;Wireless communications are required to transmit data more efficiently. An important topic is how to transmit the same quantity of data in a shorter period of time. Recently, two-way relaying is a popular subject, where two terminal nodes transmit to each other with the help of the relay node. Two-phase two-way relaying (TPTWR) using physical-layer coding is a bandwidth efficient technique. On the other band, differential encoding (DE) does not require the transmission of pilot symbols for channel estimation, so no rate loss is caused. Differential encoding for two-way relaying is a topic of interests.
Trellis-coded modulation is a combination of channel coding and modulation technology that provides efficient digital transmission without increasing bandwidth. For additive white Gaussian noise channels , TCM with differential encoding(TCM-DE), Where trellis coding is done followed by differential encoding, was proposed and studied.
In this thesis, we first compare TCM-DE and DE for the three-stage decoding and forward scheme. Then for the two-stage decoding and forward scheme, The error performances of TCM-DE and DE using three-symbol detection are discussed and compared.