摘要
为了从噪声信号得到其平滑的任意阶导数,提出一种简单有效的算法,先对滑动窗口中的信号进行曲线拟合,接着对拟合后的信号进行分数阶求导,取其窗口中心位置的导数值为当前窗口的分数阶导数值,通过窗口的滑动可以得到整个信号的分数阶导数。利用此方法,可以直接从噪声信号中得到其任意阶导数,而常规导数仅仅是本方法的特例。此方法为通信系统中噪声信号的处理提供了便捷的途径,应用其对噪声信号进行增强。
In order to obtain directly an arbitrary order derivative from a noised signal,the polynomial was taken to fit the signal in the sliding window,then the computation of the fractional order derivative of the fitted polynomial was executed and the fractional order derivative value of the center position of the window was taken as the fractional order derivative of the target position.The fractional order derivative of the noised signal would be obtained by sliding the window.Arbitrary order derivatives of a noised signal can be obtained by the proposed method,the integer order derivative was just a special case of that.This method provided a convenient way to deal with the noise signal in communication system,and the proposed method was applied to enhance a noisy signal.
作者
许小明
黄宸武
XU Xiaoming;HUANG Chenwu(School of Physics and Engineering Technology,Yichun University,Yichun 336000,China)
出处
《南昌大学学报（工科版）》
CAS
2019年第1期92-95,共4页
Journal of Nanchang University(Engineering & Technology)
基金
国家自然科学基金资助项目(51366013)
关键词
分数阶导数
曲线拟合
平滑滤波
重叠峰信号分辨
fractional order derivative
curve fitting
smooth filtering
resolution of the overlapped peaks
