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首先介绍了3种宽带Wilkinson功分器的综合方法,重点阐述了最为常用的Cohn的设计方法,并指出随着功分器节数的不断增加,在利用Cohn的设计公式计算隔离电阻阻值时会产生负数的问题。为此,通过引入一个调整参数改进Cohn的设计公式,实现了节数更多情况下隔离电阻阻值的准确计算。在计算功分器各级传输线特性阻抗的过程中,提出了一种基于MATLAB程序的多项式化简方法,实现了任意带宽的切比雪夫阻抗变换器参数的快速计算。此外,还给出了一个8级到15级的功分器设计参数表格,作为对Cohn给出的设计表格的扩展。最后,利用改进后的设计公式,设计了一个1~15GHz的宽带Wilkinson功分器。仿真和测试结果证明了这种方法的有效性。
Firstly, the synthesis method of three kinds of wideband Wilkinson power splitters is introduced. The most commonly used Cohn design method is introduced. It is pointed out that as the number of power splitters increases, when using Cohn’s design formula to calculate the isolation resistance There will be negative problems. For this reason, an adjustment parameter is introduced to improve Cohn’s design formula, which realizes the accurate calculation of the isolation resistance in more cases. In calculating the characteristic impedance of the transmission line at all levels of the power splitter, a polynomial reduction method based on the MATLAB program is proposed to realize the fast calculation of the Chebyshev impedance transformer with arbitrary bandwidth. In addition, an 8th to 15th power divider design parameter table is given as an extension of the design table given by Cohn. Finally, a 1 ~ 15GHz wideband Wilkinson power splitter is designed by using the improved design formula. Simulation and test results prove the effectiveness of this method.