A Simplified Time-Domain Fitting Method Based on Fractional Operational Matrix for Cole Parameter Estimation
A Simplified Time-Domain Fitting Method Based on Fractional Operational Matrix for Cole Parameter Estimation
复制标题
基于分数阶运算矩阵的科尔参数估计的简化时域拟合方法
DOI：
10.1109/tim.2019.2912592
复制
发表时间：
2020-04
影响因子：
5.6
通讯作者：
Li Jianmin
中科院分区：
文献类型：
--
作者：
Zhang Fu;Teng Zhaosheng;Rutkove Seward;Yang Yuxiang;Li Jianmin
科尔模型广泛应用于生物阻抗谱（BIS）应用中，用于评估生物组织的内容物和状态。传统的科尔参数估计（CPE）频域拟合方法通常需要宽带直接或间接BIS测量。新出现的时域拟合方法不需要BIS测量，但它们通常具有不令人满意的估计精度，并且严重依赖于某些特定的激励。提出了一种基于分数阶运算矩阵（FOM）的CPE时域拟合方法。首先，将科尔模型表示为基于FOM的代数方程。然后，基于模型的电压响应可以被计算为采样的电流激励和基于FOM的科尔方程的乘积。最后，可以通过使用迭代非线性最小二乘拟合算法最小化采样电压响应和基于模型的电压响应之间的平方误差和来估计科尔参数。在三个2R1C电路和健康志愿者的体内腿部肌肉上验证了实验测量。结果表明，基于FOM的拟合方法可以直接利用采样的电流和电压信号准确地估计出科尔参数。本文建立了一种有效的CPE时域拟合方法，该方法可以在不需要BIS测量的情况下，大大简化硬件和软件设计。
The Cole model is widely used in bioimpedance spectroscopy (BIS) applications for evaluating the contents and status of biological tissues. Traditional frequency-domain fitting methods for Cole parameter estimation (CPE) often need wideband direct or indirect BIS measurements. The newly emerged time-domain fitting methods do not require BIS measurement, but they usually have unsatisfactory estimation accuracy and heavily rely on some specific excitations. This paper proposes a novel time-domain fitting method based on the fractional operational matrix (FOM) for CPE. First, the Cole model is represented as a FOM-based algebraic equation. Then, the model-based voltage response can be calculated as the product of the sampled current excitation and the FOM-based Cole equation. Finally, the Cole parameter can be estimated by minimizing the sum of squares error between the sampled voltage response and the model-based voltage response using an iterative nonlinear least-squares fitting algorithm. Experimental measurements are verified on three 2R1C circuits and in vivo leg muscle of a healthy volunteer. The results show that the Cole parameter can be accurately estimated by the proposed FOM-based fitting method directly using the sampled current and voltage signals. This paper establishes an effective time-domain fitting method for CPE, which could greatly simplify the hardware and software designs without the need for the BIS measurement.
登录
查看更多内容
影响因子：
3
作者：
Bingtuo Guo;Jian Li;H. Zmuda
通讯作者：
Bingtuo Guo;Jian Li;H. Zmuda
影响因子：
5.7
作者：
D. Caratelli;L. Mescia;P. Bia;O. Stukach
通讯作者：
D. Caratelli;L. Mescia;P. Bia;O. Stukach
影响因子：
3.2
作者：
S. Armstrong;D. Jennings
通讯作者：
S. Armstrong;D. Jennings
影响因子：
3.2
作者：
RIGAUD, B;HAMZAOUI, L;MORUCCI, JP
通讯作者：
MORUCCI, JP
DOI：
10.1201/b22451
发表时间：
2018-07
期刊：
--
影响因子：
--
作者：
Jian V. Li;G. Ferrari
通讯作者：
Jian V. Li;G. Ferrari