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Polar codes and polar lattices for the Heegard-Berger problem
Abstract
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 doublysymmetric 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- Journal Article
- Science & Technology
- Technology
- Engineering, Electrical & Electronic
- Telecommunications
- Engineering
- Heegard-Berger problem
- polar codes
- rate-distortion theory
- source coding
- lattices
- RATE-DISTORTION FUNCTION
- SIDE-INFORMATION
- DECODER
- ABSENT
- 0906 Electrical and Electronic Engineering
- 1005 Communications Technologies