Frequency behavior of self-similar ladder circuits
Frequency behavior of self-similar ladder circuits
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自相似梯形电路的频率行为
DOI：
10.1016/s0927-7757(01)00988-8
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
K. Saito
中科院分区：
文献类型：
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作者：
M. Sugi;Y. Hirano;Y. Miura;K. Saito
分形导抗 Y(ω)∝ωa 或 Z(ω)∝ω−a(0<a<1) 具有可选的 a 值，已被发现使用自相似梯形电路与每组元件 R 或 C 进行模拟，形成几何级数。最佳带宽 Bopi 是针对给定标准相对于相位角进行数值计算的，作为梯形中涉及的梯级数量 n 的函数。研究发现，对于 a=0.25–0.75，在 18 个梯级或更少的情况下，可以达到 Bop≥5，相角误差为 ±1/2°，这表明自相似阶梯对于分形导抗的硬件实现的可用性。
The fractal immittance, Y(ω)∝ωaor Z(ω)∝ω−a(0<a<1) with an optional a-value, has been found to be simulated using self-similar ladder circuits with each set of elements, R or C, forming a geometric progression. The optimum bandwidth Bopis numerically calculated for a given criterion with respect to the phase angle as a function of the number of rungs n involved in the ladder. Bop≥5 with a phase-angle error of ±1/2° is found to be attainable for a=0.25–0.75 by 18 rungs or less, indicating the availability of the self-similar ladders for the hardware realization of fractal immittance.