Eleni Antoniou, "Polar coding for the binary erasure channel", Diploma Work, School of Electrical and Computer Engineering, Technical University of Crete, Chania, Greece, 2018
https://doi.org/10.26233/heallink.tuc.78332
In this thesis, we present the basic principles of polar coding for the binary erasure channel. We explain the process of channel polarization and demonstrate that polar coding is capacity achieving. Then, we present efficient techniques for the coding process, two different implementations of the successive decoder, and an efficient method for the construction of the code (i.e., the selection of the virtual channels that will carry the useful information). Finally, we show how polar coding can be used for the degraded broadcast channel to transmit public data to two receivers and private data to one of them.