Nonstationary time series change direction forecast method using improved leading indicator

IF 0.5 4区 工程技术 Q4 ENGINEERING, ELECTRICAL & ELECTRONIC Electronics and Communications in Japan Pub Date : 2023-08-30 DOI:10.1002/ecj.12413
Hirokazu Yoshida
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Abstract

This paper presents a method for forecasting the change direction of nonstationary time series using the improved leading indicator. The leading indicator is a method developed by Ehlers that translates a time series mathematically in the future direction with respect to the time axis and calculates the leading value of the time series. However, this method has the problem that the leading value can be calculated only in the low frequency region with a normalized frequency of 0.06 or more (normalized period of 17 or more) at the maximum. In order to solve this problem, by the gentle slope the amplitude characteristics in the low frequency region of the leading indicator, it is possible to calculate the leading value in the frequency domain with a normalized frequency of 0.25 or more (normalized period of four or more) at the maximum. By applying the preceding value to the instantaneous periodic time series by the improved sine wave indicator developed by Ehlers, it is possible to forecast the change direction of the non-stationary time series in the short term.

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基于改进先行指标的非平稳时间序列变化方向预测方法
本文提出了一种利用改进的超前指标预测非平稳时间序列变化方向的方法。领先指标是Ehlers开发的一种方法,它将时间序列相对于时间轴的未来方向进行数学转换,并计算时间序列的领先值。但该方法存在一个问题,即只能在低频区域计算先导值,且最大归一化频率为0.06以上(归一化周期为17以上)。为了解决这一问题,利用领先指标在低频区的平缓坡度的幅值特性,可以计算出在频域的领先值,其归一化频率最大为0.25以上(归一化周期为4以上)。通过Ehlers提出的改进的正弦波指标,将上述值应用于瞬时周期时间序列,可以预测非平稳时间序列在短期内的变化方向。
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来源期刊
Electronics and Communications in Japan
Electronics and Communications in Japan 工程技术-工程:电子与电气
CiteScore
0.60
自引率
0.00%
发文量
45
审稿时长
6-12 weeks
期刊介绍: Electronics and Communications in Japan (ECJ) publishes papers translated from the Transactions of the Institute of Electrical Engineers of Japan 12 times per year as an official journal of the Institute of Electrical Engineers of Japan (IEEJ). ECJ aims to provide world-class researches in highly diverse and sophisticated areas of Electrical and Electronic Engineering as well as in related disciplines with emphasis on electronic circuits, controls and communications. ECJ focuses on the following fields: - Electronic theory and circuits, - Control theory, - Communications, - Cryptography, - Biomedical fields, - Surveillance, - Robotics, - Sensors and actuators, - Micromachines, - Image analysis and signal analysis, - New materials. For works related to the science, technology, and applications of electric power, please refer to the sister journal Electrical Engineering in Japan (EEJ).
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