Fast Approximation of Sine and Cosine Hyperbolic Functions for the Calculation of the Transmission Matrix of a Multiconductor Transmission Line

A fast and stable algorithm for approximation of sine and cosine hyperbolic functions is presented in this paper. The algorithm can be used for S-parameter calculation from RLGC parameters. The idea is to construct the recurrent relation for the approximate solution of sine and cosine hyperbolic com...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:IEEE transactions on electromagnetic compatibility Ročník 57; číslo 6; s. 1698 - 1704
Hlavní autoři: Dikhaminjia, Nana, Rogava, Jemal, Tsiklauri, Mikheil, Zvonkin, Mikhail, Jun Fan, Drewniak, James L.
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York IEEE 01.12.2015
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:
ABCD parameters
Accuracy
Algorithms
Approximation
Approximation algorithms
Approximation methods
Convergence
Electromagnetic compatibility
Estimation
Geometry
Hyperbolic functions
Mathematical analysis
Mathematical models
MATLAB
RLGC parameters
Scattering parameters
sine and cosine hyperbolic functions
transmission lines
Trigonometric functions
scattering parameters
ABCD parameters
MATLAB
sine and cosine hyperbolic functions
transmission lines
RLGC parameters
ISSN:0018-9375, 1558-187X
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Abstract A fast and stable algorithm for approximation of sine and cosine hyperbolic functions is presented in this paper. The algorithm can be used for S-parameter calculation from RLGC parameters. The idea is to construct the recurrent relation for the approximate solution of sine and cosine hyperbolic complex value matrix functions. The stability of the proposed algorithm is shown and convergence theorem is proved. In the last section, different numerical simulations are made and compared with the already existing algorithm in terms of calculation time given.
AbstractList A fast and stable algorithm for approximation of sine and cosine hyperbolic functions is presented in this paper. The algorithm can be used for S-parameter calculation from RLGC parameters. The idea is to construct the recurrent relation for the approximate solution of sine and cosine hyperbolic complex value matrix functions. The stability of the proposed algorithm is shown and convergence theorem is proved. In the last section, different numerical simulations are made and compared with the already existing algorithm in terms of calculation time given.
Author Drewniak, James L.
Zvonkin, Mikhail
Dikhaminjia, Nana
Tsiklauri, Mikheil
Rogava, Jemal
Jun Fan
Author_xml – sequence: 1
  givenname: Nana
  surname: Dikhaminjia
  fullname: Dikhaminjia, Nana
  email: dikhaminjian@mst.edu
  organization: EMC Lab., Missouri Univ. of Sci. & Technol., Rolla, MO, USA
– sequence: 2
  givenname: Jemal
  surname: Rogava
  fullname: Rogava, Jemal
  email: jemal.rogava@tsu.ge
  organization: Dept. of Exact & Natural Sci., Tbilisi State Univ., Tbilisi, Georgia
– sequence: 3
  givenname: Mikheil
  surname: Tsiklauri
  fullname: Tsiklauri, Mikheil
  email: tsiklaurim@mst.edu
  organization: EMC Lab., Missouri Univ. of Sci. & Technol., Rolla, MO, USA
– sequence: 4
  givenname: Mikhail
  surname: Zvonkin
  fullname: Zvonkin, Mikhail
  email: mzvx8@mst.edu
  organization: EMC Lab., Missouri Univ. of Sci. & Technol., Rolla, MO, USA
– sequence: 5
  surname: Jun Fan
  fullname: Jun Fan
  email: jfan@mst.edu
  organization: EMC Lab., Missouri Univ. of Sci. & Technol., Rolla, MO, USA
– sequence: 6
  givenname: James L.
  surname: Drewniak
  fullname: Drewniak, James L.
  email: drewniak@mst.edu
  organization: EMC Lab., Missouri Univ. of Sci. & Technol., Rolla, MO, USA
BookMark eNp9kU9P5CAYh8lGkx11P8DGC4kXLx35Uwo9msZZTWbiwTHZW0Pp2yymwgg00U_hV17qGBM9eAJengde-B2hA-cdIPSbkiWlpL7YXm2aJSNULFkpCZXVD7SgQqiCKvn3AC0IoaqouRQ_0VGMD3lZCsYX6HWlY8KXu13wz_ZRJ-sd9gO-sw6wdj1ufJyn1y87CJ0frcGryZkZi3jwAad_gBs9mmn8cOfSNmgXH22Mc22jU7DP85bGm2lM1njXTyZl_RO3zjedoMNBjxF-vY_H6H51tW2ui_Xtn5vmcl0YzqpUgGCiFn1vuqrUphoY7TQpS1NJzpmpjBADQMW0ZB3rqNRMdVL0AEpRZUot-DE635-bH_40QUxt7sLAOGoHfootlTVnJSdKZfTsC_rgp-Byd5kShChRkypTck-Z4GMMMLTGprc_SUHbsaWknYNq56DaOaj2Pahs0i_mLuQowsu3zunesQDwwUvGBGWK_wd0yKKn
CODEN IEMCAE
CitedBy_id crossref_primary_10_1016_j_epsr_2021_107691
crossref_primary_10_1109_TSIPI_2023_3278613
crossref_primary_10_1093_jge_gxab051
crossref_primary_10_1080_09205071_2022_2043781
Cites_doi 10.1002/9780470682425
10.1109/22.275248
10.1007/BF03042010
10.1109/SSST.1990.138213
10.1002/9780470423899
10.1109/9780470547212
10.1109/61.53057
ContentType Journal Article
Copyright Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2015
Copyright_xml – notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2015
DBID 97E
RIA
RIE
AAYXX
CITATION
7SP
8FD
L7M
F28
FR3
DOI 10.1109/TEMC.2015.2470176
DatabaseName IEEE All-Society Periodicals Package (ASPP) 2005–Present
IEEE All-Society Periodicals Package (ASPP) 1998–Present
IEEE Electronic Library (IEL)
CrossRef
Electronics & Communications Abstracts
Technology Research Database
Advanced Technologies Database with Aerospace
ANTE: Abstracts in New Technology & Engineering
Engineering Research Database
DatabaseTitle CrossRef
Technology Research Database
Advanced Technologies Database with Aerospace
Electronics & Communications Abstracts
Engineering Research Database
ANTE: Abstracts in New Technology & Engineering
DatabaseTitleList Engineering Research Database
Technology Research Database
Database_xml – sequence: 1
  dbid: RIE
  name: IEEE Electronic Library (IEL)
  url: https://ieeexplore.ieee.org/
  sourceTypes: Publisher
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 1558-187X
EndPage 1704
ExternalDocumentID 3899047441
10_1109_TEMC_2015_2470176
7225128
Genre orig-research
GrantInformation_xml – fundername: National Science Foundation
  grantid: 0855878
  funderid: 10.13039/100000001
– fundername: Georgian National Science Foundation
  grantid: # DI/13/18
  funderid: 10.13039/501100004802
GroupedDBID -~X
.DC
0R~
29I
4.4
5GY
5VS
6IK
97E
AAJGR
AARMG
AASAJ
AAWTH
ABAZT
ABFSI
ABQJQ
ABVLG
ACGFO
ACIWK
ACNCT
AENEX
AETIX
AGQYO
AGSQL
AHBIQ
AI.
AIBXA
AKJIK
AKQYR
ALLEH
ALMA_UNASSIGNED_HOLDINGS
ASUFR
ATWAV
BEFXN
BFFAM
BGNUA
BKEBE
BPEOZ
CS3
DU5
E.L
EBS
EJD
HZ~
H~9
IAAWW
IBMZZ
ICLAB
IDIHD
IFIPE
IFJZH
IPLJI
JAVBF
LAI
M43
MS~
O9-
OCL
P2P
RIA
RIE
RNS
RXW
TAE
TAF
TN5
VH1
AAYXX
CITATION
7SP
8FD
L7M
RIG
F28
FR3
ID FETCH-LOGICAL-c326t-e52595ddcb64ac6f21ba044c67332c6c55fee62a72b2b17a28b75dee8818c4a53
IEDL.DBID RIE
ISICitedReferencesCount 5
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000367547100045&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0018-9375
IngestDate Thu Oct 02 06:03:14 EDT 2025
Sun Jun 29 14:03:57 EDT 2025
Sat Nov 29 02:05:33 EST 2025
Tue Nov 18 21:14:33 EST 2025
Tue Aug 26 16:50:02 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 6
Keywords scattering parameters
ABCD parameters
MATLAB
sine and cosine hyperbolic functions
transmission lines
RLGC parameters
Language English
License https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c326t-e52595ddcb64ac6f21ba044c67332c6c55fee62a72b2b17a28b75dee8818c4a53
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
content type line 23
ORCID 0000-0003-3866-4024
PQID 1750085906
PQPubID 85467
PageCount 7
ParticipantIDs proquest_journals_1750085906
crossref_primary_10_1109_TEMC_2015_2470176
proquest_miscellaneous_1793243088
crossref_citationtrail_10_1109_TEMC_2015_2470176
ieee_primary_7225128
PublicationCentury 2000
PublicationDate 2015-12-01
PublicationDateYYYYMMDD 2015-12-01
PublicationDate_xml – month: 12
  year: 2015
  text: 2015-12-01
  day: 01
PublicationDecade 2010
PublicationPlace New York
PublicationPlace_xml – name: New York
PublicationTitle IEEE transactions on electromagnetic compatibility
PublicationTitleAbbrev TEMC
PublicationYear 2015
Publisher IEEE
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher_xml – name: IEEE
– name: The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
References kennelly (ref8) 2001
ref9
ref4
ref3
ref6
ref5
ref2
ref1
(ref10) 0
nasar (ref7) 1991
References_xml – year: 1991
  ident: ref7
  publication-title: Essential Engineering Equations
– ident: ref9
  doi: 10.1002/9780470682425
– ident: ref3
  doi: 10.1109/22.275248
– ident: ref5
  doi: 10.1007/BF03042010
– ident: ref2
  doi: 10.1109/SSST.1990.138213
– year: 0
  ident: ref10
– ident: ref4
  doi: 10.1002/9780470423899
– ident: ref6
  doi: 10.1109/9780470547212
– ident: ref1
  doi: 10.1109/61.53057
– year: 2001
  ident: ref8
  publication-title: APPLICATION OF HYPERBOLIC FUNCTIONS TO ELECTRICAL ENGINEERING PROBLEMS
SSID ssj0014523
Score 2.1346447
Snippet A fast and stable algorithm for approximation of sine and cosine hyperbolic functions is presented in this paper. The algorithm can be used for S-parameter...
A fast and stable algorithm for approximation of sine and cosine hyperbolic functions is presented in this paper. The algorithm can be used for S -parameter...
SourceID proquest
crossref
ieee
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 1698
SubjectTerms ABCD parameters
Accuracy
Algorithms
Approximation
Approximation algorithms
Approximation methods
Convergence
Electromagnetic compatibility
Estimation
Geometry
Hyperbolic functions
Mathematical analysis
Mathematical models
MATLAB
RLGC parameters
Scattering parameters
sine and cosine hyperbolic functions
transmission lines
Trigonometric functions
Title Fast Approximation of Sine and Cosine Hyperbolic Functions for the Calculation of the Transmission Matrix of a Multiconductor Transmission Line
URI https://ieeexplore.ieee.org/document/7225128
https://www.proquest.com/docview/1750085906
https://www.proquest.com/docview/1793243088
Volume 57
WOSCitedRecordID wos000367547100045&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVIEE
  databaseName: IEEE Electronic Library (IEL)
  customDbUrl:
  eissn: 1558-187X
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0014523
  issn: 0018-9375
  databaseCode: RIE
  dateStart: 19640101
  isFulltext: true
  titleUrlDefault: https://ieeexplore.ieee.org/
  providerName: IEEE
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1JS-VAEC5UPOjBZVTmudHCnAajSaeX5CgPH14UQQe8hU6lA4Ik8pbBf-FftqoTg-IgzC2kq5OQr7qrqmsD-FWpvM7K2kUk3dJIZb6OssrKqEzRcPk9ZQyGZhP25iZ7eMhvl-B0yIXx3ofgM3_Gl8GXX7W44KOycytZGmfLsGyt7XK1Bo-B0rLzJie0gFOrew9mEufn95fXYw7i0mdSWeJA80kGhaYqX3biIF4mm__3YVuw0auR4qLDfRuWfPMD1j8UF9yB14mbzcUF1wx_eewSFEVbizuiEK6pxLjlkHdxRYbotOTqwGJCMi6woSBNVpBmKMbuCfv-XjyXbwXhRszBp2zimgv8v_CQEyGVl6xrLiBL0z_RkcXrd-HP5PJ-fBX17RciJJ1uHnlNppGuKiyNcmhqmZQuVgoNQSjRoNa190Y6K0tZJtbJrLS68j4jHQCV0-kerDRt43-CsLRVaKetSyyqRKFTtO5l7HRmMfGYjCB-B6TAvjY5t8h4KoKNEucFY1gwhkWP4Qh-D1Oeu8Ic3xHvMGgDYY_XCA7fUS_6pTsrSJ9iPTSPadbJMEz_iz0prvHtgmlI7VUp7dD7_37yAazx-7u4l0NYmU8X_ghW8e_8cTY9Dpz7Blgv7MY
linkProvider IEEE
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3da9RAEB9qFdQHv1rxtOoKPolps5v9SB7L0ePE3iF4Qt_CZrKBQknkPqT_hf-yM5s0WBTBt5CdDUt-szszO18A72tdNHnV-ISkW5boPDRJXjuVVBlaLr-nrcXYbMItl_nFRfFlDz6OuTAhhBh8Fo75Mfry6w53fFV24hRL4_wO3DVaK9lna40-A21U70-WtIUzZwYfpkyLk9XZYsphXOZYaUc8aG9JodhW5Y-zOAqY2eP_W9oTeDQokuK0R_4p7IX2GTz8rbzgAfyc-c1WnHLV8OvLPkVRdI34ShTCt7WYdhz0LuZkiq4rrg8sZiTlIiMK0mUF6YZi6q9w6PDFc_lVFG_EHnzPJhZc4v-ah7yIybxkX3MJWZp-i45s3nAI32Znq-k8GRowJEha3TYJhowjU9dYWe3RNkpWPtUaLYGo0KIxTQhWeacqVUnnVV45U4eQkxaA2pvsOey3XRtegHB0WBhvnJcOtdToNe18lXqTO5QB5QTSG0BKHKqTc5OMqzJaKWlRMoYlY1gOGE7gwzjle1-a41_EBwzaSDjgNYGjG9TLYfNuStKoWBMtUpr1bhym_8W-FN-Gbsc0pPjqjM7ol3__8lu4P18tzsvzT8vPr-ABr6WPgjmC_e16F17DPfyxvdys30Qu_gXJ1_AN
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%3Ajournal&rft.genre=article&rft.atitle=Fast+Approximation+of+Sine+and+Cosine+Hyperbolic+Functions+for+the+Calculation+of+the+Transmission+Matrix+of+a+Multiconductor+Transmission+Line&rft.jtitle=IEEE+transactions+on+electromagnetic+compatibility&rft.au=Dikhaminjia%2C+Nana&rft.au=Rogava%2C+Jemal&rft.au=Tsiklauri%2C+Mikheil&rft.au=Zvonkin%2C+Mikhail&rft.date=2015-12-01&rft.issn=0018-9375&rft.eissn=1558-187X&rft.volume=57&rft.issue=6&rft.spage=1698&rft.epage=1704&rft_id=info:doi/10.1109%2FTEMC.2015.2470176&rft.externalDBID=NO_FULL_TEXT
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0018-9375&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0018-9375&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0018-9375&client=summon