Phased Fractional Low-Order Moment-Based Doppler Shift Estimation in the Presence of Interference Signals and Impulsive Noise

Doppler shift estimation continues to be a critical challenge of utmost significance in both theoretical research and practical engineering applications. Many innovators have crafted solutions specific to this issue, with notable contributions across various signals and scenarios. Given that cyclost...

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Main Authors: Bo Ni, Mengjia Wang, Jiacheng Zhang, Ying Zhang, Tao Liu
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Fractal and Fractional
Subjects:
Online Access:https://www.mdpi.com/2504-3110/9/1/54
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author Bo Ni
Mengjia Wang
Jiacheng Zhang
Ying Zhang
Tao Liu
author_facet Bo Ni
Mengjia Wang
Jiacheng Zhang
Ying Zhang
Tao Liu
author_sort Bo Ni
collection DOAJ
description Doppler shift estimation continues to be a critical challenge of utmost significance in both theoretical research and practical engineering applications. Many innovators have crafted solutions specific to this issue, with notable contributions across various signals and scenarios. Given that cyclostationary signals are prevalent in both artificial and natural phenomena, we propose a novel framework based on the phased fractional lower-order moment (PFLOM) for estimating Doppler shift in mixed cyclostationary signals. During the estimation process, a more realistic impulse noise model is examined in contrast to the ideal Gaussian noise typically assumed in conventional methods. This approach is meticulously derived through a series of detailed steps in line with cyclostationary signal processing and PFLOM principles. Furthermore, an extensive simulation has been conducted to validate the efficacy and robustness of our proposed method. It is anticipated that the concept and method presented here could be applied more broadly due to its solid theoretical underpinnings.
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issn 2504-3110
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publishDate 2025-01-01
publisher MDPI AG
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series Fractal and Fractional
spelling doaj-art-adc259fc3e7f4332a4630e20701f83832025-01-24T13:33:30ZengMDPI AGFractal and Fractional2504-31102025-01-01915410.3390/fractalfract9010054Phased Fractional Low-Order Moment-Based Doppler Shift Estimation in the Presence of Interference Signals and Impulsive NoiseBo Ni0Mengjia Wang1Jiacheng Zhang2Ying Zhang3Tao Liu4School of Electronics and Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, ChinaSchool of Electronics and Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, ChinaKey Laboratory of Pattern Recognition and Intelligent Information Processing, Institutions of Higher Education of Sichuan Province, Chengdu University, Chengdu 610106, ChinaDepartment of Medical Physics and Biomedical Engineering, University of London College, London WC1E 6BT, UKKey Laboratory of Pattern Recognition and Intelligent Information Processing, Institutions of Higher Education of Sichuan Province, Chengdu University, Chengdu 610106, ChinaDoppler shift estimation continues to be a critical challenge of utmost significance in both theoretical research and practical engineering applications. Many innovators have crafted solutions specific to this issue, with notable contributions across various signals and scenarios. Given that cyclostationary signals are prevalent in both artificial and natural phenomena, we propose a novel framework based on the phased fractional lower-order moment (PFLOM) for estimating Doppler shift in mixed cyclostationary signals. During the estimation process, a more realistic impulse noise model is examined in contrast to the ideal Gaussian noise typically assumed in conventional methods. This approach is meticulously derived through a series of detailed steps in line with cyclostationary signal processing and PFLOM principles. Furthermore, an extensive simulation has been conducted to validate the efficacy and robustness of our proposed method. It is anticipated that the concept and method presented here could be applied more broadly due to its solid theoretical underpinnings.https://www.mdpi.com/2504-3110/9/1/54alpha-stable distributionDoppler shiftimpulsive noise
spellingShingle Bo Ni
Mengjia Wang
Jiacheng Zhang
Ying Zhang
Tao Liu
Phased Fractional Low-Order Moment-Based Doppler Shift Estimation in the Presence of Interference Signals and Impulsive Noise
Fractal and Fractional
alpha-stable distribution
Doppler shift
impulsive noise
title Phased Fractional Low-Order Moment-Based Doppler Shift Estimation in the Presence of Interference Signals and Impulsive Noise
title_full Phased Fractional Low-Order Moment-Based Doppler Shift Estimation in the Presence of Interference Signals and Impulsive Noise
title_fullStr Phased Fractional Low-Order Moment-Based Doppler Shift Estimation in the Presence of Interference Signals and Impulsive Noise
title_full_unstemmed Phased Fractional Low-Order Moment-Based Doppler Shift Estimation in the Presence of Interference Signals and Impulsive Noise
title_short Phased Fractional Low-Order Moment-Based Doppler Shift Estimation in the Presence of Interference Signals and Impulsive Noise
title_sort phased fractional low order moment based doppler shift estimation in the presence of interference signals and impulsive noise
topic alpha-stable distribution
Doppler shift
impulsive noise
url https://www.mdpi.com/2504-3110/9/1/54
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