On the Window Choice for Two DFT Magnitude-Based Frequency Estimation Methods

Hee-Suk PANG; Seokjin LEE

doi:10.1587/transfun.2021EAL2026

On the Window Choice for Two DFT Magnitude-Based Frequency Estimation Methods

Hee-Suk PANG, Seokjin LEE

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Summary :

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.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E105-A No.1 pp.53-57

Publication Date: 2022/01/01

Publicized: 2021/07/19

Online ISSN: 1745-1337

DOI: 10.1587/transfun.2021EAL2026

Type of Manuscript: LETTER

Category: Digital Signal Processing

Authors

Hee-Suk PANG
Sejong University
Seokjin LEE
Kyungpook National University

Keyword

window choice, harmonic signal, signal-to-noise ratio, window function, signal-to-noise floor ratio

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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

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@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},}

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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 -