Analog Solutions of Systems of Linear Equations on a Configurable Platform
Even though analog computation is better suited for differential equation solutions (ODE, PDE), sometimes it needs to solve systems of linear equations. This discussion focuses on analog solutions of linear equation systems, implemented on a configurable platform. Digital systems rely on solving lin...
Uloženo v:
| Vydáno v: | IEEE International Symposium on Circuits and Systems proceedings s. 1 - 5 |
|---|---|
| Hlavní autoři: | , |
| Médium: | Konferenční příspěvek |
| Jazyk: | angličtina |
| Vydáno: |
IEEE
01.10.2020
|
| Témata: | |
| ISBN: | 9781728133201, 1728133203 |
| ISSN: | 2158-1525 |
| On-line přístup: | Získat plný text |
| Tagy: |
Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
|
| Abstract | Even though analog computation is better suited for differential equation solutions (ODE, PDE), sometimes it needs to solve systems of linear equations. This discussion focuses on analog solutions of linear equation systems, implemented on a configurable platform. Digital systems rely on solving linear equations as the fundamental numerical computation. Systems of linear equations are used to solve static circuits illustrating that at least a reduced class of analog physical linear system computation should be possible. The analog approaches utilize iterative techniques, setting up a set of ODEs to solve the system of linear equations, rather than relying on matrix decompositions (e.g. LU decomposition). The approach allows for multiple potential configurable circuit approaches. A set of amplifier networks has been designed to demonstrate the solutions for different matrices. These techniques provide energy-efficient continuous-time solutions. The resulting algorithm has been studied considering the analog numerical analysis for the solution and convergence time. |
|---|---|
| AbstractList | Even though analog computation is better suited for differential equation solutions (ODE, PDE), sometimes it needs to solve systems of linear equations. This discussion focuses on analog solutions of linear equation systems, implemented on a configurable platform. Digital systems rely on solving linear equations as the fundamental numerical computation. Systems of linear equations are used to solve static circuits illustrating that at least a reduced class of analog physical linear system computation should be possible. The analog approaches utilize iterative techniques, setting up a set of ODEs to solve the system of linear equations, rather than relying on matrix decompositions (e.g. LU decomposition). The approach allows for multiple potential configurable circuit approaches. A set of amplifier networks has been designed to demonstrate the solutions for different matrices. These techniques provide energy-efficient continuous-time solutions. The resulting algorithm has been studied considering the analog numerical analysis for the solution and convergence time. |
| Author | Hasler, Jennifer Natarajan, Aishwarya |
| Author_xml | – sequence: 1 givenname: Aishwarya surname: Natarajan fullname: Natarajan, Aishwarya organization: Georgia Institute of Technology – sequence: 2 givenname: Jennifer surname: Hasler fullname: Hasler, Jennifer organization: Georgia Institute of Technology |
| BookMark | eNotj11LwzAYhQNOcM79Ai_MH-jM-6ZpkstSppsUFKrXI2mTEegS7cfF_r1Dd3UOHHgOzz1ZxBQdIU_ANgBMP--bqmxyITlskCHbaFCsyMUNWWupQKICzpHBgiwRhMpAoLgj63EMluW5QsbzYkneymj6dKRN6ucppDjS5GlzHid3-qt1iM4MdPszm-scqaFVij4c58HY3tGP3kw-DacHcutNP7r1NVfk62X7We2y-v11X5V1Fi6fUwZWaik1Wq8BvQHETjsvGDjRdlqyjiHvbGFZ23Wce4NWuFYr5UxuzUWCr8jjPzc45w7fQziZ4Xy42vNfcuRRPA |
| ContentType | Conference Proceeding |
| DBID | 6IE 6IH CBEJK RIE RIO |
| DOI | 10.1109/ISCAS45731.2020.9180645 |
| DatabaseName | IEEE Electronic Library (IEL) Conference Proceedings IEEE Proceedings Order Plan (POP) 1998-present by volume IEEE Xplore All Conference Proceedings IEEE Electronic Library (IEL) IEEE Proceedings Order Plans (POP) 1998-present |
| DatabaseTitleList | |
| Database_xml | – sequence: 1 dbid: RIE name: IEEE Electronic Library (IEL) url: https://ieeexplore.ieee.org/ sourceTypes: Publisher |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EndPage | 5 |
| ExternalDocumentID | 9180645 |
| Genre | orig-research |
| GroupedDBID | -~X 29I 6IE 6IF 6IH 6IK 6IL 6IM 6IN AAJGR AAWTH ABLEC ACGFS ADZIZ AI. ALMA_UNASSIGNED_HOLDINGS BEFXN BFFAM BGNUA BKEBE BPEOZ CBEJK CHZPO IEGSK IJVOP IPLJI M43 OCL RIE RIL RIO VH1 |
| ID | FETCH-LOGICAL-i203t-1b797792bf912fa122d9ef501e5cd970d023db6b0cdd33fa2b5ec988ea4ba1523 |
| IEDL.DBID | RIE |
| ISBN | 9781728133201 1728133203 |
| ISICitedReferencesCount | 0 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000696570700258&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 2158-1525 |
| IngestDate | Wed Aug 27 02:26:48 EDT 2025 |
| IsPeerReviewed | false |
| IsScholarly | true |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-i203t-1b797792bf912fa122d9ef501e5cd970d023db6b0cdd33fa2b5ec988ea4ba1523 |
| PageCount | 5 |
| ParticipantIDs | ieee_primary_9180645 |
| PublicationCentury | 2000 |
| PublicationDate | 2020-Oct |
| PublicationDateYYYYMMDD | 2020-10-01 |
| PublicationDate_xml | – month: 10 year: 2020 text: 2020-Oct |
| PublicationDecade | 2020 |
| PublicationTitle | IEEE International Symposium on Circuits and Systems proceedings |
| PublicationTitleAbbrev | ISCAS |
| PublicationYear | 2020 |
| Publisher | IEEE |
| Publisher_xml | – name: IEEE |
| SSID | ssib044820346 ssj0020062 |
| Score | 2.119818 |
| Snippet | Even though analog computation is better suited for differential equation solutions (ODE, PDE), sometimes it needs to solve systems of linear equations. This... |
| SourceID | ieee |
| SourceType | Publisher |
| StartPage | 1 |
| SubjectTerms | Analog solutions of linear equations Convergence Eigenvalues and eigenfunctions Field programmable analog arrays Linear systems Mathematical model Matrix decomposition Steady-state |
| Title | Analog Solutions of Systems of Linear Equations on a Configurable Platform |
| URI | https://ieeexplore.ieee.org/document/9180645 |
| WOSCitedRecordID | wos000696570700258&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 | |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3PS8MwFA7b8KAXf2zib3LwaLcmXZbkKLKhImMwhd1G0iRjIK3Ozr_f99puKnjxlobQlvda3vuS932PkGvnQxyUMpGEXDnqc2sjq72KVDDcILPTVJ5-kuOxms30pEFutlwY731ZfOa7OCzP8l2ernGrrKeZQnm1JmlKOai4WptvB1AGjxOENjXYQnIgNpZjAlCS4AJJXZIrgGSwrtZ62lyzuvCLxbr3ML27nfaFTBA88rhbP_NX85Uy9oz2__fWB6TzTeKjk214OiQNnx2RvR_6g23yiJIk-YJu98ZoHmitYY5DAKrwI9Dhe6UHDnMZNRTvv1ysV0i6opNXU2De2yEvo-Hz3X1UN1eIlmCAImJWQuqnuQ2a8WAY5077IGLmReq0jB0Ec2cHNk6dSxLwnBU-1Up507cGDJock1aWZ_6EUAuLgvaATCD7CsxakQxib6XjPIBx01PSRqvM3yr9jHltkLO_p8_JLhq-Kpi7IK1itfaXZCf9LJYfq6vS6V_vlqWO |
| linkProvider | IEEE |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3fT8IwEG4QTdQXf6Dxt33w0cHaMdY-GgIBRUICJryRdm0JidkUh3-_d9tATXzxrWuabbnrcvd1931HyJ2xzndCKC-CXNlrcq09La3whFNcIbNTFZ4eRMOhmE7lqELuN1wYa21efGbrOMz_5Zs0XuFRWUMygfJqW2QbO2eVbK317gGcwf0AwU0Jt5AeiK3lWAg4KeQh0roiLgCUwbpS7Wl9zcrSL-bLRn_cfhg3wyhA-Mj9evnUX-1X8ujTPfjfex-Sk28aHx1tAtQRqdjkmOz_UCCskUcUJUnndHM6RlNHSxVzHAJUhU-Bdt4LRXCYS6iieP_FfLVE2hUdvaoMM98T8tLtTNo9r2yv4C3AAJnHdATJn-TaScadYpwbaV3oMxvGRka-gXBudEv7sTFBAL7ToY2lEFY1tQKDBqekmqSJPSNUwyInLWATyL8c0zoMWr7VkeHcgXHjc1JDq8zeCgWNWWmQi7-nb8lub_I8mA36w6dLsodOKMrnrkg1W67sNdmJP7PFx_Im3wBfx7eo1w |
| 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=IEEE+International+Symposium+on+Circuits+and+Systems+proceedings&rft.atitle=Analog+Solutions+of+Systems+of+Linear+Equations+on+a+Configurable+Platform&rft.au=Natarajan%2C+Aishwarya&rft.au=Hasler%2C+Jennifer&rft.date=2020-10-01&rft.pub=IEEE&rft.isbn=9781728133201&rft.issn=2158-1525&rft.spage=1&rft.epage=5&rft_id=info:doi/10.1109%2FISCAS45731.2020.9180645&rft.externalDocID=9180645 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2158-1525&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2158-1525&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2158-1525&client=summon |