最优化理论在信息论中的应用_(2)

时间:2025-05-04

最优化课程的具体应用,结合具体的专业。

ABSTRACT

Optimization theory and algorithm is an important branch of mathmatics, which focus on how to measure various kinds of plans to pick out the best one as well as how to coming up with the most excellent plan. Such problems generally exist in most types of engineering calculation and design field, and the optimization provides a strong theoretical foundation and reliable algorithm for these solutions, which has played a huge role in the actual application. The information theory is based on the Shannon's theorems and refers to a proportion of optimization problems on the information content and information capacity.

In this paper, the application of optimization in the information theory field will be studied and analysed in the combination of part of the professional knowledge on the information and communication. With the help of Matlab numerical computation toolbox, the Zoutendijk feasible direction method in the optimization text concering on the problem with non-linear objective function and linear constrainted functions will be programmed to solve the corresponding problem of imformation theory. Through this process, the Shannon's theorems can be explained in the aspect of numerical computation, which may gain the understanding of the theorems; and the optimization theory can be better grasped during the practical application.

Keywords: optimization information theory Shannon's theorems

Feasible Direction Method Zoutendijk

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