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This paper describes a curve-fitting approach for the design of capacity approaching coded modulation for orthogonal signal sets with non-coherent detection. In particular, bit-interleaved coded modulation with iterative decoding is considered. Decoder metrics are developed that do not require the knowledge of the signal-to-noise ratio, yet still offer very good performance. The authors are with thedoi:10.1109/twc.2007.06040154 fatcat:4q7w33byjjd6np3vmy4xw6swmi