Physical-layer Network Coding: Design of Constellations over Rings

The main goal of this work is to design constellations in a system of Physical-layer Network Coding (PNC). The design is based on constellations over two commutative rings: GAUSSIAN Integers and EISENSTEIN Integers. 

Using this particular system as a working base, first we have identified the needed theory in the design, as well as the needed performance metrics in order to analyse the proposed constellations. Then, we have presented the most used constellations nowadays in order to be used as a comparison. Finally, we have proposed a design methodology and four newly derived proposals. Further, the obtained results have been analysed and the particular studied PNC system has been implemented.