Arıkan’s polar coding is by now a well studied technique that allows achieving the symmetric capacity of binary input memoryless channels with low complexity encoding and decoding, provided that the polar decoding architecture is used and the decoding metric is matched to the true channel. In this talk, we will analyze communication rates that are achievable when the polar coding/decoding architecture is used with the decoder using an incorrect model of the channel. We define the ‘polar mismatched capacity’ as an analogue of the classical mismatched capacity, give an expression for it, and derive lower bounds on it. 

For more details, check out the article: https://arxiv.org/abs/1610.07297