{"title":"Control of a hybrid filter topology for the reduction of high frequency harmonics","authors":"J. Bergmann, K. Hoffmann, B. Gleich, O. Woywode","doi":"10.1109/IWMPI.2013.6528328","DOIUrl":null,"url":null,"abstract":"The Digital Chain is realized as an adaptive finite impulse response filter (FIR). FIR filters with the order of N consist of (N-1) time delay elements, adder and filter coefficients w(n). Based on the measured harmonics in the voltage of ZLoad the filter coefficients are adjusted using the Filtered x Least Mean Square (FxLMS) algorithm [2]. The FxLMS is a stochastic gradient descent method producing the least mean squares of the detected harmonics by updating the filter coefficients with the given formula: w(n +1) = w(n) + μe(n)x(n).","PeriodicalId":267566,"journal":{"name":"2013 International Workshop on Magnetic Particle Imaging (IWMPI)","volume":"38 3 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2013 International Workshop on Magnetic Particle Imaging (IWMPI)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IWMPI.2013.6528328","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The Digital Chain is realized as an adaptive finite impulse response filter (FIR). FIR filters with the order of N consist of (N-1) time delay elements, adder and filter coefficients w(n). Based on the measured harmonics in the voltage of ZLoad the filter coefficients are adjusted using the Filtered x Least Mean Square (FxLMS) algorithm [2]. The FxLMS is a stochastic gradient descent method producing the least mean squares of the detected harmonics by updating the filter coefficients with the given formula: w(n +1) = w(n) + μe(n)x(n).
数字链是一种自适应有限脉冲响应滤波器(FIR)。阶数为N的FIR滤波器由(N-1)个延时元件、加法器和滤波系数w(N)组成。基于ZLoad电压中测量到的谐波,使用Filtered x Least Mean Square (FxLMS)算法调整滤波器系数[2]。FxLMS是一种随机梯度下降法,通过将滤波器系数更新为w(n +1) = w(n) + μe(n)x(n)来产生检测到的谐波的最小均方差。