合成多频磁感应信号同步激励-检测方法研究

杜强; 张可昊; 柯丽; 王晨阳

doi:10.11999/JEIT181083

合成多频磁感应信号同步激励-检测方法研究

doi: 10.11999/JEIT181083

沈阳工业大学电气工程学院沈阳 110870

基金项目: 国家自然科学基金(51377109)，辽宁省教育厅重点实验室基础研究项目(LZ2014011)

详细信息

作者简介:
杜强：男，1975年生，博士，讲师，研究方向为生物阻抗检测、人体电信号检测与分析

张可昊：男，1993年生，硕士生，研究方向为医学电磁工程及医疗仪器

柯丽：女，1977年生，博士，教授，博士生导师，研究方向为生物阻抗成像、医学电磁工程

王晨阳：男，1995年生，硕士生，研究方向为生物医学电子与信息技术

通讯作者:
柯丽　keli@sut.edu.cn

中图分类号: TM933
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出版历程
- 收稿日期: 2018-11-26
- 修回日期: 2019-04-22
- 网络出版日期: 2019-04-29
- 刊出日期: 2019-09-10

Research on Synchronous Excitation and Detection Method for Synthetic Multi-frequency Magnetic Induction Signals

School of Electrical Engineering, Shenyang University of Technology, Shenyang 110870, China

Funds: The National Natural Science Foundation of China (51377109), The Natural Science Foundation of Liaoning Province (LZ2014011)

摘要

摘要: 磁感应检测技术是一种非接触、无创的电阻抗检测技术，多频率同步检测可同时获得不同频率下被测对象的阻抗信息。该文首先研究了磁感应信号多频率同步激励与检测原理，基于Walsh函数合成了5频率激励信号。其次分析了合成多频率同步检测性能，设计了合成多频磁感应信号同步检测系统。最后，通过合成5频率激励信号与同步检测系统进行不同电导率NaCl溶液的检测实验，结果表明：合成5频率激励信号5个主谐波的测量结果都具有很好的线性度，为磁感应信号多频率同步检测提供了激励-检测方法。
- 磁感应信号 /
- 合成多频信号 /
- Walsh函数 /
- 电导率测量
Abstract: Magnetic induction detection technology is a non-contact and non-invasive electrical impedance detection technology. Multi-frequency synchronous detection can simultaneously obtain the impedance information of the tested object at different frequencies. Firstly, the principle of multi-frequency synchronous excitation and detection of magnetic induction signal are studied. Five-frequency excitation signal is synthesized based on Walsh function. Secondly, the performance of synthesized multi-frequency synchronous detection is analyzed, and a synthesized multi-frequency magnetic induction signal synchronous detection system is designed. Finally, the detection experiments of NaCl solution with different conductivities are carried out by synthesizing five-frequency excitation signal and synchronous detection system. The results show that the measurement results of five main harmonics of synthesized five-frequency excitation signal have good linearity. It provides an excitation-detection method for multi-frequency synchronous detection of magnetic induction signal.
- Magnetic induction signal /
- Synthetic multi-frequency signal /
- Walsh function /
- Conductivity measurement

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图 1 合成多频磁感应信号同步激励-检测等效电路

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图 2 合成f (5, t)所需的5个Walsh函数

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图 3 合成的f (5, t)在单位周期[0, 1]上的波形

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图 4 f(5, t)的幅度谱和功率谱

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图 5 FPGA输出的f(5, t)信号

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图 6 FPGA输出的f(5, t)信号傅里叶变换结果

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图 7 同步激励-检测系统

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图 8 合成多频磁感应信号同步检测稳定性实验结果

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图 9 NaCl溶液的电导率和各谐波电压幅值差的关系图

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图 10 各主谐波平均幅值差$\Delta {b_k}$与电导率的关系

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表 1 合成5频率同步信号f(5, t)的主谐波H_k频谱特性

H_k	f₀	2f₀	4f₀	8f₀	16f₀	总和
b_k(V)	0.6173	0.5882	0.5443	0.4775	0.4775
P_k(%)	19.05	17.30	14.76	11.40	11.40	73.91

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表 2 合成5频率激励信号f(5, t)的主谐波H_k频率值

H_k	f₀	2f₀	4f₀	8f₀	16f₀
T_clk=100 μs	312.5 Hz	625 Hz	1.25 kHz	2.5 kHz	5 kHz
T_clk=50 μs	625 Hz	1.25 kHz	2.5 kHz	5 kHz	10 kHz

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表 3 电导率与NaCl溶液浓度关系表

电导率$\sigma $(S/m)	1.0	2.0	3.0	4.0
ppm(mg/L)	5439	11476	17624	23713

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表 4 不同电导率NaCl溶液同步检测结果

$\Delta {b_k}$(mV)	f₀	2f₀	4f₀	8f₀	16f₀
1.0 S/m	265.355	252.738	233.404	205.126	205.396
2.0 S/m	277.931	264.274	244.421	214.596	214.693
3.0 S/m	290.190	276.316	255.436	224.515	224.252
4.0 S/m	302.210	288.198	266.145	233.576	234.086

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表 5 各谐波归一化系数

H_k	f₀	2f₀	4f₀	8f₀	16f₀
归一化系数	1.000	1.050	1.136	1.293	1.293

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表 6 归一化处理后不同电导率NaCl溶液同步检测结果

$\Delta {b_k}$(mV)	f₀	2f₀	4f₀	8f₀	16f₀	平均值
1.0 S/m	265.355	265.269	265.160	265.210	265.560	265.311
2.0 S/m	277.931	277.377	277.677	277.454	277.579	277.603
3.0 S/m	290.190	290.016	290.190	290.279	289.939	290.123
4.0 S/m	302.210	302.487	302.356	301.993	302.653	302.340

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