An effective harmonic parameters estimation algorithm based on transformed FFT sequence

Xuming Wang; Kejun Lei; Xi Yang; Xiangming Wang

doi:10.1145/3386415.3387010

An effective harmonic parameters estimation algorithm based on transformed FFT sequence

Xuming Wang
, Kejun Lei^*
, Xi Yang
, Xiangming Wang

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Abstract

In the practical harmonic analysis, the classical windowed interpolation methods usually have low estimation accuracy and high implementation complexity. Based on the analysis of attenuation characteristics of the fast Fourier transform (FFT) sequence, a novel harmonic analysis method with high precision by using a simple transformation is introduced. Our algorithm performs a simple transformation on the original FFT sequence, which reduces the interference among different spectral lines, and thus effectively suppresses the spectrum leakage. Based on this, the estimation formulas for the amplitude and phase are derived. The simulation results show that the proposed algorithm can effectively improve the accuracy of parameter estimation. In addition, compared with the classical windowed interpolation methods, the new method has lower computation complexity.

Original language	English
Title of host publication	Proceedings of the 2nd International Conference on Information Technologies and Electrical Engineering, ICITEE 2019
Publisher	Association for Computing Machinery
ISBN (Electronic)	9781450372930
DOIs	https://doi.org/10.1145/3386415.3387010
State	Published - 6 Dec 2019
Externally published	Yes
Event	2nd International Conference on Information Technologies and Electrical Engineering, ICITEE 2019 - Zhuzhou, China Duration: 6 Dec 2019 → 7 Dec 2019

Publication series

Name	ACM International Conference Proceeding Series

Conference

Conference	2nd International Conference on Information Technologies and Electrical Engineering, ICITEE 2019
Country/Territory	China
City	Zhuzhou
Period	6/12/19 → 7/12/19

Keywords

Amplitude estimation
High-precision harmonic analysis
Phase estimation
Sequence transformation
Spectrum leakage

Access to Document

10.1145/3386415.3387010

Cite this

Wang, X., Lei, K., Yang, X., & Wang, X. (2019). An effective harmonic parameters estimation algorithm based on transformed FFT sequence. In Proceedings of the 2nd International Conference on Information Technologies and Electrical Engineering, ICITEE 2019 (ACM International Conference Proceeding Series). Association for Computing Machinery. https://doi.org/10.1145/3386415.3387010

@inproceedings{46639b9e01d84f8188c6bb7474fa6599,

title = "An effective harmonic parameters estimation algorithm based on transformed FFT sequence",

abstract = "In the practical harmonic analysis, the classical windowed interpolation methods usually have low estimation accuracy and high implementation complexity. Based on the analysis of attenuation characteristics of the fast Fourier transform (FFT) sequence, a novel harmonic analysis method with high precision by using a simple transformation is introduced. Our algorithm performs a simple transformation on the original FFT sequence, which reduces the interference among different spectral lines, and thus effectively suppresses the spectrum leakage. Based on this, the estimation formulas for the amplitude and phase are derived. The simulation results show that the proposed algorithm can effectively improve the accuracy of parameter estimation. In addition, compared with the classical windowed interpolation methods, the new method has lower computation complexity.",

keywords = "Amplitude estimation, High-precision harmonic analysis, Phase estimation, Sequence transformation, Spectrum leakage",

author = "Xuming Wang and Kejun Lei and Xi Yang and Xiangming Wang",

note = "Publisher Copyright: {\textcopyright} 2019 ACM.; 2nd International Conference on Information Technologies and Electrical Engineering, ICITEE 2019 ; Conference date: 06-12-2019 Through 07-12-2019",

year = "2019",

month = dec,

day = "6",

doi = "10.1145/3386415.3387010",

language = "英语",

series = "ACM International Conference Proceeding Series",

publisher = "Association for Computing Machinery",

booktitle = "Proceedings of the 2nd International Conference on Information Technologies and Electrical Engineering, ICITEE 2019",

address = "美国",

}

Wang, X, Lei, K, Yang, X & Wang, X 2019, An effective harmonic parameters estimation algorithm based on transformed FFT sequence. in Proceedings of the 2nd International Conference on Information Technologies and Electrical Engineering, ICITEE 2019. ACM International Conference Proceeding Series, Association for Computing Machinery, 2nd International Conference on Information Technologies and Electrical Engineering, ICITEE 2019, Zhuzhou, China, 6/12/19. https://doi.org/10.1145/3386415.3387010

An effective harmonic parameters estimation algorithm based on transformed FFT sequence. / Wang, Xuming; Lei, Kejun; Yang, Xi et al.
Proceedings of the 2nd International Conference on Information Technologies and Electrical Engineering, ICITEE 2019. Association for Computing Machinery, 2019. (ACM International Conference Proceeding Series).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - An effective harmonic parameters estimation algorithm based on transformed FFT sequence

AU - Wang, Xuming

AU - Lei, Kejun

AU - Yang, Xi

AU - Wang, Xiangming

PY - 2019/12/6

Y1 - 2019/12/6

N2 - In the practical harmonic analysis, the classical windowed interpolation methods usually have low estimation accuracy and high implementation complexity. Based on the analysis of attenuation characteristics of the fast Fourier transform (FFT) sequence, a novel harmonic analysis method with high precision by using a simple transformation is introduced. Our algorithm performs a simple transformation on the original FFT sequence, which reduces the interference among different spectral lines, and thus effectively suppresses the spectrum leakage. Based on this, the estimation formulas for the amplitude and phase are derived. The simulation results show that the proposed algorithm can effectively improve the accuracy of parameter estimation. In addition, compared with the classical windowed interpolation methods, the new method has lower computation complexity.

AB - In the practical harmonic analysis, the classical windowed interpolation methods usually have low estimation accuracy and high implementation complexity. Based on the analysis of attenuation characteristics of the fast Fourier transform (FFT) sequence, a novel harmonic analysis method with high precision by using a simple transformation is introduced. Our algorithm performs a simple transformation on the original FFT sequence, which reduces the interference among different spectral lines, and thus effectively suppresses the spectrum leakage. Based on this, the estimation formulas for the amplitude and phase are derived. The simulation results show that the proposed algorithm can effectively improve the accuracy of parameter estimation. In addition, compared with the classical windowed interpolation methods, the new method has lower computation complexity.

KW - Amplitude estimation

KW - High-precision harmonic analysis

KW - Phase estimation

KW - Sequence transformation

KW - Spectrum leakage

UR - https://www.scopus.com/pages/publications/85123040388

U2 - 10.1145/3386415.3387010

DO - 10.1145/3386415.3387010

M3 - 会议稿件

AN - SCOPUS:85123040388

T3 - ACM International Conference Proceeding Series

BT - Proceedings of the 2nd International Conference on Information Technologies and Electrical Engineering, ICITEE 2019

PB - Association for Computing Machinery

T2 - 2nd International Conference on Information Technologies and Electrical Engineering, ICITEE 2019

Y2 - 6 December 2019 through 7 December 2019

ER -

An effective harmonic parameters estimation algorithm based on transformed FFT sequence

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