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For finite coupling lengths, terminated spatially coupled low-densityparity-check (SC-LDPC) codes show a non-negligible rate-loss. In this paper, weinvestigate if this rate loss can be mitigated by tail-biting SC-LDPC codes inconjunction with iterative demapping of higher order modulation formats.Therefore, we examine the BP threshold of different coupled and uncoupledensembles. A comparison between the decoding thresholds approximated by EXITcharts and the density evolution results of the coupled and uncoupled ensembleis given. We investigate the effect and potential of different labelings forsuch a set-up using per-bit EXIT curves, and exemplify the method for a 16-QAMsystem, e.g., using set partitioning labelings. A hybrid mapping is proposed,where different sub-blocks use different labelings in order to further optimizethe decoding thresholds of tail-biting codes, while the computationalcomplexity overhead through iterative demapping remains small.

Wave-like Decoding of Tail-biting Spatially Coupled LDPC Codes Through Iterative Demapping