Parameters estimation of a noisy sinusoidal signal with time-varying amplitude

In this paper, we give estimators of the frequency, amplitude and phase of a noisy sinusoidal signal with time-varying amplitude by using the algebraic parametric techniques introduced by Fliess and Sira-Ramírez. We apply a similar strategy to estimate these parameters by using modulating functions...

Full description

Saved in:
Bibliographic Details
Published in2011 19th Mediterranean Conference on Control and Automation pp. 570 - 575
Main Authors Liu, Da-yan, Gibaru, Olivier, Perruquetti, Wilfrid
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2011
Subjects
Estimation
Frequency estimation
Frequency modulation
Laplace equations
Linear systems
Noise
Noise measurement
Robustness
Stability analysis
Time-frequency analysis
Online AccessGet full text
ISBN9781457701245
1457701243
DOI10.1109/MED.2011.5983186

Cover

Abstract In this paper, we give estimators of the frequency, amplitude and phase of a noisy sinusoidal signal with time-varying amplitude by using the algebraic parametric techniques introduced by Fliess and Sira-Ramírez. We apply a similar strategy to estimate these parameters by using modulating functions method. The convergence of the noise error part due to a large class of noises is studied to show the robustness and the stability of these methods. We also show that the estimators obtained by modulating functions method are robust to "large" sampling period and to non zero-mean noises.
AbstractList In this paper, we give estimators of the frequency, amplitude and phase of a noisy sinusoidal signal with time-varying amplitude by using the algebraic parametric techniques introduced by Fliess and Sira-Ramírez. We apply a similar strategy to estimate these parameters by using modulating functions method. The convergence of the noise error part due to a large class of noises is studied to show the robustness and the stability of these methods. We also show that the estimators obtained by modulating functions method are robust to "large" sampling period and to non zero-mean noises.
Author Gibaru, Olivier
Perruquetti, Wilfrid
Liu, Da-yan
Author_xml – sequence: 1
  givenname: Da-yan
  surname: Liu
  fullname: Liu, Da-yan
  email: dayan.liu@inria.fr
  organization: Paul Painlevé (CNRS, UMR 8524), Université de Lille 1, 59650, Villeneuve d'Ascq, France
– sequence: 2
  givenname: Olivier
  surname: Gibaru
  fullname: Gibaru, Olivier
  email: olivier.gibaru@ensam.eu
  organization: Laboratory of Applied Mathematics and Metrology (L2MA), Arts et Metiers ParisTech, 8 Boulevard Louis XIV, 59046 Lille Cedex, France
– sequence: 3
  givenname: Wilfrid
  surname: Perruquetti
  fullname: Perruquetti, Wilfrid
  email: wilfrid.perruquetti@inria.fr
  organization: LAGIS (CNRS, UMR 8146), École Centrale de Lille, BP 48, Cité Scientifique, 59650 Villeneuve d'Ascq, France
BookMark eNpVUEtLxDAYjKigrr0LXvIHWvPl1eQo6_qA9XHY-5K2X9dImy5NVum_t-BenMvMwDAMc0XOwhCQkBtgBQCzd6-rh4IzgEJZI8DoE5LZ0oBUZcmAC3P6z0t1QbIYv9gMrS3j-pK8fbjR9ZhwjBRj8r1Lfgh0aKmjYfBxotGHQxx847pZ7sJMPz590jmK-bcbJx921PX7zqdDg9fkvHVdxOzIC7J5XG2Wz_n6_elleb_OvWUpN4JJMGUjGl7bhgshW6VlzSvNQWjOuLOsUkppjrXRuqpqDhIYhxIbzSonFuT2r9Yj4nY_zrPHaXs8QfwC5rVQ8Q
ContentType Conference Proceeding
DBID 6IE
6IL
CBEJK
RIE
RIL
DOI 10.1109/MED.2011.5983186
DatabaseName IEEE Electronic Library (IEL) Conference Proceedings
IEEE Xplore POP ALL
IEEE Xplore All Conference Proceedings
IEEE Electronic Library (IEL)
IEEE Proceedings Order Plans (POP All) 1998-Present
DatabaseTitleList
Database_xml – sequence: 1
  dbid: RIE
  name: IEEE Electronic Library (IEL)
  url: https://proxy.k.utb.cz/login?url=https://ieeexplore.ieee.org/
  sourceTypes: Publisher
DeliveryMethod fulltext_linktorsrc
EISBN 9781457701238
9781457701252
1457701235
1457701251
EndPage 575
ExternalDocumentID 5983186
Genre orig-research
GroupedDBID 6IE
6IF
6IK
6IL
6IN
AAJGR
AAWTH
ADFMO
ALMA_UNASSIGNED_HOLDINGS
BEFXN
BFFAM
BGNUA
BKEBE
BPEOZ
CBEJK
IEGSK
IERZE
OCL
RIE
RIL
ID FETCH-LOGICAL-i90t-8304187d3d2c9d2334f564c2b62136202a90b55562ec866bbc21410217ed60ba3
IEDL.DBID RIE
ISBN 9781457701245
1457701243
IngestDate Wed Sep 03 07:09:09 EDT 2025
IsPeerReviewed false
IsScholarly false
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-i90t-8304187d3d2c9d2334f564c2b62136202a90b55562ec866bbc21410217ed60ba3
PageCount 6
ParticipantIDs ieee_primary_5983186
PublicationCentury 2000
PublicationDate 2011-June
PublicationDateYYYYMMDD 2011-06-01
PublicationDate_xml – month: 06
  year: 2011
  text: 2011-June
PublicationDecade 2010
PublicationTitle 2011 19th Mediterranean Conference on Control and Automation
PublicationTitleAbbrev MED
PublicationYear 2011
Publisher IEEE
Publisher_xml – name: IEEE
SSID ssj0000669026
Score 1.6023853
Snippet In this paper, we give estimators of the frequency, amplitude and phase of a noisy sinusoidal signal with time-varying amplitude by using the algebraic...
SourceID ieee
SourceType Publisher
StartPage 570
SubjectTerms Estimation
Frequency estimation
Frequency modulation
Laplace equations
Linear systems
Noise
Noise measurement
Robustness
Stability analysis
Time-frequency analysis
Title Parameters estimation of a noisy sinusoidal signal with time-varying amplitude
URI https://ieeexplore.ieee.org/document/5983186
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV3PS8MwFA7bTp5UNvE3OXi0W5o0aXPWjSFs7DBht5FfhaK0srWC_vXmtV1F8eCpbQ6PkJfkNS_f9z2E7rhf_5S4MEhYYoJIKB1IkyaBZgoIu0K4umjfYinmz9HThm966L7jwjjnavCZG8NrfZdvC1NBqmzCZeKnoOijvp9mDVery6d4s9KfJ2ruFo9jv-9G7CDp1H7zwzUlkZPF9LHR72xt_iiuUseW2TFaHHrVQEpexlWpx-bzl2Djf7t9gkbfLD686uLTKeq5fIiWKwVwLNDUxCCw0TAXcZFihfMi23_gfZZX-yKz6hUDuMM_IFeLoQh98K52QIvCCnDooIo5QuvZdP0wD9qaCkEmSek9QqIwiS2z1EhLGYtSLiJDtaChD2WEKkk05_6nyJlECK0NBSCoP7c4K4hW7AwN8iJ35wjHVEjNbSKp4hFzUklpQ29SC-W9n5ILNISh2L41qhnbdhQu_26-QkdNthbyG9doUO4qd-PDfalvaz9_AYfxpXs
linkProvider IEEE
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV27TsMwFLVKGWAC1CLeeGAkreNX4hlaFWiqDkXqVvkVqQIlqE2Q4Ouxk7QIxMCUx3Bl-SY58fU55wJww9z7j5ENg5jEOqBcqkDoNA4UkV6wy7mtmvYlEz56po9zNm-B260Wxlpbkc9sz59We_km16UvlfWZiN0jyHfArsN9ymq11rai4gILt6Ko1FssityXl5KNqVNzzTYblUj0k8F97eDZRP3RXqVCl-EBSDbjqkklL72yUD39-cuy8b8DPwTdbx0fnG4R6gi0bNYBk6n0hCzvqgm9xUatXYR5CiXM8uX6A66XWbnOl0a-Qk_vcAdfrYW-DX3wLldeGAWlZ6J7X8wumA0Hs7tR0HRVCJYCFS4niIZxZIjBWhhMCE0ZpxorjkMHZghLgRRj7rfI6phzpTT2VFC3crGGIyXJMWhneWZPAIwwF4qZWGDJKLFCCmFCF1Jx6fKfolPQ8VOxeKt9MxbNLJz9ffsa7I1myXgxfpg8nYP9unbrqx0XoF2sSnvpwL9QV1XOvwBoVajI
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=proceeding&rft.title=2011+19th+Mediterranean+Conference+on+Control+and+Automation&rft.atitle=Parameters+estimation+of+a+noisy+sinusoidal+signal+with+time-varying+amplitude&rft.au=Liu%2C+Da-yan&rft.au=Gibaru%2C+Olivier&rft.au=Perruquetti%2C+Wilfrid&rft.date=2011-06-01&rft.pub=IEEE&rft.isbn=9781457701245&rft.spage=570&rft.epage=575&rft_id=info:doi/10.1109%2FMED.2011.5983186&rft.externalDocID=5983186
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=9781457701245/lc.gif&client=summon&freeimage=true
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=9781457701245/mc.gif&client=summon&freeimage=true
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=9781457701245/sc.gif&client=summon&freeimage=true