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Joint source-channel coding schemes have been proven to be effective ways for reliable multimedia communications. In this paper, we develop a joint source-channel coding scheme that well combines the hidden Markov source (HMS) estimation and the powerful low-density parity-check (LDPC) codes with an iterative estimation/decoding scheme. With this coding method, the source redundancy could be accurately extracted by the hidden Markov estimation without using any priori information about the source. Moreover, the interleaver that is likely used to separate the source coding and channel coding is exempted by exploiting the randomizing property of the LDPC codes, while the channel decoding procedure may be implemented in parallel, resulting in good performance with a fairly low decoding complexity and delay. Simulation results have shown that the proposed scheme may achieve a much better performance than that of the standard coding scheme over the binary input additive white Gaussian noise (BIAWGN) channels.