Non-Distorted Optimization Spectrum Analysis

The discrete Fourier transform is extensively applied in spectrum analysis. However, the sampled signal is random, and the discrete Fourier transform has its own specific limitations. Thus, errors will inevitably occur in time–frequency transformation work. The most common are the leakage...

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Main Authors: Rong-Ching Wu, Li-Ju Huang
Format: Article
Language:English
Published: MDPI AG 2018-07-01
Series:Energies
Subjects:
Online Access:http://www.mdpi.com/1996-1073/11/7/1841
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author Rong-Ching Wu
Li-Ju Huang
author_facet Rong-Ching Wu
Li-Ju Huang
author_sort Rong-Ching Wu
collection DOAJ
description The discrete Fourier transform is extensively applied in spectrum analysis. However, the sampled signal is random, and the discrete Fourier transform has its own specific limitations. Thus, errors will inevitably occur in time–frequency transformation work. The most common are the leakage effects of the spectrum that are caused from the scale of the spectrum not being able to match the characteristics of the signal. The optimal spectrum is proposed to overcome this defect by adjusting the frequency scale to fit signal characteristics. This includes three stages whereby frequency scale can match signal characteristics. Firstly, the signal parameters must be found. Secondly, the frequency scale can be determined from these signal parameters. Finally, the optimal spectrum can be realized using the adjustable spectrum with the new frequency scale. After processing the optimal spectrum, the leakage effects of the signal will be decreased to a minimum. This method preserves signal characteristics in the optimization process, which reaches the ideal of non-distortion.
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spelling doaj.art-61dd684efa6b4f4682d500247647a9db2022-12-22T04:20:06ZengMDPI AGEnergies1996-10732018-07-01117184110.3390/en11071841en11071841Non-Distorted Optimization Spectrum AnalysisRong-Ching Wu0Li-Ju Huang1Department of Electrical Engineering, I-Shou University, Kaohsiung 840, TaiwanCenter of Teaching and Research, Kaohsiung Municipal Ta-Tung Hospital, Kaohsiung Medical University Hospital, Kaohsiung Medical University, Kaohsiung 807, TaiwanThe discrete Fourier transform is extensively applied in spectrum analysis. However, the sampled signal is random, and the discrete Fourier transform has its own specific limitations. Thus, errors will inevitably occur in time–frequency transformation work. The most common are the leakage effects of the spectrum that are caused from the scale of the spectrum not being able to match the characteristics of the signal. The optimal spectrum is proposed to overcome this defect by adjusting the frequency scale to fit signal characteristics. This includes three stages whereby frequency scale can match signal characteristics. Firstly, the signal parameters must be found. Secondly, the frequency scale can be determined from these signal parameters. Finally, the optimal spectrum can be realized using the adjustable spectrum with the new frequency scale. After processing the optimal spectrum, the leakage effects of the signal will be decreased to a minimum. This method preserves signal characteristics in the optimization process, which reaches the ideal of non-distortion.http://www.mdpi.com/1996-1073/11/7/1841discrete Fourier transformleakage effectoptimization
spellingShingle Rong-Ching Wu
Li-Ju Huang
Non-Distorted Optimization Spectrum Analysis
Energies
discrete Fourier transform
leakage effect
optimization
title Non-Distorted Optimization Spectrum Analysis
title_full Non-Distorted Optimization Spectrum Analysis
title_fullStr Non-Distorted Optimization Spectrum Analysis
title_full_unstemmed Non-Distorted Optimization Spectrum Analysis
title_short Non-Distorted Optimization Spectrum Analysis
title_sort non distorted optimization spectrum analysis
topic discrete Fourier transform
leakage effect
optimization
url http://www.mdpi.com/1996-1073/11/7/1841
work_keys_str_mv AT rongchingwu nondistortedoptimizationspectrumanalysis
AT lijuhuang nondistortedoptimizationspectrumanalysis