分形分抗逼近电路的简略分析法:理论基础与应用

Theoretical basis and application of fractal fractance approximation circuit brief analysis method

根据分形分抗逼近电路的电路结构特征,利用一种新方法--简略分析法,对分形分抗逼近电路的运算特征和性能进行定性研究.针对未经拓展前的Oldham分形链分抗逼近电路,建立简略分析法的理论基础,确定该理论研究的组成内容,并验证该种方法内容构成的可靠性.在此基础上,利用简略分析法实现标度拓展后的分形分抗逼近电路在运算特征与性能方面的应用研究.利用典型的数值求解方法进行仿真来验证应用结果.总结性提出简略分析法使用过程中应当遵循的法则,为分形分抗逼近电路运算性能和特征的研究提供理论指导.

According to the circuit structure characteristics of fractal fractance approximation circuit,a new method,brief analysis,is used to qualitatively research the operation characteristics and performance of fractal fractance approximation circuit.Aiming at Oldham fractal chain fractance approximation circuit before expansion,the theoretical basis of brief analysis method is established,the content of the theoretical study is determined,and the reliability of the content composition of this method is verified.On this basis,the application research of scale-extended fractal fractance approximation circuit in computing characteristics and performance is realized by using brief analysis method.A typical numerical method is used to verify the application results.In conclusion,this paper puts forward some rules that should be followed in the application of the brief analysis method,and provides theoretical guidance for the study of the performance and characteristics of fractal fractance approximation circuit.