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中文摘要：
为了促使自私用户合作并在合作中提高能量效率，提出了一种基于纳什谈判解的带宽交换协作算法．解决了用户协作网络中的2个关键问题：何时合作及如何合作．首先，针对何时合作问题，提出了用户合作条件以保证用户在合作时获得的能量效率不低于非合作时的能量效率；其次，针对如何合作问题，提出了基于纳什谈判解的协作带宽分配方法．仿真结果表明，随着QAM调制阶数的增加，用户只能在更大的信噪比下建立合作．同时，能量效率随着调制阶数的增加而降低．和非合作方式相比，所提算法能明显提升协作用户间的能量效率．
英文摘要：
A bandwidth-exchange cooperation algorithm based on the Nash bargaining solution （NBS） is proposed to encourage the selfish users to participate with more cooperation so as to improve the users＇ energy efficiency. As a result, two key problems, i.e. , when to cooperate and how to cooperate, are solved. For the first problem, a proposed cooperation condition that can decide when to cooperate and guarantee users＇ energy efficiency achieved through cooperation is not lower than that achieved without cooperation. For the second problem, the cooperation bandwidth allocations （CBAs） based on the NBS solve the problem how to cooperate when cooperation takes place. Simulation results show that, as the modulation order of quadrature amplitude modulation （QAM） increases, the cooperation between both users only occurs with a large signal-to-noise ratio （SNR）. Meanwhile, the energy efficiency decreases as the modulation order increases. Despite all this, the proposed algorithm can obviously improve the energy efficiency measured in bits-per-Joule compared with non-cooperation.
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