首页|期刊导航|传感技术学报|一种MEMS谐振式传感器谐振频率与Q值的时频域测量方法

一种MEMS谐振式传感器谐振频率与Q值的时频域测量方法OA

A Time-Frequency Domain Measurement of Resonant Frequency and Q Value of a MEMS Resonant Sensor

中文摘要英文摘要

准确高效地获取 MEMS(微机电系统)谐振传感器的谐振频率和 Q 值是影响传感器灵敏度和稳定性的关键.为了解决谐振式传感器的谐振频率与 Q 值的快速精准测量问题,提出了一种融合快速傅里叶变换(FFT)、线性调频 Z 变换(CZT)和希尔伯特变换(Hilbert)的信息处理方法,并通过 FPGA 加以实现.首先对谐振器的余振信号通过 FFT 和 CZT 变换进行高精度频谱分析,求得谐振频率;再对余振信号进行 Hilbert 变换获取包络线,最后利用最小二乘法对包络线进行拟合求得衰减系数,进而获得 Q 值.FPGA 硬件测试表明,该方法能够准确地获取谐振频率与 Q 值,谐振频率的相对误差达到了 10-4量级;Q值相对误差达到了 10-3量级,高于传统频谱分析方法,且该方法与扫频法相比显著缩短了测量时间.研究成果对 MEMS 谐振式传感器的原位测量具有较好的借鉴意义.

In order to ensure the sensitivity and stability of MEMS(micro electro mechanical systems)resonant sensors,the frequency and Q value must be measured precisely and effectively.Based on FPGA,an information processing method incorporating fast fourier transform(FFT),linear frequency modulation Z-transform(CZT),and Hilbert transform(Hilbert)is proposed.Firstly,the resonance frequency is obtained by analyzing the residual vibration signal of the resonator with a high-accuracy spectrum through the FFT and CZT transforms.Then,the Hilbert transform is performed on the aftershock signal to obtain the envelope.Finally,the envelope is fitted by using the least squares method to obtain the attenuation coefficient to further derive the Q value.The test results show that the method can accurately obtain the resonance frequency and Q value.The relative error of the resonant frequency reaches the order of 10-4.The relative error of the Q value reaches the order of 10-3,which is higher than that of the conventional spectrum analysis method.The method significantly reduces the measurement time compared to the sweep method.The research results have good references significance for the in-situ measurement of MEMS resonant sensors.

郭卓勋;刘帅;杜晓辉;张涛;丁炯

中国计量大学计量测试与仪器学院,浙江 杭州 310018||机械工业仪器仪表综合技术经济研究所,北京 100055机械工业仪器仪表综合技术经济研究所,北京 100055机械工业仪器仪表综合技术经济研究所,北京 100055中国计量大学计量测试与仪器学院,浙江 杭州 310018中国计量大学计量测试与仪器学院,浙江 杭州 310018

信息技术与安全科学

微机电系统信号处理时频域测量谐振传感器谐振频率Q值CZT变换Hilbert变换

MEMSsignal processingtime-frequency domain measurementresonant sensorsresonant frequencyQ valueCZT transformHilbert transform

《传感技术学报》 2026 (7)

1424-1430,7

国家重点研发计划项目(2023YFB3210804)浙江省属高校基本科研业务费专项资金项目(2023YW97)

10.3969/j.issn.1004-1699.2026.07.002

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