If the power constraints of user and user are set as and, respectively, then the Nash equilibrium will be,,,, where the utility of user is 0.1761, the utility of user is 0.2730, and the social utility has value.
Since the Nash equilibrium model only considers each user's power demand, we set the power constraints of user and user as 2 and get a Nash equilibrium,,,, where the utility of user is 0.3010, the utility of user is 0.1938, and the social utility has value.
The proposed method maximizes the sum capacity of BE users subject to rate constraints of GP users.
As a result, the power and the subband allocation functions depend on the rate constraints of the users, in particular the hard-QoS users which have strict data rate requirements.
In this paper, based on the property of the circular matrix we derive a framework of rate analysis for SC-FDMA and OFDMA, which is a generalization of the result in [3], and it allows for the calculation of the achievable rate using arbitrary sub-carrier assignment methods in both the single user system and the multi-user system subject to individual power constraints of the users.
where Rj, mindenotes the rate constraint of user j.
where and are transmit power strategy and average power constraint of user, respectively.
The design criterion is to minimize the transmit power at CBS, subject to the signal-to-interference-plus-noise-ratio (SINR) constraints of cognitive users (CUs) and the interference constraints at primary users (PUs).
In consideration of the resource constraints of MANET users, the group establishing algorithm should attempt to avoid frequent interaction among users and rapidly organize the mass mobile users into several communication groups in order to reduce the energy consumption.
An efficient algorithm is developed to optimize the spatial precoder aiming at maximization of the system sum rate subject to individual power constraints of the users and maintenance of the low PAPR property for one user.
