Abstract
AbstractA new polar coding scheme for higher order modulation is presented. The proposed scheme is based on multi‐level coding (MLC) with natural binary labeling, where the highest bit‐level (called the sign‐bit) is generated depending on the previous bit‐levels such that the modulated symbols approach to a target distribution to reduce shaping loss. With polar codes, the scheme can be realized by replacing the polar encoder in the sign‐bit level by a successive cancellation (SC) decoder so that the overall complexity does not increase compared to a conventional MLC scheme. Numerical simulations show that compared to conventional transmission with uniform symbol distribution, significant performance improvements can be obtained using such a sign‐bit shaping scheme. By employing more complex decoders, such as the SC list (SCL) decoder which can operate across bit levels, the proposed scheme can outperform Gallager's random coding bound.
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