Multi-Level Dirty Paper Coding

We propose multi-level coding and successive decoding for dirty paper coding (DPC) in the high signal-to-noise ratio (SNR) regime. We divide the channel code into two levels, the upper code interacting with the shaping code and the lower code that does not such that it is information lossless. Our code design is more intuitive for designing DPC in the high SNR regime. The design of the lower code becomes trivial since it does not interact with the shaping code anymore. The design of the upper code is also simplified since we can now assume binary signaling for the code. We evaluate the capacity of each level and design codes to approach the estimated capacity. We demonstrate a good performance can indeed be achieved by simulations using low- density parity-check (LDPC) codes at each level. Our best code is only 0.45 dB from the no-interference Gaussian capacity at the spectral efficiency of 3 b/s/Hz.