A Unifying Framework for Finite Wordlength Realizations
A general framework for the analysis of the finite wordlength (FWL) effects of linear time-invariant digital filter implementations is proposed. By means of a special implicit system description, all realization forms can be described. An algebraic characterization of the equivalent classes is provi...
Saved in:
Published in: | IEEE transactions on circuits and systems. I, Regular papers Vol. 54; no. 8; pp. 1765 - 1774 |
---|---|
Main Authors: | , , |
Format: | Journal Article |
Language: | English |
Published: |
New York
IEEE
01-08-2007
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Subjects: | |
Online Access: | Get full text |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Abstract | A general framework for the analysis of the finite wordlength (FWL) effects of linear time-invariant digital filter implementations is proposed. By means of a special implicit system description, all realization forms can be described. An algebraic characterization of the equivalent classes is provided, which enables a search for realizations that minimize the FWL effects to be made. Two suitable FWL coefficient sensitivity measures are proposed for use within the framework, these being a transfer function sensitivity measure and a pole sensitivity measure. An illustrative example is presented. |
---|---|
AbstractList | A general framework for the analysis of the finite wordlength (FWL) effects of linear time-invariant digital filter implementations is proposed. By means of a special implicit system description, all realization forms can be described. An algebraic characterization of the equivalent classes is provided, which enables a search for realizations that minimize the FWL effects to be made. Two suitable FWL coefficient sensitivity measures are proposed for use within the framework, these being a transfer function sensitivity measure and a pole sensitivity measure. An illustrative example is presented. |
Author | Whidborne, J.F. Hilaire, T.. Chevrel, P.. |
Author_xml | – sequence: 1 givenname: T.. surname: Hilaire fullname: Hilaire, T.. organization: Inst. Nat. de Recherche en Inf. et en Autom., Lannion – sequence: 2 givenname: P.. surname: Chevrel fullname: Chevrel, P.. – sequence: 3 givenname: J.F. surname: Whidborne fullname: Whidborne, J.F. |
BookMark | eNp9z79Lw0AcBfBDKthWd8ElOOiU-r3v_R5LsVooCNriGNLkUq-md_WSIvWvN1InB6f3hg8P3oD0fPCWkEsKI0rB3C0mL7MRAqiRAeSgT0ifCqFT0CB7P52bVDPUZ2TQNBsANMBon6hxsvSuOji_TqYx39rPEN-TKsRk6rxrbfIaYllbv27fkmeb1-4rb13wzTk5rfK6sRe_OSTL6f1i8pjOnx5mk_E8LbiSbYoKoTIlUqpKWVImgFNToNTAipVSbFUJoxnlvLDAuEJkrKCskgzRCC0oG5Lb4-4uho-9bdps65rC1nXubdg3mTayG6dUdPLmX8k419oI2cHrP3AT9tF3LzItuZGaAXbo6oictTbbRbfN4yHjqBGUZN_D-2sT |
CODEN | ITCSCH |
CitedBy_id | crossref_primary_10_3182_20110828_6_IT_1002_01379 crossref_primary_10_1007_s11768_014_2131_5 crossref_primary_10_1109_TCSI_2008_920126 crossref_primary_10_3182_20080706_5_KR_1001_02574 crossref_primary_10_1109_TAC_2008_2009482 crossref_primary_10_1109_TSP_2008_919386 crossref_primary_10_1080_00207170903160747 crossref_primary_10_1109_TC_2019_2950658 crossref_primary_10_1007_s11768_010_8082_6 crossref_primary_10_1109_TCSII_2009_2022210 crossref_primary_10_1016_j_sigpro_2009_07_006 crossref_primary_10_1109_ACCESS_2020_3019055 crossref_primary_10_1155_2011_893760 crossref_primary_10_1109_JESTPE_2023_3313814 crossref_primary_10_1063_1_5001312 crossref_primary_10_1080_00207179_2010_540714 crossref_primary_10_1109_TCSII_2009_2034193 crossref_primary_10_1080_00207179_2012_654512 |
ContentType | Journal Article |
Copyright | Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2007 |
Copyright_xml | – notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2007 |
DBID | 97E RIA RIE 7SP 8FD L7M F28 FR3 |
DOI | 10.1109/TCSI.2007.902408 |
DatabaseName | IEEE All-Society Periodicals Package (ASPP) 2005-present IEEE All-Society Periodicals Package (ASPP) 1998-Present IEEE Electronic Library Online Electronics & Communications Abstracts Technology Research Database Advanced Technologies Database with Aerospace ANTE: Abstracts in New Technology & Engineering Engineering Research Database |
DatabaseTitle | Technology Research Database Advanced Technologies Database with Aerospace Electronics & Communications Abstracts Engineering Research Database ANTE: Abstracts in New Technology & Engineering |
DatabaseTitleList | Engineering Research Database Engineering Research Database |
Database_xml | – sequence: 1 dbid: RIE name: IEEE Electronic Library Online url: http://ieeexplore.ieee.org/Xplore/DynWel.jsp sourceTypes: Publisher |
DeliveryMethod | fulltext_linktorsrc |
Discipline | Engineering |
EISSN | 1558-0806 |
EndPage | 1774 |
ExternalDocumentID | 2338651201 4282076 |
Genre | orig-research |
GroupedDBID | 0R~ 29I 4.4 5VS 6IK 97E AAJGR AASAJ ABQJQ ABVLG ACIWK AETIX AIBXA AKJIK ALMA_UNASSIGNED_HOLDINGS ATWAV BEFXN BFFAM BGNUA BKEBE BPEOZ EBS EJD HZ~ H~9 IFIPE IPLJI JAVBF M43 O9- OCL PZZ RIA RIE RIG RNS VJK XFK 7SP 8FD L7M F28 FR3 |
ID | FETCH-LOGICAL-c476t-2720f9d2117d6d1350419c26803cb773bf5983144ce03472233c13f6322958513 |
IEDL.DBID | RIE |
ISSN | 1549-8328 |
IngestDate | Fri Aug 16 08:44:07 EDT 2024 Fri Aug 16 03:57:49 EDT 2024 Thu Oct 10 17:06:31 EDT 2024 Wed Jun 26 19:26:46 EDT 2024 |
IsDoiOpenAccess | false |
IsOpenAccess | true |
IsPeerReviewed | true |
IsScholarly | true |
Issue | 8 |
Language | English |
LinkModel | DirectLink |
MergedId | FETCHMERGED-LOGICAL-c476t-2720f9d2117d6d1350419c26803cb773bf5983144ce03472233c13f6322958513 |
Notes | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
OpenAccessLink | https://dspace.lib.cranfield.ac.uk/bitstream/1826/1836/1/A%20Unifying%20Framework%20for%20finite%20wordlength%20Realizations-2007.pdf |
PQID | 864968302 |
PQPubID | 23500 |
PageCount | 10 |
ParticipantIDs | proquest_journals_864968302 proquest_miscellaneous_34488956 proquest_miscellaneous_896211115 ieee_primary_4282076 |
PublicationCentury | 2000 |
PublicationDate | 2007-08-01 |
PublicationDateYYYYMMDD | 2007-08-01 |
PublicationDate_xml | – month: 08 year: 2007 text: 2007-08-01 day: 01 |
PublicationDecade | 2000 |
PublicationPlace | New York |
PublicationPlace_xml | – name: New York |
PublicationTitle | IEEE transactions on circuits and systems. I, Regular papers |
PublicationTitleAbbrev | TCSI |
PublicationYear | 2007 |
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) |
SSID | ssj0029031 |
Score | 2.0977783 |
Snippet | A general framework for the analysis of the finite wordlength (FWL) effects of linear time-invariant digital filter implementations is proposed. By means of a... |
SourceID | proquest ieee |
SourceType | Aggregation Database Publisher |
StartPage | 1765 |
SubjectTerms | Algebra Arithmetic Cause effect analysis Circuits Coefficient sensitivity Control systems Degradation digital filter implementation digital filter wordlength effects Digital filters Eigenvalues and eigenfunctions Equivalence finite wordlength (FWL) effects implicit systems Mathematical analysis optimal realization Performance analysis Poles Poles and zeros Searching Stability analysis Transfer functions |
Title | A Unifying Framework for Finite Wordlength Realizations |
URI | https://ieeexplore.ieee.org/document/4282076 https://www.proquest.com/docview/864968302 https://search.proquest.com/docview/34488956 https://search.proquest.com/docview/896211115 |
Volume | 54 |
hasFullText | 1 |
inHoldings | 1 |
isFullTextHit | |
isPrint | |
link | http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV07T8MwED7RTjDwKohQHh4YMU3sxI-xgkawMNAi2KI4dgRLimjz_znnUSEBA1ukREocn-zv8919H8CVRNaTJ6KkuDU5GquopIZpJCtWxNKVQouiMbGdy8dXdTfzMjnXm14Y51xTfOZu_GWTy7fLovZHZROEygx59wAGUqu2V2tDrnTIW23UWFOMUtWnJEM9WdzOH1qxQt0oenVGKj9W32ZLSff-9zH7sNtBRzJt5_oAtlx1CDvfBAVHIKcEQWTTukTSvuyKIC4l6bsHl-QFuab3Tlm_kSeEiH0T5hE8p7PF7T3trBFoEUuxpj57WmqL7E1aYSOehHGkCyZUyAsjJTdlohVHsuTtwLweJOdFxEvBvXs3gix-DMNqWbkTII55jXujhEGCyl2UM1aGxpokZ9KauAhg5AeffbTqF1k37gDG_d_LurBfZUrEWnhFsQAuN3cxXn0SIq_csl5lHPmgQlIWAPnjCaUF8wt5cvr7m8ew3R6w-iq8MxiuP2t3DoOVrS-akPgC5j6yww |
link.rule.ids | 315,782,786,798,27933,27934,54767 |
linkProvider | IEEE |
linkToHtml | http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV09T8MwED1BGYCBr4IIBeqBkdDETvwxVqVRK0oHWgRbFCeOYGkRbf4_53xUSMDAFimREscn-z3f3XsANwJZTxLy3MWtybiB9HNXU4VkJeOBMDlXPC1NbGdi-irvh1Ym53bTC2OMKYvPzJ29LHP52TIt7FFZD6EyRd69DTthILiourU29Ep5rFJHDZSLcSqbpKSnevPBbFzJFapS06u2Uvmx_pabSnT4v885goMaPJJ-NdvHsGUWJ7D_TVKwDaJPEEaWzUskagqvCCJTEr1beElekG1a95T1G3lCkNi0YZ7CczScD0ZubY7gpjj2tWvzp7nKkL-JjGc-C73AVynl0mOpFoLpPFSSIV2yhmBWEZKx1Gc5Z9a_G2EWO4PWYrkw50AMtSr3WnKNFJUZP6E093Smw4SKTAepA207-Pij0r-I63E70Gn-XlwH_iqWPFDcaoo50N3cxYi1aYhkYZbFKmbICCXSMgfIH09IxaldysOL39_chd3R_HEST8bThw7sVcettibvElrrz8JcwfYqK67L8PgCfpG2FA |
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=A+Unifying+Framework+for+Finite+Wordlength+Realizations&rft.jtitle=IEEE+transactions+on+circuits+and+systems.+I%2C+Regular+papers&rft.au=Hilaire%2C+T..&rft.au=Chevrel%2C+P..&rft.au=Whidborne%2C+J.F.&rft.date=2007-08-01&rft.pub=IEEE&rft.issn=1549-8328&rft.eissn=1558-0806&rft.volume=54&rft.issue=8&rft.spage=1765&rft.epage=1774&rft_id=info:doi/10.1109%2FTCSI.2007.902408&rft.externalDocID=4282076 |
thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1549-8328&client=summon |
thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1549-8328&client=summon |
thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1549-8328&client=summon |