COMP 103. Lecture 10. Inverter Dynamics: The Quest for Performance. Section 5.4.2, What is this lecture+ about? PERFORMANCE
|
|
- Tracy Reynolds
- 5 years ago
- Views:
Transcription
1 COMP 103 Lecture 10 Inverter Dynamics: The Quest for Performance Section 5.4.2, [All lecture notes are adapted from Mary Jane Irwin, Penn State, which were adapted from Rabaey s Digital Integrated Circuits, 2002, J. Rabaey et al.] COMP103-L10.1 What is this lecture+ about? PERFORMANCE 1. Factors affecting performance: C L, W/L, VDD, 2. The ratio of the PMOS to NMOS could be optimized for symmetrical t phl & t plh and symmetric VTC but here we learn how to set the ratio to optimize t p 3. While sizing up an inverter reduces its delay, it also increase its input capacitance impacting the delay of the driving gate! (selfloading). What s the best sizing? In Out 4. Now we can size a chain of inverters.. If C L is given - How should the inverters be sized? - How many stages are needed to minimize the delay? 5. What about input slope impact (instead of a step)? 6. What about inverters with long wire delays inbetween? COMP103-L10.2 C g,1 1 C L = 8 C g,1
2 Inverter Propagation Delay, revisited Propagation delay is proportional to the time-constant of the network formed by the pull-down resistor and the load capacitance V DD t phl = f(r n, C L ) R n C L V out = 0 t phl = ln(2) R eqn C L = 0.69 R eqn C L t plh = ln(2) R eqp C L = 0.69 R eqp C L V in = V DD t p = (t phl + t plh )/2 = 0.69 C L (R eqn + R eqp )/2 To equalize rise and fall times make the on-resistance of the NMOS and PMOS approximately equal. COMP103-L10.3 Inverter Propagation Delay, Revisited To see how a designer can optimize the delay of a gate have to expand the R eq in the delay equation t phl = 0.69 R eqn C L t p(normalized) = 0.69 (3/4 (V DD )/I DSATn ) C L 0.52 C L / (W/L n k n V DSATn ) For VGS = VDD, VDS = VDD-> VDD/ V DD (V) COMP103-L10.4
3 Derivation of Reqn COMP103-L10.5 Yes. That should have looked familiar.. Same results with simulated equivalent resistance of a minimum size NMOS transistor R eq (Ohm) x10 5 (for V GS = V DD, V DS = V DD V DD /2) V DD (V) V DD (V) NMOS(kΩ) PMOS (kω) COMP103-L10.6
4 Design for Performance Reduce C L COMP103-L10.7 internal diffusion capacitance of the gate itself - keep the drain diffusion as small as possible interconnect capacitance fanout Increase W/L ratio of the transistor the most powerful and effective performance optimization tool in the hands of the designer watch out for self-loading! when the intrinsic capacitance dominates the extrinsic load Increase V DD can trade-off energy for performance increasing V DD above a certain level yields only very minimal improvements reliability concerns enforce a firm upper bound on V DD NMOS/PMOS Ratio Concerns: symmetrical VTC equal high-to-low and low-to-high propagation delays speed, t p So far have sized the PMOS and NMOS so that the R eq s match (ratio of 2-3) symmetric VTC, equal t phl & t plh If speed is the only concern, reduce the width of the PMOS device! What happens? There must be a ratio β = (W/L p )/(W/L n ) that optimizes t p!! r = R eqp /R eqn (resistance ratio of identically-sized PMOS and NMOS) COMP103-L10.8 β opt = r when wiring capacitance is negligible
5 Derivation of β opt COMP103-L10.9 PMOS/NMOS Ratio Effects -- Simulation 5 x t p (sec) t plh t phl t p β of 2.4 (= 31 kω/13 kω) gives symmetrical response β of 1.6 to 1.9 gives optimal performance β = (W/L p )/(W/L n ) COMP103-L10.10
6 Device Sizing for Performance Divide capacitive load, C L, into C int : intrinsic - diffusion and Miller effect C ext : extrinsic - wiring and fanout t p = t p0 (1 + C ext /C int ) where t p0 = 0.69 R eq C int is the intrinsic (unloaded) delay of the gate Widening both PMOS and NMOS by a factor S reduces R eq by an identical factor (R eq = R ref /S), but raises the intrinsic capacitance by the same factor (C int = SC iref ) t p = 0.69 R ref C iref (1 + C ext /(SC iref )) = t p0 (1 + C ext /(SC iref )) COMP103-L10.11 t p0 is independent of the sizing of the gate with no load, there is no gain. The drive of the gate is totally offset by the increased capacitance any S sufficiently larger than (C ext /C int ) yields the best performance gains with least area impact Example of finding S Given a time budget of 4 ps, t p0 = 2ps, C ext =9 ff, C int = 3ff, determine the smallest S that would allow tp to meet the timing budget. COMP103-L10.12
7 Sizing Impacts on Delay t p (sec) x for a fixed load S The majority of the improvement is already obtained for S = 5. Sizing factors larger than 10 barely yield any extra gain (and cost significantly more area). self-loading effect (intrinsic capacitance dominates) COMP103-L10.13 Can t study delay in isolation Simplest case studied in an inverter chain but basics apply (creatively) to other cases In C g,1 1 2 N C L Out COMP103-L10.14
8 Impact of Fanout on Delay Extrinsic capacitance, C ext, is a function of the fanout of the gate - the larger the fanout, the larger the external load. Two stages: First, determine the relationship between input loading C g and output loading C int, both are proportional to the gate sizing. Define: γ = C int / C g Second, determine the relationship between the C ext and C g f = C ext /C g (f is the effective fan-out) t p = t p0 (1 + C ext / C int ) = Because γ is close to 1 in most processes, the delay of an inverter is a function of the ratio between its external load capacitance and its input gate capacitance: f COMP103-L10.15 Inverter Chain Our goal is to minimize the delay through an inverter chain In C g,1 1 2 N C L Out The delay through the stages:of the j-th inverter stage is t p, total = t p,j = t p0 (1 + C g,j+1 /(γc g,j )) COMP103-L10.16
9 Sizing Inverter Chains: The Questions If C g,1 and C L is given Given a fixed number of inverter stages, how should the inverters be sized? How many stages are needed to minimize the delay? And what sizes should they be? COMP103-L10.17 Sizing the Inverters in the Chain How many unknowns are there? (check with the t p, total equation) Take N-1 partial derivatives, and equate to 0. Result: constraints: Cg, j+1 / Cg, j = Cg, j / Cg, j -1, with j = 2,.. N The optimum size of each inverter is the geometric mean of its neighbors Each gate will have the same effective fan-out and the same delay. If each inverter is sized up by the same factor f wrt the preceding gate, then, N N f = C L /C g,1 = F where F represents the overall effective fan-out of the circuit (F = C L /C g,1 ) and the minimum delay through the inverter chain is COMP103-L10.18 t p = N t p0 (1 + ( F ) / γ)
10 Example of Inverter Chain Sizing In C g,1 1 Out C L = 8 C g,1 C L /C g,1 has to be evenly distributed over N = 3 inverters C L /C g,1 = 8/1 f = COMP103-L10.19
The CMOS Inverter: A First Glance
The CMOS Inverter: A First Glance V DD S D V in V out C L D S CMOS Inverter N Well V DD V DD PMOS 2λ PMOS Contacts In Out In Out Metal 1 NMOS Polysilicon NMOS GND CMOS Inverter: Steady State Response V
More informationIntegrated Circuits & Systems
Federal University of Santa Catarina Center for Technology Computer Science & Electronics Engineering Integrated Circuits & Systems INE 5442 Lecture 14 The CMOS Inverter: dynamic behavior (sizing, inverter
More informationThe CMOS Inverter: A First Glance
The CMOS Inverter: A First Glance V DD V in V out C L CMOS Properties Full rail-to-rail swing Symmetrical VTC Propagation delay function of load capacitance and resistance of transistors No static power
More information5.0 CMOS Inverter. W.Kucewicz VLSICirciuit Design 1
5.0 CMOS Inverter W.Kucewicz VLSICirciuit Design 1 Properties Switching Threshold Dynamic Behaviour Capacitance Propagation Delay nmos/pmos Ratio Power Consumption Contents W.Kucewicz VLSICirciuit Design
More informationENEE 359a Digital VLSI Design
SLIDE 1 ENEE 359a Digital VLSI Design & Logical Effort Prof. blj@ece.umd.edu Credit where credit is due: Slides contain original artwork ( Jacob 2004) as well as material taken liberally from Irwin & Vijay
More informationInterconnect (2) Buffering Techniques. Logical Effort
Interconnect (2) Buffering Techniques. Logical Effort Lecture 14 18-322 Fall 2002 Textbook: [Sections 4.2.1, 8.2.3] A few announcements! M1 is almost over: The check-off is due today (by 9:30PM) Students
More informationChapter 5. The Inverter. V1. April 10, 03 V1.1 April 25, 03 V2.1 Nov Inverter
Chapter 5 The Inverter V1. April 10, 03 V1.1 April 25, 03 V2.1 Nov.12 03 Objective of This Chapter Use Inverter to know basic CMOS Circuits Operations Watch for performance Index such as Speed (Delay calculation)
More informationDynamic operation 20
Dynamic operation 20 A simple model for the propagation delay Symmetric inverter (rise and fall delays are identical) otal capacitance is linear t p Minimum length devices R W C L t = 0.69R C = p W L 0.69
More informationThe Inverter. Digital Integrated Circuits A Design Perspective. Jan M. Rabaey Anantha Chandrakasan Borivoje Nikolic
Digital Integrated Circuits A Design Perspective Jan M. Rabaey Anantha Chandrakasan Borivoje Nikolic The Inverter Revised from Digital Integrated Circuits, Jan M. Rabaey el, 2003 Propagation Delay CMOS
More informationDigital Integrated Circuits 2nd Inverter
Digital Integrated Circuits The Inverter The CMOS Inverter V DD Analysis Inverter complex gate Cost V in V out complexity & Area Integrity and robustness C L Static behavior Performance Dynamic response
More informationInterconnect (2) Buffering Techniques.Transmission Lines. Lecture Fall 2003
Interconnect (2) Buffering Techniques.Transmission Lines Lecture 12 18-322 Fall 2003 A few announcements Partners Lab Due Times Midterm 1 is nearly here Date: 10/14/02, time: 3:00-4:20PM, place: in class
More informationDigital Microelectronic Circuits ( ) The CMOS Inverter. Lecture 4: Presented by: Adam Teman
Digital Microelectronic Circuits (361-1-301 ) Presented by: Adam Teman Lecture 4: The CMOS Inverter 1 Last Lectures Moore s Law Terminology» Static Properties» Dynamic Properties» Power The MOSFET Transistor»
More informationAnnouncements. EE141- Fall 2002 Lecture 7. MOS Capacitances Inverter Delay Power
- Fall 2002 Lecture 7 MOS Capacitances Inverter Delay Power Announcements Wednesday 12-3pm lab cancelled Lab 4 this week Homework 2 due today at 5pm Homework 3 posted tonight Today s lecture MOS capacitances
More informationDigital Integrated Circuits A Design Perspective
Digital Integrated Circuits Design Perspective Jan M. Rabaey nantha Chandrakasan orivoje Nikolić Designing Combinational Logic Circuits November 2002. 1 Combinational vs. Sequential Logic In Combinational
More informationEE115C Digital Electronic Circuits Homework #5
EE115C Digital Electronic Circuits Homework #5 Due Thursday, May 13, 6pm @ 56-147E EIV Problem 1 Elmore Delay Analysis Calculate the Elmore delay from node A to node B using the values for the resistors
More informationLecture 4: CMOS review & Dynamic Logic
Lecture 4: CMOS review & Dynamic Logic Reading: ch5, ch6 Overview CMOS basics Power and energy in CMOS Dynamic logic 1 CMOS Properties Full rail-to-rail swing high noise margins Logic levels not dependent
More informationHomework #2 10/6/2016. C int = C g, where 1 t p = t p0 (1 + C ext / C g ) = t p0 (1 + f/ ) f = C ext /C g is the effective fanout
0/6/06 Homework # Lecture 8, 9: Sizing and Layout of omplex MOS Gates Reading: hapter 4, sections 4.3-4.5 October 3 & 5, 06 hapter, section.5.5 Prof. R. Iris ahar Weste & Harris vailable on course webpage
More informationTHE INVERTER. Inverter
THE INVERTER DIGITAL GATES Fundamental Parameters Functionality Reliability, Robustness Area Performance» Speed (delay)» Power Consumption» Energy Noise in Digital Integrated Circuits v(t) V DD i(t) (a)
More informationENGR890 Digital VLSI Design Fall Lecture 4: CMOS Inverter (static view)
ENGR89 Digital VLSI Design Fall 5 Lecture 4: CMOS Inverter (static view) [Adapted from Chapter 5 of Digital Integrated Circuits, 3, J. Rabaey et al.] [Also borrowed from Vijay Narayanan and Mary Jane Irwin]
More informationDigital Microelectronic Circuits ( )
Digital Microelectronic ircuits (361-1-3021 ) Presented by: Dr. Alex Fish Lecture 5: Parasitic apacitance and Driving a Load 1 Motivation Thus far, we have learned how to model our essential building block,
More informationCHAPTER 15 CMOS DIGITAL LOGIC CIRCUITS
CHAPTER 5 CMOS DIGITAL LOGIC CIRCUITS Chapter Outline 5. CMOS Logic Gate Circuits 5. Digital Logic Inverters 5.3 The CMOS Inverter 5.4 Dynamic Operation of the CMOS Inverter 5.5 Transistor Sizing 5.6 Power
More informationCMOS Inverter (static view)
Review: Design Abstraction Levels SYSTEM CMOS Inverter (static view) + MODULE GATE [Adapted from Chapter 5. 5.3 CIRCUIT of G DEVICE Rabaey s Digital Integrated Circuits,, J. Rabaey et al.] S D Review:
More informationECE 546 Lecture 10 MOS Transistors
ECE 546 Lecture 10 MOS Transistors Spring 2018 Jose E. Schutt-Aine Electrical & Computer Engineering University of Illinois jesa@illinois.edu NMOS Transistor NMOS Transistor N-Channel MOSFET Built on p-type
More informationCMPEN 411 VLSI Digital Circuits. Lecture 04: CMOS Inverter (static view)
CMPEN 411 VLSI Digital Circuits Lecture 04: CMOS Inverter (static view) Kyusun Choi [Adapted from Rabaey s Digital Integrated Circuits, Second Edition, 2003 J. Rabaey, A. Chandrakasan, B. Nikolic] CMPEN
More informationEE 466/586 VLSI Design. Partha Pande School of EECS Washington State University
EE 466/586 VLSI Design Partha Pande School of EECS Washington State University pande@eecs.wsu.edu Lecture 9 Propagation delay Power and delay Tradeoffs Follow board notes Propagation Delay Switching Time
More informationECE 438: Digital Integrated Circuits Assignment #4 Solution The Inverter
ECE 438: Digital Integrated Circuits Assignment #4 The Inverter Text: Chapter 5, Digital Integrated Circuits 2 nd Ed, Rabaey 1) Consider the CMOS inverter circuit in Figure P1 with the following parameters.
More informationEECS 141: FALL 05 MIDTERM 1
University of California College of Engineering Department of Electrical Engineering and Computer Sciences D. Markovic TuTh 11-1:3 Thursday, October 6, 6:3-8:pm EECS 141: FALL 5 MIDTERM 1 NAME Last SOLUTION
More informationEE5311- Digital IC Design
EE5311- Digital IC Design Module 3 - The Inverter Janakiraman V Assistant Professor Department of Electrical Engineering Indian Institute of Technology Madras Chennai September 6, 2017 Janakiraman, IITM
More informationEE141-Fall Digital Integrated Circuits. Announcements. Lab #2 Mon., Lab #3 Fri. Homework #3 due Thursday. Homework #4 due next Thursday
EE4-Fall 2000 Digital Integrated ircuits Lecture 6 Inverter Delay Optimization Announcements Lab #2 Mon., Lab #3 Fri. Homework #3 due Thursday Homework #4 due next Thursday 2 2 lass Material Last lecture
More informationCARNEGIE MELLON UNIVERSITY DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING DIGITAL INTEGRATED CIRCUITS FALL 2002
CARNEGIE MELLON UNIVERSITY DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING 18-322 DIGITAL INTEGRATED CIRCUITS FALL 2002 Final Examination, Monday Dec. 16, 2002 NAME: SECTION: Time: 180 minutes Closed
More informationCOMP 103. Lecture 16. Dynamic Logic
COMP 03 Lecture 6 Dynamic Logic Reading: 6.3, 6.4 [ll lecture notes are adapted from Mary Jane Irwin, Penn State, which were adapted from Rabaey s Digital Integrated Circuits, 2002, J. Rabaey et al.] COMP03
More information2007 Fall: Electronic Circuits 2 CHAPTER 10. Deog-Kyoon Jeong School of Electrical Engineering
007 Fall: Electronic Circuits CHAPTER 10 Digital CMOS Logic Circuits Deog-Kyoon Jeong dkjeong@snu.ac.kr k School of Electrical Engineering Seoul lnational luniversity it Introduction In this chapter, we
More informationECE321 Electronics I
ECE31 Electronics Lecture 1: CMOS nverter: Noise Margin & Delay Model Payman Zarkesh-Ha Office: ECE Bldg. 30B Office hours: Tuesday :00-3:00PM or by appointment E-mail: payman@ece.unm.edu Slide: 1 CMOS
More informationEE5311- Digital IC Design
EE5311- Digital IC Design Module 3 - The Inverter Janakiraman V Assistant Professor Department of Electrical Engineering Indian Institute of Technology Madras Chennai September 3, 2018 Janakiraman, IITM
More informationCMPEN 411 VLSI Digital Circuits Spring 2012
CMPEN 411 VLSI Digital Circuits Spring 2012 Lecture 09: Resistance & Inverter Dynamic View [Adapted from Rabaey s Digital Integrated Circuits, Second Edition, 2003 J. Rabaey, A. Chandrakasan, B. Nikolic]
More informationIntegrated Circuits & Systems
Federal University of Santa Catarina Center for Technology Computer Science & Electronics Engineering Integrated Circuits & Systems INE 5442 Lecture 13 The CMOS Inverter: dynamic behavior (delay) guntzel@inf.ufsc.br
More informationCMOS INVERTER. Last Lecture. Metrics for qualifying digital circuits. »Cost» Reliability» Speed (delay)»performance
CMOS INVERTER Last Lecture Metrics for qualifying digital circuits»cost» Reliability» Speed (delay)»performance 1 Today s lecture The CMOS inverter at a glance An MOS transistor model for manual analysis
More informationDigital Integrated Circuits A Design Perspective
igital Integrated Circuits esign Perspective esigning Combinational Logic Circuits 1 Combinational vs. Sequential Logic In Combinational Logic Circuit Out In Combinational Logic Circuit Out State Combinational
More informationProperties of CMOS Gates Snapshot
MOS logic 1 Properties of MOS Gates Snapshot High noise margins: V OH and V OL are at V DD and GND, respectively. No static power consumption: There never exists a direct path between V DD and V SS (GND)
More informationIntegrated Circuits & Systems
Federal University of Santa Catarina Center for Technology Computer Science & Electronics Engineering Integrated Circuits & Systems INE 5442 Lecture 16 CMOS Combinational Circuits - 2 guntzel@inf.ufsc.br
More informationCheck course home page periodically for announcements. Homework 2 is due TODAY by 5pm In 240 Cory
EE141 Fall 005 Lecture 6 MOS Capacitances, Propagation elay Important! Check course home page periodically for announcements Homework is due TOAY by 5pm In 40 Cory Homework 3 will be posted TOAY ue Thursday
More informationECE 342 Electronic Circuits. Lecture 35 CMOS Delay Model
ECE 34 Electronic Circuits Lecture 35 CMOS Delay Model Jose E. Schutt-Aine Electrical & Computer Engineering University of Illinois jesa@illinois.edu ECE 34 Jose Schutt Aine 1 Digital Circuits V IH : Input
More informationB.Supmonchai July 5th, q Quantification of Design Metrics of an inverter. q Optimization of an inverter design. B.Supmonchai Why CMOS Inverter?
July 5th, 4 Goals of This Chapter Quantification of Design Metrics of an inverter Static (or Steady-State) Behavior Chapter 5 CMOS Inverter Boonchuay Supmonchai Integrated Design Application Research (IDAR)
More informationECE 342 Solid State Devices & Circuits 4. CMOS
ECE 34 Solid State Devices & Circuits 4. CMOS Jose E. Schutt-Aine Electrical & Computer Engineering University of Illinois jschutt@emlab.uiuc.edu ECE 34 Jose Schutt Aine 1 Digital Circuits V IH : Input
More informationUNIVERSITY OF CALIFORNIA, BERKELEY College of Engineering Department of Electrical Engineering and Computer Sciences
UNIVERSITY OF CALIFORNIA, BERKELEY College of Engineering Department of Electrical Engineering and Computer Sciences Elad Alon Homework #2 EECS141 Due Thursday, September 9, 5pm, box in 240 Cory PROBLEM
More informationDigital Integrated Circuits
Digital Integrated ircuits YuZhuo Fu contact:fuyuzhuo@ic.sjtu.edu.cn Office location:47 room WeiDianZi building,no 800 Donghuan road,minhang amus Introduction Digital I 3.MOS Inverter Introduction Digital
More informationLecture 5: DC & Transient Response
Lecture 5: DC & Transient Response Outline q Pass Transistors q DC Response q Logic Levels and Noise Margins q Transient Response q RC Delay Models q Delay Estimation 2 Activity 1) If the width of a transistor
More informationCMOS logic gates. João Canas Ferreira. March University of Porto Faculty of Engineering
CMOS logic gates João Canas Ferreira University of Porto Faculty of Engineering March 2016 Topics 1 General structure 2 General properties 3 Cell layout João Canas Ferreira (FEUP) CMOS logic gates March
More informationVery Large Scale Integration (VLSI)
Very Large Scale Integration (VLSI) Lecture 4 Dr. Ahmed H. Madian Ah_madian@hotmail.com Dr. Ahmed H. Madian-VLSI Contents Delay estimation Simple RC model Penfield-Rubenstein Model Logical effort Delay
More informationAnnouncements. EE141- Spring 2003 Lecture 8. Power Inverter Chain
- Spring 2003 Lecture 8 Power Inverter Chain Announcements Homework 3 due today. Homework 4 will be posted later today. Special office hours from :30-3pm at BWRC (in lieu of Tuesday) Today s lecture Power
More informationThe Physical Structure (NMOS)
The Physical Structure (NMOS) Al SiO2 Field Oxide Gate oxide S n+ Polysilicon Gate Al SiO2 SiO2 D n+ L channel P Substrate Field Oxide contact Metal (S) n+ (G) L W n+ (D) Poly 1 Transistor Resistance Two
More informationLecture 14 - Digital Circuits (III) CMOS. April 1, 2003
6.12 - Microelectronic Devices and Circuits - Spring 23 Lecture 14-1 Lecture 14 - Digital Circuits (III) CMOS April 1, 23 Contents: 1. Complementary MOS (CMOS) inverter: introduction 2. CMOS inverter:
More informationEECS 151/251A Homework 5
EECS 151/251A Homework 5 Due Monday, March 5 th, 2018 Problem 1: Timing The data-path shown below is used in a simple processor. clk rd1 rd2 0 wr regfile 1 0 ALU REG 1 The elements used in the design have
More informationMiscellaneous Lecture topics. Mary Jane Irwin [Adapted from Rabaey s Digital Integrated Circuits, 2002, J. Rabaey et al.]
Miscellaneous Lecture topics Mary Jane Irwin [dapted from Rabaey s Digital Integrated Circuits, 2002, J. Rabaey et al.] MOS Switches MOS transistors can be viewed as simple switches. In an N-Switch, the
More informationToday s lecture. EE141- Spring 2003 Lecture 4. Design Rules CMOS Inverter MOS Transistor Model
- Spring 003 Lecture 4 Design Rules CMOS Inverter MOS Transistor Model Today s lecture Design Rules The CMOS inverter at a glance An MOS transistor model for manual analysis Important! Labs start next
More informationPower Dissipation. Where Does Power Go in CMOS?
Power Dissipation [Adapted from Chapter 5 of Digital Integrated Circuits, 2003, J. Rabaey et al.] Where Does Power Go in CMOS? Dynamic Power Consumption Charging and Discharging Capacitors Short Circuit
More informationSpiral 2 7. Capacitance, Delay and Sizing. Mark Redekopp
2-7.1 Spiral 2 7 Capacitance, Delay and Sizing Mark Redekopp 2-7.2 Learning Outcomes I understand the sources of capacitance in CMOS circuits I understand how delay scales with resistance, capacitance
More informationEE115C Digital Electronic Circuits Homework #4
EE115 Digital Electronic ircuits Homework #4 Problem 1 Power Dissipation Solution Vdd =1.0V onsider the source follower circuit used to drive a load L =20fF shown above. M1 and M2 are both NMOS transistors
More informationEEC 118 Lecture #5: CMOS Inverter AC Characteristics. Rajeevan Amirtharajah University of California, Davis Jeff Parkhurst Intel Corporation
EEC 8 Lecture #5: CMOS Inverter AC Characteristics Rajeevan Amirtharajah University of California, Davis Jeff Parkhurst Intel Corporation Acknowledgments Slides due to Rajit Manohar from ECE 547 Advanced
More informationPractice 3: Semiconductors
Practice 3: Semiconductors Digital Electronic Circuits Semester A 2012 VLSI Fabrication Process VLSI Very Large Scale Integration The ability to fabricate many devices on a single substrate within a given
More informationLecture 6: DC & Transient Response
Lecture 6: DC & Transient Response Slides courtesy of Deming Chen Slides based on the initial set from David Harris CMOS VLSI Design Outline Pass Transistors DC Response Logic Levels and Noise Margins
More information9/18/2008 GMU, ECE 680 Physical VLSI Design
ECE680: Physical VLSI Design Chapter III CMOS Device, Inverter, Combinational circuit Logic and Layout Part 3 Combinational Logic Gates (textbook chapter 6) 9/18/2008 GMU, ECE 680 Physical VLSI Design
More informationEE115C Digital Electronic Circuits Homework #6
Problem 1 Sizing of adder blocks Electrical Engineering Department Spring 2010 EE115C Digital Electronic Circuits Homework #6 Solution Figure 1: Mirror adder. Study the mirror adder cell (textbook, pages
More informationEEE 421 VLSI Circuits
EEE 421 CMOS Properties Full rail-to-rail swing high noise margins» Logic levels not dependent upon the relative device sizes transistors can be minimum size ratioless Always a path to V dd or GND in steady
More informationLecture 5: DC & Transient Response
Lecture 5: DC & Transient Response Outline Pass Transistors DC Response Logic Levels and Noise Margins Transient Response RC Delay Models Delay Estimation 2 Pass Transistors We have assumed source is grounded
More informationL ECE 4211 UConn F. Jain Scaling Laws for NanoFETs Chapter 10 Logic Gate Scaling
L13 04202017 ECE 4211 UConn F. Jain Scaling Laws for NanoFETs Chapter 10 Logic Gate Scaling Scaling laws: Generalized scaling (GS) p. 610 Design steps p.613 Nanotransistor issues (page 626) Degradation
More informationDC and Transient Responses (i.e. delay) (some comments on power too!)
DC and Transient Responses (i.e. delay) (some comments on power too!) Michael Niemier (Some slides based on lecture notes by David Harris) 1 Lecture 02 - CMOS Transistor Theory & the Effects of Scaling
More informationVLSI GATE LEVEL DESIGN UNIT - III P.VIDYA SAGAR ( ASSOCIATE PROFESSOR) Department of Electronics and Communication Engineering, VBIT
VLSI UNIT - III GATE LEVEL DESIGN P.VIDYA SAGAR ( ASSOCIATE PROFESSOR) contents GATE LEVEL DESIGN : Logic Gates and Other complex gates, Switch logic, Alternate gate circuits, Time Delays, Driving large
More informationand V DS V GS V T (the saturation region) I DS = k 2 (V GS V T )2 (1+ V DS )
ECE 4420 Spring 2005 Page 1 FINAL EXAMINATION NAME SCORE /100 Problem 1O 2 3 4 5 6 7 Sum Points INSTRUCTIONS: This exam is closed book. You are permitted four sheets of notes (three of which are your sheets
More informationIntegrated Circuits & Systems
Federal University of Santa Catarina Center for Technology Computer Science & Electronics Engineering Integrated Circuits & Systems INE 5442 Lecture 2 Quality Metrics of Digital Design guntzel@inf.ufsc.br
More informationMidterm. ESE 570: Digital Integrated Circuits and VLSI Fundamentals. Lecture Outline. Pass Transistor Logic. Restore Output.
ESE 570: Digital Integrated Circuits and VLSI Fundamentals Lec 16: March 21, 2017 Transmission Gates, Euler Paths, Energy Basics Review Midterm! Midterm " Mean: 79.5 " Standard Dev: 14.5 2 Lecture Outline!
More informationName: Grade: Q1 Q2 Q3 Q4 Q5 Total. ESE370 Fall 2015
University of Pennsylvania Department of Electrical and System Engineering Circuit-Level Modeling, Design, and Optimization for Digital Systems ESE370, Fall 205 Midterm Wednesday, November 4 Point values
More informationEE5780 Advanced VLSI CAD
EE5780 Advanced VLSI CAD Lecture 4 DC and Transient Responses, Circuit Delays Zhuo Feng 4.1 Outline Pass Transistors DC Response Logic Levels and Noise Margins Transient Response RC Delay Models Delay
More informationESE 570: Digital Integrated Circuits and VLSI Fundamentals
ESE 570: Digital Integrated Circuits and VLSI Fundamentals Lec 15: March 15, 2018 Euler Paths, Energy Basics and Optimization Midterm! Midterm " Mean: 89.7 " Standard Dev: 8.12 2 Lecture Outline! Euler
More informationEE141. Administrative Stuff
-Spring 2004 Digital Integrated ircuits Lecture 15 Logical Effort Pass Transistor Logic 1 dministrative Stuff First (short) project to be launched next Th. Overall span: 1 week Hardware lab this week Hw
More informationVLSI Design and Simulation
VLSI Design and Simulation CMOS Inverters Topics Inverter VTC Noise Margin Static Load Inverters CMOS Inverter First-Order DC Analysis R p V OL = 0 V OH = R n =0 = CMOS Inverter: Transient Response R p
More informationMOS Transistor Theory
CHAPTER 3 MOS Transistor Theory Outline 2 1. Introduction 2. Ideal I-V Characteristics 3. Nonideal I-V Effects 4. C-V Characteristics 5. DC Transfer Characteristics 6. Switch-level RC Delay Models MOS
More informationLecture 11 VTCs and Delay. No lab today, Mon., Tues. Labs restart next week. Midterm #1 Tues. Oct. 7 th, 6:30-8:00pm in 105 Northgate
EE4-Fall 2008 Digital Integrated Circuits Lecture VTCs and Delay Lecture # Announcements No lab today, Mon., Tues. Labs restart next week Midterm # Tues. Oct. 7 th, 6:30-8:00pm in 05 Northgate Exam is
More informationLecture 13 MOSFET as an amplifier with an introduction to MOSFET small-signal model and small-signal schematics. Lena Peterson
Lecture 13 MOSFET as an amplifier with an introduction to MOSFET small-signal model and small-signal schematics Lena Peterson 2015-10-13 Outline (1) Why is the CMOS inverter gain not infinite? Large-signal
More informationDC and Transient. Courtesy of Dr. Daehyun Dr. Dr. Shmuel and Dr.
DC and Transient Courtesy of Dr. Daehyun Lim@WSU, Dr. Harris@HMC, Dr. Shmuel Wimer@BIU and Dr. Choi@PSU http://csce.uark.edu +1 (479) 575-604 yrpeng@uark.edu Pass Transistors We have assumed source is
More informationEE213, Spr 2017 HW#3 Due: May 17 th, in class. Figure 1
RULES: Please try to work on your own. Discussion is permissible, but identical submissions are unacceptable! Please show all intermediate steps: a correct solution without an explanation will get zero
More informationΗΜΥ 307 ΨΗΦΙΑΚΑ ΟΛΟΚΛΗΡΩΜΕΝΑ ΚΥΚΛΩΜΑΤΑ Εαρινό Εξάμηνο 2018
ΗΜΥ 307 ΨΗΦΙΑΚΑ ΟΛΟΚΛΗΡΩΜΕΝΑ ΚΥΚΛΩΜΑΤΑ Εαρινό Εξάμηνο 2018 ΔΙΑΛΕΞΗ 11: Dynamic CMOS Circuits ΧΑΡΗΣ ΘΕΟΧΑΡΙΔΗΣ (ttheocharides@ucy.ac.cy) (ack: Prof. Mary Jane Irwin and Vijay Narayanan) [Προσαρμογή από
More informationUNIVERSITY OF CALIFORNIA, BERKELEY College of Engineering Department of Electrical Engineering and Computer Sciences
UNIVERSITY OF CALIFORNIA, BERKELEY College of Engineering Department of Electrical Engineering and Computer Sciences Elad Alon Homework #2 - Solutions EECS141 Due Thursday, September 10, 5pm, box in 240
More informationECE 342 Electronic Circuits. 3. MOS Transistors
ECE 342 Electronic Circuits 3. MOS Transistors Jose E. Schutt-Aine Electrical & Computer Engineering University of Illinois jschutt@emlab.uiuc.edu 1 NMOS Transistor Typically L = 0.1 to 3 m, W = 0.2 to
More informationDigital Integrated Circuits A Design Perspective
Designing ombinational Logic ircuits dapted from hapter 6 of Digital Integrated ircuits Design Perspective Jan M. Rabaey et al. opyright 2003 Prentice Hall/Pearson 1 ombinational vs. Sequential Logic In
More informationLecture 12 CMOS Delay & Transient Response
EE 471: Transport Phenomena in Solid State Devices Spring 2018 Lecture 12 CMOS Delay & Transient Response Bryan Ackland Department of Electrical and Computer Engineering Stevens Institute of Technology
More informationLecture 7 Circuit Delay, Area and Power
Lecture 7 Circuit Delay, Area and Power lecture notes from S. Mitra Intro VLSI System course (EE271) Introduction to VLSI Systems 1 Circuits and Delay Introduction to VLSI Systems 2 Power, Delay and Area:
More informationImportant! EE141- Fall 2002 Lecture 5. CMOS Inverter MOS Transistor Model
- Fall 00 Lecture 5 CMO Inverter MO Transistor Model Important! Lab 3 this week You must show up in one of the lab sessions this week If you don t show up you will be dropped from the class» Unless you
More informationEEC 118 Lecture #6: CMOS Logic. Rajeevan Amirtharajah University of California, Davis Jeff Parkhurst Intel Corporation
EEC 118 Lecture #6: CMOS Logic Rajeevan mirtharajah University of California, Davis Jeff Parkhurst Intel Corporation nnouncements Quiz 1 today! Lab 2 reports due this week Lab 3 this week HW 3 due this
More informationCSE493/593. Designing for Low Power
CSE493/593 Designing for Low Power Mary Jane Irwin [Adapted from Rabaey s Digital Integrated Circuits, 2002, J. Rabaey et al.].1 Why Power Matters Packaging costs Power supply rail design Chip and system
More informationUniversity of Pennsylvania Department of Electrical Engineering. ESE 570 Midterm Exam March 14, 2013 FORMULAS AND DATA
University of Pennsylvania Department of Electrical Engineering ESE 570 Midterm Exam March 4, 03 FORMULAS AND DATA. PHYSICAL CONSTANTS: n i = intrinsic concentration undoped) silicon =.45 x 0 0 cm -3 @
More informationElad Alon Homework #2 EECS141 Due Thursday, September 9, 5pm, box in 240 Cory
UNIVERSITY OF CALIFORNIA, BERKELEY College of Engineering Department of Electrical Engineering and Computer Sciences Elad Alon Homework #2 EECS141 Due Thursday, September 9, 5pm, box in 240 Cory PROBLEM
More informationMOSFET and CMOS Gate. Copy Right by Wentai Liu
MOSFET and CMOS Gate CMOS Inverter DC Analysis - Voltage Transfer Curve (VTC) Find (1) (2) (3) (4) (5) (6) V OH min, V V OL min, V V IH min, V V IL min, V OHmax OLmax IHmax ILmax NM L = V ILmax V OL max
More informationLecture 4: CMOS Transistor Theory
Introduction to CMOS VLSI Design Lecture 4: CMOS Transistor Theory David Harris, Harvey Mudd College Kartik Mohanram and Steven Levitan University of Pittsburgh Outline q Introduction q MOS Capacitor q
More informationEEC 116 Lecture #5: CMOS Logic. Rajeevan Amirtharajah Bevan Baas University of California, Davis Jeff Parkhurst Intel Corporation
EEC 116 Lecture #5: CMOS Logic Rajeevan mirtharajah Bevan Baas University of California, Davis Jeff Parkhurst Intel Corporation nnouncements Quiz 1 today! Lab 2 reports due this week Lab 3 this week HW
More informationLecture 12 Digital Circuits (II) MOS INVERTER CIRCUITS
Lecture 12 Digital Circuits (II) MOS INVERTER CIRCUITS Outline NMOS inverter with resistor pull-up The inverter NMOS inverter with current-source pull-up Complementary MOS (CMOS) inverter Static analysis
More informationUsing MOS Models. C.K. Ken Yang UCLA Courtesy of MAH EE 215B
Using MOS Models C.K. Ken Yang UCLA yangck@ucla.edu Courtesy of MAH 1 Overview Reading Rabaey 5.4 W&H 4.2 Background In the past two lectures we have reviewed the iv and CV curves for MOS devices, both
More informationDC & Transient Responses
ECEN454 Digital Integrated Circuit Design DC & Transient Responses ECEN 454 DC Response DC Response: vs. for a gate Ex: Inverter When = -> = When = -> = In between, depends on transistor size and current
More informationMOS Transistor Theory
MOS Transistor Theory So far, we have viewed a MOS transistor as an ideal switch (digital operation) Reality: less than ideal EE 261 Krish Chakrabarty 1 Introduction So far, we have treated transistors
More informationLecture 2: CMOS technology. Energy-aware computing
Energy-Aware Computing Lecture 2: CMOS technology Basic components Transistors Two types: NMOS, PMOS Wires (interconnect) Transistors as switches Gate Drain Source NMOS: When G is @ logic 1 (actually over
More information