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With the era of the 6G communication, the explorations and breakthrough in information and communication technique are strongly necessary. Joint Source-Channel Coding (JSCC) is a novel technique bringing some unexpected results, especially that the optimization of decoding algorithm can effectively improve the complexity and consumption of the receiver for the future 6G. In this paper, a novel decoding algorithm that a joint grouping scheduling strategy being combined into a sliding window decoding algorithm for a JSCC scheme based on Double-Spatially Coupled Low-Density Parity-Check (DSC-LDPC) codes is proposed. In order to analyze the ultimate decoding performance, a novel joint EXtrinsic Information Transfer (EXIT) algorithm considering different grouping scheduling strategy and different decoding window size is proposed. The decoding complexity, relating to the number of the decoding windows, the average iteration, the average degree, and the code-length, is analyzed. Simulations of performance including water-fall region and error-floor region are in line with the decoding threshold analysis by the EXIT algorithm. Both of them show the superiority of the proposed decoding algorithm when the decoding parameters are set appropriately.
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