Spectrum analysis of moving average operator and construction of time-frequency hybrid sequence operator
Grey Systems: Theory and Application
ISSN: 2043-9377
Article publication date: 22 February 2021
Issue publication date: 3 January 2022
Abstract
Purpose
The purpose of this paper is to analyze the spectral characteristics of moving average operator and to propose a novel time-frequency hybrid sequence operator.
Design/methodology/approach
Firstly, the complex data is converted into frequency domain data by Fourier transform. An appropriate frequency domain operator is constructed to eliminate the impact of disturbance. Then, the inverse Fourier transform transforms the frequency domain data in which the disturbance is removed, into time domain data. Finally, an appropriate moving average operator of N items is selected based on spectral characteristics to eliminate the influence of periodic factors and noise.
Findings
Through the spectrum analysis of the real-time data sensed and recorded by microwave sensors, the spectral characteristics and the ranges of information, noise and shock disturbance factors in the data can be clarified.
Practical implications
The real-time data analysis results for a drug component monitoring show that the hybrid sequence operator has a good effect on suppressing disturbances, periodic factors and noise implied in the data.
Originality/value
Firstly, the spectral analysis of moving average operator and the novel time-frequency hybrid sequence operator were presented in this paper. For complex data, the ideal effect is difficult to achieve by applying the frequency domain operator or time domain operator alone. The more satisfactory results can be obtained by time-frequency hybrid sequence operator.
Keywords
Acknowledgements
This work was supported by the projects of the National Natural Science Foundation of China entitled “Reliability growth evaluation and prediction model of large aerospace (72071111)”, “Reverse multi variable CF-GERT model and its application for complex equipment development schedule under the background of multi project mixed batch (71801127)” and “Research on network of reliability growth of complex equipment under the background of collaborative development (71671091)”. It is also supported by a joint project of both the NSFC and the RS of the UK entitled “On grey dynamic scheduling model of complex product based on sensing information of Internet of things” (71811530338). At the same time, the authors would like to acknowledge the partial support of the Fundamental Research Funds for the Central Universities of China (NC2019003) and support of a project of Intelligence Introduction base of the Ministry of Science and Technology (G20190010178).
Citation
Lin, C., Liu, S., Fang, Z. and Yang, Y. (2022), "Spectrum analysis of moving average operator and construction of time-frequency hybrid sequence operator", Grey Systems: Theory and Application, Vol. 12 No. 1, pp. 101-116. https://doi.org/10.1108/GS-09-2020-0128
Publisher
:Emerald Publishing Limited
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