A novel procedure for the circuit implementation of the driving-point impedance of frequency-domain material models, constructed from fractional-order elements of arbitrary type and order, is introduced in this work. Following this newly introduced concept, instead of emulating separately each fractional-order element in the model under consideration, the direct emulation of the complete model can be achieved through the approximation of the total impedance function. The magnitude and phase frequency responses of the impedance function are first extracted and approximated through curve-fitting-based techniques. A rational integer-order driving-point impedance function is then obtained and realized using appropriately configured passive and/or active topologies. Comparison between the conventional method and the proposed method reveals that the achieved benefit is the significant reduction of the passive and/or active components count. Verification of the introduced concept is performed through circuit simulation results using OrCAD PSpice in the case of a root/stem/electrode interface model, as well as through experimental results where the driving-point input impedance of the human respiratory system under different health conditions is synthesized on a Field-Programmable Analog Array device.

在这项工作中介绍了一种新的电路实现频域材料模型的驱动点阻抗的过程，该模型由任意类型和阶次的分数阶元素构成。遵循这个新引入的概念，不是单独仿真所考虑模型中的每个分数阶元素，而是可以通过总阻抗函数的近似来实现完整模型的直接仿真。阻抗函数的幅度和相位频率响应首先通过基于曲线拟合的技术提取和近似。然后使用适当配置的无源和/或有源拓扑获得并实现合理的整数阶驱动点阻抗函数。常规方法与提出的方法之间的比较表明，所获得的好处是显着减少了被动和/或主动组件的数量。在根/茎/电极接口模型的情况下，通过使用 OrCAD PSpice 的电路仿真结果，以及通过在不同健康条件下人体呼吸系统的驱动点输入阻抗为的实验结果，对引入的概念进行验证在现场可编程模拟阵列设备上合成。