Previous work on the optimum power allocation and user selection solution was derived based on Lagrange dual decomposition proposed by Wong et al. To maximize the energy efficiency of the system. A low complexity algorithm for the allocation of proportional resources in OFDMA system was proposed in ref. Where the linear method and root search algorithm were used to assign energy and data rates to users. A gradient-based solution was proposed by Rajendrasingh et al. For downlink OFDM wireless systems and a 96.6% utility. Reddy proposed an adaptive resource allocation scheme based on the Genetic Algorithm to increase the user data rate, where the water filling principle was used as a conditioning function. The water filling theorem is based on a continuous relationship between the rated power and the attainable capacity. Assignment of OFDM system resources by multi-objective particle swarm optimization. Another work with adaptation of resource allocation based on modified GA and optimization of swarm of particles (PSO) for multi-user OFDM system was proposed by Kennedy and Eberhart. In this article it has been shown that MOPSO power optimization is better than 3GPP LTE and NSGA II Algorithm. 

A problem of optimization of power limitations and the use of GA algorithm to maximize the sum of the OFDM system capacity with the total power constraint was investigated in ref. It was also shown that GA is better than conventional methods. A scheme for resource allocation in downlink MIMO OFDMA with proportional equity where the dominant Eigen channels obtained from MIMO state matrix are used to formulate the scheme with low complexity. It provides a much higher capacity gain than the static allocation method. A PSO-based adaptive multi-carrier cooperative communication technique that uses the subcarrier in a deep fade using a retransmission node to improve bandwidth efficiency where centralized and distributed versions of PSO were investigated. Atta-ur-Rahman et al. In ref. It used GA and water filling principle along with FRBS for adaptive coding, modulation and power in OFDM systems, where GA was used to adapt power. The paper is organized as follows: Section III deals with the multiple modulation OFDM system in which the QAM modulation is considered with M = 4, 16, 32, 64, 128, 256. The aspects of FRBS and PSO Are discussed for the FRBS rule are defined in section IV. Section V describes the simulation and results of the OFDM system. VI concludes the document.