The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
우리는 제로 패딩 방법에 대한 창 선택의 영향을 분석하고 이론적으로 높고 낮은 신호 대 잡음비(SNR) 모두에서 잡음의 고조파 신호를 사용하여 XNUMX차 보간 고속 푸리에 변환을 수정했습니다. 그런 다음 시뮬레이션을 사용하여 이론적 분석을 검증합니다. XNUMX가지 전통적인 윈도우 함수를 사용한 이론적 분석 및 시뮬레이션 결과는 SNR에 따라 최적의 윈도우가 결정된다는 것을 보여줍니다. 추정 오류는 낮은 SNR의 직사각형 창, 중간 SNR의 Hamming 및 Hanning 창, 높은 SNR의 Blackman 창에 대해 가장 작습니다. 또한 최적의 윈도우를 결정하는데 있어 기존 SNR보다 더 효과적인 것으로 보이는 신호 대 잡음 플로어 비율을 사용하여 시뮬레이션 결과를 분석합니다.
Hee-Suk PANG
Sejong University
Seokjin LEE
Kyungpook National University
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부
Hee-Suk PANG, Seokjin LEE, "On the Window Choice for Two DFT Magnitude-Based Frequency Estimation Methods" in IEICE TRANSACTIONS on Fundamentals,
vol. E105-A, no. 1, pp. 53-57, January 2022, doi: 10.1587/transfun.2021EAL2026.
Abstract: We analyze the effect of window choice on the zero-padding method and corrected quadratically interpolated fast Fourier transform using a harmonic signal in noise at both high and low signal-to-noise ratios (SNRs) on a theoretical basis. Then, we validate the theoretical analysis using simulations. The theoretical analysis and simulation results using four traditional window functions show that the optimal window is determined depending on the SNR; the estimation errors are the smallest for the rectangular window at low SNR, the Hamming and Hanning windows at mid SNR, and the Blackman window at high SNR. In addition, we analyze the simulation results using the signal-to-noise floor ratio, which appears to be more effective than the conventional SNR in determining the optimal window.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2021EAL2026/_p
부
@ARTICLE{e105-a_1_53,
author={Hee-Suk PANG, Seokjin LEE, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={On the Window Choice for Two DFT Magnitude-Based Frequency Estimation Methods},
year={2022},
volume={E105-A},
number={1},
pages={53-57},
abstract={We analyze the effect of window choice on the zero-padding method and corrected quadratically interpolated fast Fourier transform using a harmonic signal in noise at both high and low signal-to-noise ratios (SNRs) on a theoretical basis. Then, we validate the theoretical analysis using simulations. The theoretical analysis and simulation results using four traditional window functions show that the optimal window is determined depending on the SNR; the estimation errors are the smallest for the rectangular window at low SNR, the Hamming and Hanning windows at mid SNR, and the Blackman window at high SNR. In addition, we analyze the simulation results using the signal-to-noise floor ratio, which appears to be more effective than the conventional SNR in determining the optimal window.},
keywords={},
doi={10.1587/transfun.2021EAL2026},
ISSN={1745-1337},
month={January},}
부
TY - JOUR
TI - On the Window Choice for Two DFT Magnitude-Based Frequency Estimation Methods
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 53
EP - 57
AU - Hee-Suk PANG
AU - Seokjin LEE
PY - 2022
DO - 10.1587/transfun.2021EAL2026
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E105-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2022
AB - We analyze the effect of window choice on the zero-padding method and corrected quadratically interpolated fast Fourier transform using a harmonic signal in noise at both high and low signal-to-noise ratios (SNRs) on a theoretical basis. Then, we validate the theoretical analysis using simulations. The theoretical analysis and simulation results using four traditional window functions show that the optimal window is determined depending on the SNR; the estimation errors are the smallest for the rectangular window at low SNR, the Hamming and Hanning windows at mid SNR, and the Blackman window at high SNR. In addition, we analyze the simulation results using the signal-to-noise floor ratio, which appears to be more effective than the conventional SNR in determining the optimal window.
ER -