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在通信工程及其它领域中,常遇到给定一批固定型式的基函数(或基网络),在一定的约束条件下优化选择合并(组合)成为所需网络(或函数)中各型基网络的个数,使此组合函数(组合网络特性)与给定函数在某种准则下的偏差为最小。这类优化问题我们称之为选配式(或积木式)优化问题。在通信工程中海缆通信系统增音站均衡器设计,以集成器件为单元的组合设计等优化设计问题都属此类问题。随着集成器件的迅速发展,此类问题的出现将愈来愈多。本文研讨此类优化设计数学模型的建立方法及其解法,包括适当应用已有的数学解法及提出新的方法以及它们在工程应用方面的考虑。 在本文中以有关单位提出的实际课题“海缆通信系统增音站均衡器设计”为例,对用p范数准则的情况(p=1,2,∞)作了实际设计,从中看出实际结果与理论分析相符。
In the field of communication engineering and other fields, it is often encountered that given a fixed number of basis functions (or basis networks), under certain constraints, the optimal combination of choices (combinations) becomes the basis of each type of network (or function) The number of networks minimizes the deviation of this combination function (combination of network characteristics) from a given function under some criterion. We call this type of optimization problem matching (or building block) optimization problems. In communications engineering submarine cable communication system equalizer design, to the integrated device as a unit of the combination of design and other optimization design issues are such issues. With the rapid development of integrated devices, the emergence of such problems will be more and more. In this paper, we discuss how to establish such mathematic models of optimal design and their solutions, including the proper application of existing mathematical solutions and the introduction of new methods and their application in engineering applications. In this paper, an actual project proposed by the relevant unit, “EQ Equalizer Design of Submarine Cable System” is taken as an example. The actual design of p norm (p = 1, 2, ∞) The actual results are consistent with the theoretical analysis.