A Denoising Method for Fiber Optic Gyroscope Based on Variational Mode Decomposition and Beetle Swarm Antenna Search Algorithm

Fiber optic gyroscope (FOG) is one of the important components of Inertial Navigation Systems (INS). In order to improve the accuracy of the INS, it is necessary to suppress the random error of the FOG signal. In this paper, a variational mode decomposition (VMD) denoising method based on beetle swa...

Full description

Bibliographic Details
Main Authors: Pengfei Wang, Yanbin Gao, Menghao Wu, Fan Zhang, Guangchun Li, Chao Qin
Format: Article
Language:English
Published: MDPI AG 2020-07-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/22/7/765
_version_ 1797562656394051584
author Pengfei Wang
Yanbin Gao
Menghao Wu
Fan Zhang
Guangchun Li
Chao Qin
author_facet Pengfei Wang
Yanbin Gao
Menghao Wu
Fan Zhang
Guangchun Li
Chao Qin
author_sort Pengfei Wang
collection DOAJ
description Fiber optic gyroscope (FOG) is one of the important components of Inertial Navigation Systems (INS). In order to improve the accuracy of the INS, it is necessary to suppress the random error of the FOG signal. In this paper, a variational mode decomposition (VMD) denoising method based on beetle swarm antenna search (BSAS) algorithm is proposed to reduce the noise in FOG signal. Firstly, the BSAS algorithm is introduced in detail. Then, the permutation entropy of the band-limited intrinsic mode functions (BLIMFs) is taken as the optimization index, and two key parameters of VMD algorithm, including decomposition mode number <i>K</i> and quadratic penalty factor <inline-formula> <math display="inline"> <semantics> <mi>α</mi> </semantics> </math> </inline-formula>, are optimized by using the BSAS algorithm. Next, a new method based on Hausdorff distance (HD) between the probability density function (PDF) of all BLIMFs and that of the original signal is proposed in this paper to determine the relevant modes. Finally, the selected BLIMF components are reconstructed to get the denoised signal. In addition, the simulation results show that the proposed scheme is better than the existing schemes in terms of noise reduction performance. Two experiments further demonstrate the priority of the proposed scheme in the FOG noise reduction compared with other schemes.
first_indexed 2024-03-10T18:31:03Z
format Article
id doaj.art-e95e22cc3d894e419a13a2f11c80f83a
institution Directory Open Access Journal
issn 1099-4300
language English
last_indexed 2024-03-10T18:31:03Z
publishDate 2020-07-01
publisher MDPI AG
record_format Article
series Entropy
spelling doaj.art-e95e22cc3d894e419a13a2f11c80f83a2023-11-20T06:37:30ZengMDPI AGEntropy1099-43002020-07-0122776510.3390/e22070765A Denoising Method for Fiber Optic Gyroscope Based on Variational Mode Decomposition and Beetle Swarm Antenna Search AlgorithmPengfei Wang0Yanbin Gao1Menghao Wu2Fan Zhang3Guangchun Li4Chao Qin5Collage of Automation, Harbin Engineering University, Harbin 150001, ChinaCollage of Automation, Harbin Engineering University, Harbin 150001, ChinaCollage of Automation, Harbin Engineering University, Harbin 150001, ChinaCollage of Automation, Harbin Engineering University, Harbin 150001, ChinaCollage of Automation, Harbin Engineering University, Harbin 150001, ChinaCollage of Automation, Harbin Engineering University, Harbin 150001, ChinaFiber optic gyroscope (FOG) is one of the important components of Inertial Navigation Systems (INS). In order to improve the accuracy of the INS, it is necessary to suppress the random error of the FOG signal. In this paper, a variational mode decomposition (VMD) denoising method based on beetle swarm antenna search (BSAS) algorithm is proposed to reduce the noise in FOG signal. Firstly, the BSAS algorithm is introduced in detail. Then, the permutation entropy of the band-limited intrinsic mode functions (BLIMFs) is taken as the optimization index, and two key parameters of VMD algorithm, including decomposition mode number <i>K</i> and quadratic penalty factor <inline-formula> <math display="inline"> <semantics> <mi>α</mi> </semantics> </math> </inline-formula>, are optimized by using the BSAS algorithm. Next, a new method based on Hausdorff distance (HD) between the probability density function (PDF) of all BLIMFs and that of the original signal is proposed in this paper to determine the relevant modes. Finally, the selected BLIMF components are reconstructed to get the denoised signal. In addition, the simulation results show that the proposed scheme is better than the existing schemes in terms of noise reduction performance. Two experiments further demonstrate the priority of the proposed scheme in the FOG noise reduction compared with other schemes.https://www.mdpi.com/1099-4300/22/7/765beetle swarm antenna search algorithmpermutation entropyvariational mode decompositionfiber optic gyroscopesignal denoising
spellingShingle Pengfei Wang
Yanbin Gao
Menghao Wu
Fan Zhang
Guangchun Li
Chao Qin
A Denoising Method for Fiber Optic Gyroscope Based on Variational Mode Decomposition and Beetle Swarm Antenna Search Algorithm
Entropy
beetle swarm antenna search algorithm
permutation entropy
variational mode decomposition
fiber optic gyroscope
signal denoising
title A Denoising Method for Fiber Optic Gyroscope Based on Variational Mode Decomposition and Beetle Swarm Antenna Search Algorithm
title_full A Denoising Method for Fiber Optic Gyroscope Based on Variational Mode Decomposition and Beetle Swarm Antenna Search Algorithm
title_fullStr A Denoising Method for Fiber Optic Gyroscope Based on Variational Mode Decomposition and Beetle Swarm Antenna Search Algorithm
title_full_unstemmed A Denoising Method for Fiber Optic Gyroscope Based on Variational Mode Decomposition and Beetle Swarm Antenna Search Algorithm
title_short A Denoising Method for Fiber Optic Gyroscope Based on Variational Mode Decomposition and Beetle Swarm Antenna Search Algorithm
title_sort denoising method for fiber optic gyroscope based on variational mode decomposition and beetle swarm antenna search algorithm
topic beetle swarm antenna search algorithm
permutation entropy
variational mode decomposition
fiber optic gyroscope
signal denoising
url https://www.mdpi.com/1099-4300/22/7/765
work_keys_str_mv AT pengfeiwang adenoisingmethodforfiberopticgyroscopebasedonvariationalmodedecompositionandbeetleswarmantennasearchalgorithm
AT yanbingao adenoisingmethodforfiberopticgyroscopebasedonvariationalmodedecompositionandbeetleswarmantennasearchalgorithm
AT menghaowu adenoisingmethodforfiberopticgyroscopebasedonvariationalmodedecompositionandbeetleswarmantennasearchalgorithm
AT fanzhang adenoisingmethodforfiberopticgyroscopebasedonvariationalmodedecompositionandbeetleswarmantennasearchalgorithm
AT guangchunli adenoisingmethodforfiberopticgyroscopebasedonvariationalmodedecompositionandbeetleswarmantennasearchalgorithm
AT chaoqin adenoisingmethodforfiberopticgyroscopebasedonvariationalmodedecompositionandbeetleswarmantennasearchalgorithm
AT pengfeiwang denoisingmethodforfiberopticgyroscopebasedonvariationalmodedecompositionandbeetleswarmantennasearchalgorithm
AT yanbingao denoisingmethodforfiberopticgyroscopebasedonvariationalmodedecompositionandbeetleswarmantennasearchalgorithm
AT menghaowu denoisingmethodforfiberopticgyroscopebasedonvariationalmodedecompositionandbeetleswarmantennasearchalgorithm
AT fanzhang denoisingmethodforfiberopticgyroscopebasedonvariationalmodedecompositionandbeetleswarmantennasearchalgorithm
AT guangchunli denoisingmethodforfiberopticgyroscopebasedonvariationalmodedecompositionandbeetleswarmantennasearchalgorithm
AT chaoqin denoisingmethodforfiberopticgyroscopebasedonvariationalmodedecompositionandbeetleswarmantennasearchalgorithm