}}}}}$ , respectively. The proposed algorithm has low search complexity due to the reduction in size and element value of base matrices. The joint protograph extrinsic information transfer (JPEXIT) analyses and the simulation results demonstrate that the resulting JSCC system is free from a high error floor, requires fewer number of iterations for reaching the same bit error rate (BER) and achieves significant coding gains as compared to the state-of-the-art. Our DP-LDPC JSCC system is also shown to outperform its separation-based counterpart by a wide margin.

中文翻译：

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基于DP-LDPC码的JSCC系统联合组件设计

联合基矩阵 ${{{{B}}_{{\mathrm{J}}}}}$ 基于双原图低密度奇偶校验（DP-LDPC）码的联合信源信道编码（JSCC）系统由四个部分组成，即源代码 ${{{{B}}_{{\mathrm{s}}}}}$ , 通道代码 ${{{{B}}_{{\mathrm{c}}}}}$ , type-1 连接边 ${{{{B}}}_{{ \textit {L1}}}}}$ 和 type-2 连接边 ${{{{B}}}_{{ \textit {L2}}}}}$ ，每个对系统性能都有不可忽略的影响。与传统的组件特定设计方法不同，我们提出了一种基于多目标差分进化（MODE）思想的联合设计和优化算法。具体来说，我们考虑通过三个组件的联合设计来优化 DP-LDPC JSCC 系统 ${{{{B}}_{{\mathrm{s}}}}}$ , ${{{{B}}_{{\mathrm{c}}}}}$ , ${{{{B}}}_{{ \textit {L1}}}}}$ 以及所有四个组件 ${{{{B}}_{{\mathrm{s}}}}}$ , ${{{{B}}_{{\mathrm{c}}}}}$ , ${{{\mathbf{B}}_{{ \textit {L1}}}}}$ , ${{{{B}}}_{{ \textit {L2}}}}}$ ， 分别。由于减少了基矩阵的大小和元素值，所提出的算法具有较低的搜索复杂度。联合原型外在信息传输 (JPEXIT) 分析和仿真结果表明，由此产生的 JSCC 系统没有高错误底线，需要更少的迭代次数来达到相同的误码率 (BER)，并且相比之下实现了显着的编码增益达到最先进的水平。我们的 DP-LDPC JSCC 系统也被证明在很大程度上优于其基于分离的对应系统。