Polar codes, ever since their introduction, have been shown to be very effective for various wireless communication channels. This together with their relatively low implementation complexity has made polar codes an attractive coding scheme for wireless communications. On the other hand, within the realm of non-coherent wireless MIMO communication, Grassmannian signalling has been shown to approach the ergodic capacity of frequency-flat block fading channels. In this paper, a novel methodology for designing polar codes that works effectively with Grassmannian signalling and a novel set partitioning algorithm for Grassmannian constellations are proposed. We compare the error rate performance of our design with that of existing schemes and show that a gain of over 1 dB over the previously known best technique, which is based on turbo codes, is possible, at much lower decoding complexity.

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Persistent URL dx.doi.org/10.1109/ICC.2016.7511290
Conference 2016 IEEE International Conference on Communications, ICC 2016
Balogun, P.R. (Philip R.), Marsland, I, Gohary, R, & Yanikomeroglu, H. (2016). Polar codes for noncoherent MIMO signalling. In 2016 IEEE International Conference on Communications, ICC 2016. doi:10.1109/ICC.2016.7511290