消噪算法的研究

Xiao-xia Shi, Jun Yu Li
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引用次数: 1

摘要

为了更好地确认有用信息,必须考虑值的变化幅度。其次,滤波器的效果与滤波器的选择和输入参数有关,但由于实时序列波动的复杂性,使得滤波器的选择和输入参数难以确定。因此这种去噪方法应用起来比较复杂。针对这一不足,本文提出了一种基于事件的去噪方法。该方法直接利用曲线的极值斜率和曲率等数学特征进行去噪。该方法原理简单,易于操作。为了证明该方法的有效性和优越性,本文首先对基于傅里叶变换的去噪方法进行了研究,并用两种方法对股票的实时序列进行了实验。结果表明,该方法能够有效地去噪,同时操作简单,最大程度地保持了时间序列的原始特征。基于傅里叶变换的去噪方法傅里叶变换是一种基本的、常用的信号处理方法。令{at:t=…,-1,0,1,…}表示一个实值变量的无穷级数,则傅里叶变换可以定义为复值函数:
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Research on the De-Noising Algorithm
to confirm the useful information better, the changing magnitude of the value must be considered. Secondly, the effect of filter is related to the choice and the input parameters of filter, but it is so difficult to confirm the choice and the input parameters of filter due to the complicated wave of the real time series. So this de-noising method will be complicated to apply. According to this shortage, here proposes a kind of de-noising method based on event. This method directly utilizes the mathematical features of curve such as the extremum slope and curvature to de-noise. The principle of this method is simple and easy to operate. In order to prove the validity and advantage, Here first it researches on the de-noising method based on Fourier transform and makes experiment based on real time series of the stock with two methods. The result proves that the new method can de-noise effectively, at the same time it is easy to operate and can keep the original characters of the time series furthest. II、 DE-NOISING METHOD BASED ON FOURIER TRANSFORM Fourier transform is one of the basic and common-used signal processing method. If let {at :t=…,-1,0,1,…} denote one infinite series of real value variables, then Fourier transform can be defined as complex value function below:
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