Appendix D
Network Coding
D.1 Nonbinary NC based on UE Cooperation
proof (Theorem 8.3.1)
One possibility to measure the performance in the range of medium-to-high Signal to Noise Ratio (SNR), outage probabilities are considered, represented by the diversity order d. Recall from Chapter 5, d can be expressed as:
(D.1)
where P is the relevant error probability under consideration (e.g. frame error probability or outage probability). Clearly, a received codeword is obtained as 
, where 
and 
are transmitted and received channel codewords, respectively; 
is additive white Gaussian noise with zero-mean and unit variance; 
denotes the fading channel gain. The index 
denotes the transmitting user U1 or U2, denotes the receiving Base Station (BS), U1 and U2, respectively, and k denotes the time slot. ...
