Augmented Lagrange Algorithms And Applications In Optimization Of Wireless Optical Communication System

Augmented Lagrange method is an important kind method for constrainted optimization problems,which needn't initial feasible point and penalty parameter tending to zero or infinite.This thesis studied the augmented Lagrange function algorithms for constrainted optimization problems,and applied them to the optimization of wireless optical communication system.The main contents of this thesis are as follows.The Chapter 1 introduced the current research on the augmented Lagrange function algorithm,and summarized the reasearch about wireless optical communication system.Based on this,the work of this thesis is given.The Chapter 2 proposed a new augmented Lagrange function for the general constrainted optimization problems,and the properties of this function were analyzed. And the corresponding algorithm is established based on this function, the, convergence is analyzed and the numerical experiments were performed for many optimization problems,which showned the augmented Lagrange function algorithm were effective.In Chapter 3, under the given error rate, the wireless optical communication optimization model was analyzed, to which optimal solutions were given by using the quadratic augmented Lagrange function algorithm.The two models for the wireless optical communication system under the atmospheric transmission window and under the atmospheric trubulence were established respectively, to which the optimal solutions were obtained by using the new augmented Lagrange function algorithm. The experimental results may provide some schemes for optimization of the wireless optical communication system.The Chapter 4 summarized the work of this thesis and proposed the further research work.