Optimal joint power allocation and sub‐carrier pairing in amplify‐and‐forward SC‐FDMA relaying networks

Optimal power allocation (PA) and sub-carrier pairing (SP) strategies for a dual-hop amplify-and-forward single-carrier frequency division multiple access network are derived. Frequency domain equalisers based on minimum mean square error (MMSE) and zero forcing (ZF) criteria are considered. For each equaliser, the problem of joint PA and SP is solved to maximise the system capacity subject to the total network power constraint. The optimality of ordered SP (OSP) and reverse OSP scenarios for MMSE and ZF equalisers, respectively, is proved.