CMOS transconductance multipliers: a tutorial

Real time analog multiplication of two signals is one of the most important operations in analog signal processing. The multiplier is used not only as a computational building block but also as a programming element in systems such as filters, neural networks, and as mixers and modulators in a commu...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on circuits and systems. 2, Analog and digital signal processing Vol. 45; no. 12; pp. 1550 - 1563
Main Authors: Gunhee Han, Sanchez-Sinencio, E.
Format: Journal Article
Language:English
Published: New York, NY IEEE 01.12.1998
Institute of Electrical and Electronics Engineers
Subjects:
ISSN:1057-7130
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract Real time analog multiplication of two signals is one of the most important operations in analog signal processing. The multiplier is used not only as a computational building block but also as a programming element in systems such as filters, neural networks, and as mixers and modulators in a communication system. Although high performance bipolar junction transistor multipliers have been available for some time, the CMOS multiplier implementation is still a challenging subject especially for low-voltage and low-power circuit design. Despite the large number of papers proposing new CMOS multiplier structures, they can be roughly grouped into a few categories. This tutorial provides a complete survey of CMOS multipliers, presents a unified generation of multiplier architectures, and proposes the most recommended MOS multiplier structure. This tutorial could serve as a starting reference point (and metric) for comparison of new CMOS multiplier circuit configurations. An illustrative CMOS chip prototype verifying theoretical results is presented.
AbstractList Real-time analog multiplication of two signals is one of the most important operations in analog signal processing. The multiplier is used not only as a computational building block but also as a programming element in systems such as filters, neural networks, and as mixers and modulators in a communication system. Although high performance bipolar junction transistor multipliers have been available for some time, the CMOS multiplier implementation is still a challenging subject especially for low-voltage and low-power circuit design. Despite the large number of papers proposing new MOS multiplier structures, they can be roughly grouped into a few categories. This tutorial provide a complete survey of CMOS multipliers, presents a unified generation of multiplier architectures, and proposes the most recommended MOS multiplier structure. This tutorial could serve as a starting reference point (and metric) for comparison of new CMOS multiplier circuit configurations. An illustrative CMOS chip prototype verifying theoretical results is presented.
Real time analog multiplication of two signals is one of the most important operations in analog signal processing. The multiplier is used not only as a computational building block but also as a programming element in systems such as filters, neural networks, and as mixers and modulators in a communication system. Although high performance bipolar junction transistor multipliers have been available for some time, the CMOS multiplier implementation is still a challenging subject especially for low-voltage and low-power circuit design. Despite the large number of papers proposing new CMOS multiplier structures, they can be roughly grouped into a few categories. This tutorial provides a complete survey of CMOS multipliers, presents a unified generation of multiplier architectures, and proposes the most recommended MOS multiplier structure. This tutorial could serve as a starting reference point (and metric) for comparison of new CMOS multiplier circuit configurations. An illustrative CMOS chip prototype verifying theoretical results is presented.
Author Sanchez-Sinencio, E.
Gunhee Han
Author_xml – sequence: 1
  surname: Gunhee Han
  fullname: Gunhee Han
  organization: Dept. of Electron. Eng., Yonsei Univ., Seoul, South Korea
– sequence: 2
  givenname: E.
  surname: Sanchez-Sinencio
  fullname: Sanchez-Sinencio, E.
BackLink http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=1691073$$DView record in Pascal Francis
BookMark eNpt0D1PwzAQBmAPRaItDKxMGRASQ9pzPmyHDVXlQyrqAMyW454lI9cptjPw7wlK1QEx3XDPe9J7MzLxnUdCrigsKIVmKYoFrxhjfEKmFGqec1rCOZnF-AkAgjZiSvLV6_YtS0H5qDu_63VSXmO2712yB2cxxPtMZalPXbDKXZAzo1zEy-Ock4_H9fvqOd9sn15WD5tcl8BSXlZtxQquuDFFoZuqFa2oWkTOudlxjTVVIAxqDYhMmRoGbQRtQVe0YLUp5-R2vHsI3VePMcm9jRqdUx67Pspi6NUAhQHeHKGKWjkz9NA2ykOwexW-JWUNBV4ObDkyHboYAxqpbVLJdn5obp2kIH8_JkUhx48Nibs_idPNf-z1aC0intxx-QO_onaE
CODEN ICSPE5
CitedBy_id crossref_primary_10_1109_TCSI_2015_2451912
crossref_primary_10_1016_j_vlsi_2017_06_001
crossref_primary_10_1002_cta_218
crossref_primary_10_1016_j_vlsi_2018_06_003
crossref_primary_10_1109_TCSI_2003_813970
crossref_primary_10_1109_TMTT_2006_879173
crossref_primary_10_1109_82_938362
crossref_primary_10_1109_TCSII_2020_2968246
crossref_primary_10_1049_ip_cds_20045092
crossref_primary_10_1109_TNSRE_2009_2018103
crossref_primary_10_1023_A_1026230111536
crossref_primary_10_1109_JSSC_2008_2007435
crossref_primary_10_1109_TCSI_2018_2883920
crossref_primary_10_2316_Journal_205_2004_4_205_4168
crossref_primary_10_1109_JSSC_2003_819090
crossref_primary_10_1109_ACCESS_2024_3391511
crossref_primary_10_1109_TVLSI_2015_2406953
crossref_primary_10_1007_s11432_014_5167_8
crossref_primary_10_1080_21681724_2017_1335787
crossref_primary_10_1007_s42979_022_01059_3
crossref_primary_10_1109_JSSC_2002_1004583
crossref_primary_10_1587_transele_E92_C_806
crossref_primary_10_1023_A_1011251910102
crossref_primary_10_1007_s13369_017_2968_2
crossref_primary_10_1109_LMWC_2013_2246555
crossref_primary_10_1016_j_vlsi_2004_07_016
crossref_primary_10_1109_TCSII_2009_2025626
crossref_primary_10_1109_ACCESS_2021_3092525
crossref_primary_10_2478_v10177_010_0050_z
crossref_primary_10_1109_JSSC_2015_2512934
crossref_primary_10_1049_el_2013_2608
crossref_primary_10_1109_JSSC_2011_2161214
crossref_primary_10_1007_s10470_005_4957_8
crossref_primary_10_1007_s10470_014_0369_y
crossref_primary_10_1002_mop_24682
crossref_primary_10_1109_TMTT_2016_2640949
crossref_primary_10_1002_cta_628
crossref_primary_10_1049_el_20031149
crossref_primary_10_1016_j_sna_2016_10_020
crossref_primary_10_1109_TMTT_2006_872070
crossref_primary_10_1007_s10470_009_9412_9
crossref_primary_10_1109_JSSC_2017_2656147
crossref_primary_10_1109_TCSII_2021_3134415
crossref_primary_10_1080_02286203_2015_1123920
crossref_primary_10_1109_JSSC_2006_881548
crossref_primary_10_1016_j_jii_2016_05_001
crossref_primary_10_1109_JETCAS_2019_2934929
crossref_primary_10_1016_j_optcom_2016_01_074
crossref_primary_10_1016_j_sse_2024_108915
crossref_primary_10_1007_s00034_008_9029_8
crossref_primary_10_1109_TMTT_2011_2132733
crossref_primary_10_1007_s00034_024_02632_2
crossref_primary_10_1016_j_aeue_2021_153948
crossref_primary_10_1016_j_vlsi_2018_05_010
crossref_primary_10_1109_JSSC_2015_2431076
crossref_primary_10_1016_j_aeue_2010_01_001
crossref_primary_10_1109_TCSII_2019_2893631
crossref_primary_10_1109_82_933803
crossref_primary_10_1109_MCAS_2002_1045856
crossref_primary_10_1109_TCSI_2005_852483
crossref_primary_10_1109_TMTT_2017_2772883
crossref_primary_10_1109_TPEL_2009_2033068
crossref_primary_10_1007_s11071_020_06017_3
crossref_primary_10_1007_s00034_018_0945_y
crossref_primary_10_1023_A_1020775811962
crossref_primary_10_1049_ip_cds_20000055
crossref_primary_10_1109_TFUZZ_2013_2290140
crossref_primary_10_1109_TCSI_2004_841599
crossref_primary_10_1109_TCSI_2010_2072052
crossref_primary_10_1109_TCSII_2005_857089
crossref_primary_10_1049_ip_cds_20045165
crossref_primary_10_1109_TMTT_2017_2783923
crossref_primary_10_1007_s10470_007_9119_8
crossref_primary_10_1109_TCSI_2021_3085214
crossref_primary_10_1109_TCSI_2024_3406167
crossref_primary_10_1109_TCSI_2007_895518
crossref_primary_10_1109_JSSC_2008_2004328
crossref_primary_10_1109_JSSC_2003_821779
crossref_primary_10_3390_jlpea14010014
crossref_primary_10_1109_TCSII_2008_926795
crossref_primary_10_4028_www_scientific_net_AMR_918_313
crossref_primary_10_1049_el_19991326
crossref_primary_10_1109_TCSII_2003_811434
crossref_primary_10_1002_cta_2243
crossref_primary_10_1109_JSSC_2006_881561
crossref_primary_10_1007_s10470_014_0274_4
Cites_doi 10.1109/ISCAS.1995.523808
10.1109/81.477210
10.1109/4.50316
10.1049/ip-cds:19941136
10.1109/TCS.1985.1085644
10.1049/el:19920749
10.1109/4.62165
ContentType Journal Article
Copyright 1999 INIST-CNRS
Copyright_xml – notice: 1999 INIST-CNRS
DBID RIA
RIE
AAYXX
CITATION
IQODW
7SP
8FD
L7M
DOI 10.1109/82.746667
DatabaseName IEEE All-Society Periodicals Package (ASPP) 1998–Present
IEEE/IET Electronic Library
CrossRef
Pascal-Francis
Electronics & Communications Abstracts
Technology Research Database
Advanced Technologies Database with Aerospace
DatabaseTitle CrossRef
Technology Research Database
Advanced Technologies Database with Aerospace
Electronics & Communications Abstracts
DatabaseTitleList 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
Applied Sciences
EndPage 1563
ExternalDocumentID 1691073
10_1109_82_746667
746667
GroupedDBID -~X
0R~
29I
3EH
6IK
85S
AAJGR
AAWTH
ABAZT
ABQJQ
ABVLG
ACIWK
AGQYO
AHBIQ
AIBXA
ALLEH
ALMA_UNASSIGNED_HOLDINGS
ASUFR
BEFXN
BFFAM
BGNUA
BKEBE
BPEOZ
EBS
EJD
HZ~
H~9
ICLAB
IFIPE
IFJZH
IPLJI
JAVBF
LAI
O9-
OCL
PZZ
RIA
RIE
RNS
VJK
AAYXX
CITATION
IQODW
RIG
7SP
8FD
L7M
ID FETCH-LOGICAL-c306t-34b4627a7ff22c94b8b84bee777fd7ce51a08fecc0ee6af50462f81b0c41265f3
IEDL.DBID RIE
ISICitedReferencesCount 213
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000078561500004&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 1057-7130
IngestDate Fri Sep 05 10:42:47 EDT 2025
Mon Jul 21 09:16:03 EDT 2025
Tue Nov 18 20:04:07 EST 2025
Sat Nov 29 05:59:42 EST 2025
Wed Aug 27 02:55:07 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 12
Keywords Circuit architecture
Polynomial function
Low voltage
Low noise circuit
Circuit design
Complementary MOS technology
Integrated circuit
Multiplier
Implementation
Transconductance
Bipolar transistor
Language English
License https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html
CC BY 4.0
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c306t-34b4627a7ff22c94b8b84bee777fd7ce51a08fecc0ee6af50462f81b0c41265f3
Notes ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
PQID 27469010
PQPubID 23500
PageCount 14
ParticipantIDs crossref_primary_10_1109_82_746667
crossref_citationtrail_10_1109_82_746667
ieee_primary_746667
proquest_miscellaneous_27469010
pascalfrancis_primary_1691073
PublicationCentury 1900
PublicationDate 1998-12-01
PublicationDateYYYYMMDD 1998-12-01
PublicationDate_xml – month: 12
  year: 1998
  text: 1998-12-01
  day: 01
PublicationDecade 1990
PublicationPlace New York, NY
PublicationPlace_xml – name: New York, NY
PublicationTitle IEEE transactions on circuits and systems. 2, Analog and digital signal processing
PublicationTitleAbbrev T-CAS2
PublicationYear 1998
Publisher IEEE
Institute of Electrical and Electronics Engineers
Publisher_xml – name: IEEE
– name: Institute of Electrical and Electronics Engineers
References ref68
ref67
laker (ref73) 1994
ref69
allen (ref65) 1987
ref66
ref71
ref70
ref72
References_xml – ident: ref72
  doi: 10.1109/ISCAS.1995.523808
– ident: ref66
  doi: 10.1109/81.477210
– ident: ref71
  doi: 10.1109/4.50316
– ident: ref68
  doi: 10.1049/ip-cds:19941136
– ident: ref67
  doi: 10.1109/TCS.1985.1085644
– year: 1987
  ident: ref65
  publication-title: CMOS Analog Circuit Design
– year: 1994
  ident: ref73
  publication-title: Design of Analog Integrated Circuits and Systems
– ident: ref69
  doi: 10.1049/el:19920749
– ident: ref70
  doi: 10.1109/4.62165
SSID ssj0008198
Score 2.0208497
Snippet Real time analog multiplication of two signals is one of the most important operations in analog signal processing. The multiplier is used not only as a...
Real-time analog multiplication of two signals is one of the most important operations in analog signal processing. The multiplier is used not only as a...
SourceID proquest
pascalfrancis
crossref
ieee
SourceType Aggregation Database
Index Database
Enrichment Source
Publisher
StartPage 1550
SubjectTerms Applied sciences
Bipolar transistor circuits
Circuit synthesis
Communication systems
Computer networks
Electronics
Exact sciences and technology
Filters
Integrated circuits
Integrated circuits by function (including memories and processors)
Modulation coding
Neural networks
Semiconductor electronics. Microelectronics. Optoelectronics. Solid state devices
Signal processing
Transconductance
Tutorial
Title CMOS transconductance multipliers: a tutorial
URI https://ieeexplore.ieee.org/document/746667
https://www.proquest.com/docview/27469010
Volume 45
WOSCitedRecordID wos000078561500004&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)
  issn: 1057-7130
  databaseCode: RIE
  dateStart: 19920101
  customDbUrl:
  isFulltext: true
  dateEnd: 20031231
  titleUrlDefault: https://ieeexplore.ieee.org/
  omitProxy: false
  ssIdentifier: ssj0008198
  providerName: IEEE
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1NS8NAEB1s8aAHP6pi1WoQD162zccmu_EmxeJBq6BCb2GzmQVBWmlTf7-zm7Ra7MVbCLshvNnszGRn3gO4KlAEqpCcRSrhjGOETCZSMRnzQvlSSFM41ZIHMRzK0Sh9rnm2XS8MIrriM-zaS3eWX0z03P4q6wlOwbZoQEMIUbVqLTddcmxV11ssGOVdfk0iFPhpT4bdauKK63FaKrYSUs0IDFOpWPzZkJ2XGez-6_32YKcOJr3byvr7sIHjFmz_ohg8ANZ_fHrxSuuRKPO15K7WzF5dR2h1sG885ZWWyYBW4iG8De5e-_eslkhgmmL9kkU850kolDAmDHXKc5lLniMSQKYQGuOAADdkJh8xUSa2raiGIlVf8yBMYhMdQXM8GeMxeDqVgtJsClek4qhUrnKTRJZtJlCxCPI2XC_Qy3TNH25lLD4yl0f4aSbDrEKgDZfLoZ8Vaca6QS2L4HLA4m5nxSI_8xMKbETUhouFhTL6EOzphhrjZD7LKL224lr-ydrnnsKW6yZ0hShn0Cync-zApv4q32fTc7eWvgEo5cit
linkProvider IEEE
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3fS8MwED50CuqDP6bi1LkiPviSrT_SJvVNhmPiNgUn7K2k6QUE2WTr_PtN0m463ItvpSSl3KW575q77wO4yZB5IuOUBCKihGKAhEdcEB7STLiccZVZ1ZIeGwz4aBS_lDzbthcGEW3xGTbNpT3LzyZybn6VtRjVYJttwlZIqe8VzVrLbVeHtqLvLWREZ15uSSPkuXGL-81i6krwsWoqphZSzLQ5VKFj8WdLtnGmc_CvNzyE_RJOOveF_49gA8dV2PtFMngMpN1_fnVyE5N07mvoXY2jnbKS0Chh3znCyQ2XgV6LJ_DWeRi2u6QUSSBSo_2cBDSlkc8EU8r3ZUxTnnKaIjLGVMYkhp42udKOchEjoULTjKo0VnUl9fwoVMEpVMaTMZ6BI2POdKKtAQsXFIVIRaqiwPDNeCJkXlqD24X1ElkyiBshi4_EZhJunHA_KSxQg-vl0M-CNmPdoKqx4HLA4m59xSM_8yMNbVhQg8bCQ4n-FMz5hhjjZD5LdIJt5LXc87XPbcBOd9jvJb3HwdMF7NreQluWcgmVfDrHOmzLr_x9Nr2y6-obwGfL9A
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=CMOS+transconductance+multipliers%3A+a+tutorial&rft.jtitle=IEEE+transactions+on+circuits+and+systems.+2%2C+Analog+and+digital+signal+processing&rft.au=Gunhee+Han&rft.au=Sanchez-Sinencio%2C+E.&rft.date=1998-12-01&rft.issn=1057-7130&rft.volume=45&rft.issue=12&rft.spage=1550&rft.epage=1563&rft_id=info:doi/10.1109%2F82.746667&rft.externalDBID=n%2Fa&rft.externalDocID=10_1109_82_746667
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1057-7130&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1057-7130&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1057-7130&client=summon