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It is shown that binary low-density generator matrix codes can achieve the rate-distortion bound of discrete memoryless sources with general distortion measure via multilevel quantization. A practical encoding scheme based on the survey-propagation algorithm is proposed. The effectiveness of the proposed scheme is verified through simulation.
We show that linear codes can achieve the rate- distortion bound of a discrete memoryless source with arbitrary distortion measure if the size of finite field is sufficiently large. An alternative approach based on multilevel quantization is proposed. The optimality of this approach and the sufficiency of binary linear codes are established. Linear codes are also shown to be able to achieve a simplified...
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