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The bit-channels of finite-length polar codes are not fully polarized, and a proportion of such bit-channels are neither completely "noiseless" nor completely "noisy". By using an outer low-density parity-check code for these intermediate channels, we show how the performance of belief propagation (BP) decoding of the overall concatenated polar code can be improved. A simple example reports an improvement in E b N 0 of 0.3 dB with respect to the conventional BP decoder.doi:10.1109/isit.2014.6875382 dblp:conf/isit/GuoQFS14 fatcat:ixtw5awmb5avrebbqcf73agwj4