A gm/ID Methodology Based Data-Driven Search Algorithm for the Design of Multistage Multipath Feed-Forward-Compensated Amplifiers Targeting High Speed Continuous-Time ΣΔ-Modulators

This article presents a methodology for sizing transistors of a multistage, multipath capacitor-less feed-forward compensated operational amplifiers employed in advanced CMOS process implementation of continuous-time bandpass <inline-formula> <tex-math notation="LaTeX">\Sigma \...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on computer-aided design of integrated circuits and systems Vol. 39; no. 12; pp. 4311 - 4324
Main Authors: Gebreyohannes, Fikre Tsigabu, Porte, Jacky, Louerat, Marie-Minerve, Aboushady, Hassan
Format: Journal Article
Language:English
Published: New York IEEE 01.12.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
ISSN:0278-0070, 1937-4151
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract This article presents a methodology for sizing transistors of a multistage, multipath capacitor-less feed-forward compensated operational amplifiers employed in advanced CMOS process implementation of continuous-time bandpass <inline-formula> <tex-math notation="LaTeX">\Sigma \Delta </tex-math></inline-formula>-modulators. This article describes the methodology: on system level, dealing with the placement of poles and zeros; and on the circuit level, discussing issues related to biasing, frequency response and other important performance metrics of the basic diff-pair. Algorithms are provided to simplify mathematical aspects of the work. The validity and the limitations of the proposed methodology are further discussed from the single-pole system used to model the individual amplification stages of the multistage amplifier. The worthiness of the proposed methodology in sizing the transistors of complex amplifier structures, such as the capacitor-less multistage, multipath feed-forward-compensated amplifiers is demonstrated using two design examples. A third-order amplifier with a dc gain of 52.6 dB and that reaches a unity-gain frequency of above 14 GHz while consuming only 5.6 mA from a 1-V supply; and a fourth-order amplifier with dc gain of 73.5 dB that achieves a 25.7-dB gain at 1 GHz while consuming 4.8 mW are designed in 28-nm CMOS FDSOI.
AbstractList This article presents a methodology for sizing transistors of a multistage, multipath capacitor-less feed-forward compensated operational amplifiers employed in advanced CMOS process implementation of continuous-time bandpass [Formula Omitted]-modulators. This article describes the methodology: on system level, dealing with the placement of poles and zeros; and on the circuit level, discussing issues related to biasing, frequency response and other important performance metrics of the basic diff-pair. Algorithms are provided to simplify mathematical aspects of the work. The validity and the limitations of the proposed methodology are further discussed from the single-pole system used to model the individual amplification stages of the multistage amplifier. The worthiness of the proposed methodology in sizing the transistors of complex amplifier structures, such as the capacitor-less multistage, multipath feed-forward-compensated amplifiers is demonstrated using two design examples. A third-order amplifier with a dc gain of 52.6 dB and that reaches a unity-gain frequency of above 14 GHz while consuming only 5.6 mA from a 1-V supply; and a fourth-order amplifier with dc gain of 73.5 dB that achieves a 25.7-dB gain at 1 GHz while consuming 4.8 mW are designed in 28-nm CMOS FDSOI.
This article presents a methodology for sizing transistors of a multistage, multipath capacitor-less feed-forward compensated operational amplifiers employed in advanced CMOS process implementation of continuous-time bandpass <inline-formula> <tex-math notation="LaTeX">\Sigma \Delta </tex-math></inline-formula>-modulators. This article describes the methodology: on system level, dealing with the placement of poles and zeros; and on the circuit level, discussing issues related to biasing, frequency response and other important performance metrics of the basic diff-pair. Algorithms are provided to simplify mathematical aspects of the work. The validity and the limitations of the proposed methodology are further discussed from the single-pole system used to model the individual amplification stages of the multistage amplifier. The worthiness of the proposed methodology in sizing the transistors of complex amplifier structures, such as the capacitor-less multistage, multipath feed-forward-compensated amplifiers is demonstrated using two design examples. A third-order amplifier with a dc gain of 52.6 dB and that reaches a unity-gain frequency of above 14 GHz while consuming only 5.6 mA from a 1-V supply; and a fourth-order amplifier with dc gain of 73.5 dB that achieves a 25.7-dB gain at 1 GHz while consuming 4.8 mW are designed in 28-nm CMOS FDSOI.
Author Aboushady, Hassan
Gebreyohannes, Fikre Tsigabu
Porte, Jacky
Louerat, Marie-Minerve
Author_xml – sequence: 1
  givenname: Fikre Tsigabu
  orcidid: 0000-0001-7149-9556
  surname: Gebreyohannes
  fullname: Gebreyohannes, Fikre Tsigabu
  email: fikre.gebreyohannes@cea.fr
  organization: CNRS, LIP6, Sorbonne Université, Paris, France
– sequence: 2
  givenname: Jacky
  orcidid: 0000-0002-1781-935X
  surname: Porte
  fullname: Porte, Jacky
  organization: CNRS, LIP6, Sorbonne Université, Paris, France
– sequence: 3
  givenname: Marie-Minerve
  orcidid: 0000-0001-9669-1085
  surname: Louerat
  fullname: Louerat, Marie-Minerve
  organization: CNRS, LIP6, Sorbonne Université, Paris, France
– sequence: 4
  givenname: Hassan
  orcidid: 0000-0003-3489-5968
  surname: Aboushady
  fullname: Aboushady, Hassan
  organization: CNRS, LIP6, Sorbonne Université, Paris, France
BookMark eNotjU1O5DAUhK0RSNMwHACxscTajX8SJ16GZBqQaM2CZt1yxy-JURIH22HEPbgBd-AYnGki9ayqVPqq6gydjG4EhC4ZXTNG1c2uLKo1p5yuuZJSqfwHWjElMpKwlJ2gFeVZTijN6E90FsILpSxJuVqhrwK3w81DhbcQO2dc79p3fKsDGFzpqEnl7RuM-Am0rztc9K3zNnYDbpzHsQNcQbDtiF2Dt3MfbYi6haOddOzwBsCQjfN_tTekdMMEY9BxGS-GqbeNBR_wTvsWoh1bfG_bDj9NSweXblyi2c2B7OwA-Pvz-4NsnZl7HZ0Pv9Bpo_sAF__1HD1vfu_Ke_L45-6hLB6JZZmMJEmlkKJRFGQqID9oIQQ9JDXTVFPBkzTTeaMYGGoSkJBkUppDLUydCpVrWotzdH3cnbx7nSHE_Yub_bhc7nkieZ7mVLGFujpSFgD2k7eD9u_7XEkuBBP_AB2agcA
CODEN ITCSDI
ContentType Journal Article
Copyright Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2020
Copyright_xml – notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2020
DBID 97E
RIA
RIE
7SC
7SP
8FD
JQ2
L7M
L~C
L~D
DOI 10.1109/TCAD.2020.2966998
DatabaseName IEEE All-Society Periodicals Package (ASPP) 2005–Present
IEEE All-Society Periodicals Package (ASPP) 1998–Present
IEEE/IET Electronic Library
Computer and Information Systems Abstracts
Electronics & Communications Abstracts
Technology Research Database
ProQuest Computer Science Collection
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
DatabaseTitle Technology Research Database
Computer and Information Systems Abstracts – Academic
Electronics & Communications Abstracts
ProQuest Computer Science Collection
Computer and Information Systems Abstracts
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts Professional
DatabaseTitleList Technology Research Database

Database_xml – sequence: 1
  dbid: RIE
  name: IEEE/IET Electronic Library
  url: https://ieeexplore.ieee.org/
  sourceTypes: Publisher
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 1937-4151
EndPage 4324
ExternalDocumentID 8962331
Genre orig-research
GrantInformation_xml – fundername: RAPID Project FLEXyRADIO
GroupedDBID --Z
-~X
0R~
29I
4.4
5GY
5VS
6IK
97E
AAJGR
AARMG
AASAJ
AAWTH
ABAZT
ABQJQ
ABVLG
ACGFS
ACIWK
ACNCT
AENEX
AETIX
AGQYO
AGSQL
AHBIQ
AI.
AIBXA
AKJIK
AKQYR
ALLEH
ALMA_UNASSIGNED_HOLDINGS
ASUFR
ATWAV
BEFXN
BFFAM
BGNUA
BKEBE
BPEOZ
CS3
DU5
EBS
EJD
HZ~
H~9
IBMZZ
ICLAB
IFIPE
IFJZH
IPLJI
JAVBF
LAI
M43
O9-
OCL
P2P
PZZ
RIA
RIE
RNS
TN5
VH1
VJK
7SC
7SP
8FD
JQ2
L7M
L~C
L~D
ID FETCH-LOGICAL-i176t-456363f90e653e8ba3330b4c1a0a032457a8f91ed0d4e6e4766dbc3dc5398a0c3
IEDL.DBID RIE
ISICitedReferencesCount 12
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000592111400001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0278-0070
IngestDate Sun Nov 09 08:34:11 EST 2025
Wed Aug 27 02:29:39 EDT 2025
IsDoiOpenAccess false
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 12
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-i176t-456363f90e653e8ba3330b4c1a0a032457a8f91ed0d4e6e4766dbc3dc5398a0c3
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0003-3489-5968
0000-0001-7149-9556
0000-0002-1781-935X
0000-0001-9669-1085
OpenAccessLink https://hal.sorbonne-universite.fr/hal-02460780
PQID 2462858091
PQPubID 85470
PageCount 14
ParticipantIDs proquest_journals_2462858091
ieee_primary_8962331
PublicationCentury 2000
PublicationDate 2020-12-01
PublicationDateYYYYMMDD 2020-12-01
PublicationDate_xml – month: 12
  year: 2020
  text: 2020-12-01
  day: 01
PublicationDecade 2020
PublicationPlace New York
PublicationPlace_xml – name: New York
PublicationTitle IEEE transactions on computer-aided design of integrated circuits and systems
PublicationTitleAbbrev TCAD
PublicationYear 2020
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 ssj0014529
Score 2.3757868
Snippet This article presents a methodology for sizing transistors of a multistage, multipath capacitor-less feed-forward compensated operational amplifiers employed...
SourceID proquest
ieee
SourceType Aggregation Database
Publisher
StartPage 4311
SubjectTerms <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">gm /<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">iD methodology
Amplification
Amplifier design
Bandpass
Capacitors
Circuits
CMOS
Continuous time
Data search
feed-forward compensation
Frequency modulation
Frequency response
Gain
Mathematical model
MATLAB script
Methodology
Modulators
multipath
multistage
operational amplifier
Operational amplifiers
Performance measurement
Poles and zeros
search algorithm
Search algorithms
Semiconductor devices
sigma delta modulator
Sizing
Transistors
Title A gm/ID Methodology Based Data-Driven Search Algorithm for the Design of Multistage Multipath Feed-Forward-Compensated Amplifiers Targeting High Speed Continuous-Time ΣΔ-Modulators
URI https://ieeexplore.ieee.org/document/8962331
https://www.proquest.com/docview/2462858091
Volume 39
WOSCitedRecordID wos000592111400001&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/IET Electronic Library
  customDbUrl:
  eissn: 1937-4151
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0014529
  issn: 0278-0070
  databaseCode: RIE
  dateStart: 19820101
  isFulltext: true
  titleUrlDefault: https://ieeexplore.ieee.org/
  providerName: IEEE
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV2xbtswECVcI0M7NE3Sok7c4oaMZUyLEiWOThyjAWIjQN0im0GRlGugsQzZzpfkD_IP-Qx_U-8oJSjQLt04iALFo3iPvPfuGDtVXhYuT2IeOR3x2HjDs8hqnlG2KiVcboPq_cd1Oplkt7f6psW-vGhhvPeBfObPqBli-a60W7oq62UanTWJpl-laVprtV4iBhRADPcplDEW13ETwewL3ZviR-FJMBJnEYJ7PF80lVT-2n6DTxnt_99o3rG3DXaEQW3sA9byy0P25o-MgkfsaQDzu97VEMahMnS4M4dz9FQOhmZj-LCi3Q1qkjEMfs3LarH5eQcIXQGhIAwDoQPKAoIyF6Hj3NdNKl0MI_R1fFRWgWpLWwkeghGsOhgQMb2gstowDdxyHA0QhwS-rbAPUBKsxXJbbtecRCewe9w98HHpqHhYWa3fs--jy-nFV96UZuCLfqo2HGGXVLLQwqtE-iw3UkqRx7ZvhBGI0ZLUZIXueydc7JWPU6XQ7NLZROrMCCs_sPayXPqPDIRFUEUPFGmOntJpW-jYx_huVcS5NB12RHM_W9XZN2bNtHdY99l4s-a3W88iUtomGWKg43_3OmGvaSHUfJQua2-qrf_E9uw9zmj1Oayo38K9znw
linkProvider IEEE
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3NbtQwELaqFgl6KD8F0VJgDhxx14kdJz4uLKtW7K6QWFBvkWM7y0p0U2V3-yR9A96Bx-gzMeOECgku3HyII8fjeD57vm-GsTc6yNpXmeKpNylXNlhepM7wgrJVaeErF1XvXyf5bFZcXJhPO-ztnRYmhBDJZ-GUmjGW7xu3pauyQWHQWZNoei9TKk06tdZdzIBCiPFGhXLG4kruY5iJMIM5fhaeBVNxmiK8xxNGX0vlrw04epXxw_8bzyN20KNHGHbmfsx2wuoJ2_8jp-Ah-zmExeXgfATTWBs63prDO_RVHkZ2Y_mopf0NOpoxDL8vmna5-XYJCF4BwSCMIqUDmhqiNhfB4yJ0TSpeDGP0dnzctJFsS5sJHoMRrnoYEjW9psLaMI_schwNEIsEPl9hH6A0WMvVttmuOclO4PbH7Q2fNp7KhzXt-in7Mv4wf3_G--IMfJnkesMReEktayOCzmQoKiulFJVyiRVWIErLclvUJgleeBV0ULnWaHjpXSZNYYWTz9juqlmF5wyEQ1hFD9R5hb7SG1cbFRS-W9eqkvaIHdLcl1dd_o2yn_YjdvLbeGX_463LlLS2WYEo6PjfvV6z-2fz6aScnM8-vmAPaFF07JQTtrtpt-Elu-eucXbbV3F1_QKjetHD
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+gm%2FID+Methodology+Based+Data-Driven+Search+Algorithm+for+the+Design+of+Multistage+Multipath+Feed-Forward-Compensated+Amplifiers+Targeting+High+Speed+Continuous-Time+%CE%A3%CE%94-Modulators&rft.jtitle=IEEE+transactions+on+computer-aided+design+of+integrated+circuits+and+systems&rft.au=Fikre+Tsigabu+Gebreyohannes&rft.au=Porte%2C+Jacky&rft.au=Marie-Minerve+Louerat&rft.au=Aboushady%2C+Hassan&rft.date=2020-12-01&rft.pub=The+Institute+of+Electrical+and+Electronics+Engineers%2C+Inc.+%28IEEE%29&rft.issn=0278-0070&rft.eissn=1937-4151&rft.volume=39&rft.issue=12&rft.spage=4311&rft_id=info:doi/10.1109%2FTCAD.2020.2966998&rft.externalDBID=NO_FULL_TEXT
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0278-0070&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0278-0070&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0278-0070&client=summon