Heegard-Berger问题的极码和极格
Polar Codes and Polar Lattices for the Heegard-Berger Problem
摘要：
提出了显式编码方案来使用极化码实现Heegard-Berger问题的率失真函数。具体来说，当可能不存在边信息时，采用嵌套极化码构造来实现双对称二进制源的率失真函数。该嵌套结构包含分别用于有损信源编码和信道编码的两个最优极化码。此外，当源和边信息是联合高斯时，采用类似的嵌套极格构造。针对加性高斯白噪声信道，通过嵌套一个量化极格和一个容量实现极格来构造所提出的极格。
英文摘要：
Explicit coding schemes are proposed to achieve the rate-distortion function of the Heegard-Berger problem using polar codes. Specifically, a nested polar code construction is employed to achieve the rate-distortion function for the doubly-symmetric binary sources when the side information may be absent. The nested structure contains two optimal polar codes for lossy source coding and channel coding, respectively. Moreover, a similar nested polar lattice construction is employed when the source and the side information are jointly Gaussian. The proposed polar lattice is constructed by nesting a quantization polar lattice and a capacity-achieving polar lattice for the additive white Gaussian noise channel.
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