提高测量分辨率的改进Dither方法

Measurement resolution enhancement by improved Dither method

传统的Dither方法(DM)通过随机抖动待测量的值,能够达到提高测量分辨率的目的,但是对分辨率的提升效果有限。为了进一步提升测量分辨率,提出了一种改进的Dither加扰方法(IDM)。IDM是在特定范围内并且按照特定的序列值对待测量进行抖动。通过数学推导,在理论上证明了利用IDM测量N次可将测量分辨率提高N倍。利用MATLAB分别采用DM和IDM对50个随机待测量进行仿真测量,对测量误差的均值和方差进行分析,仿真结果表明,IDM的测量精度与测量的稳定性均优于传统DM,且随着测量次数的增加,IDM的优势越明显。最后搭建了实验平台,对IDM进行实测分析,当实际测量次数为11次时,IDM的测量精度相对于直接测量提高了2.54倍。

Traditional Dither method(DM)can improve the measurement resolution by randomly dithering the quantities to be measured.However,the resolution improvement of DM is limited.To further improve the measurement resolution,an improved dithering method(IDM)is proposed.IDM is dithering the quantities to be measured in a certain sequence and within a given range.This paper provides theoretical mathematical proof that the resolution of IDM increases by N times when the quantities are measured N times.Simulations of 50 random quantities have been conducted in MATLAB by DM and IDM respectively.Mean value and variance analysis of measurement errors is presented,which shows that the measurement accuracy and stability of IDM are better than those of DM.The performance advantage of IDM is much more obvious with the increase of measure times.An experimental platform is built to conduct physical measurement data analysis and results show that the measurement accuracy of IDM is 2.54 times better than that of direct measurement.