Active Frequency Filters with High Attenuation Rate

Size: px
Start display at page:

Download "Active Frequency Filters with High Attenuation Rate"

Transcription

1 Active Frequency Filters with High Attenuation Rate High Performance Second Generation Current Conveyor Vratislav Michal Geoffroy Klisnick, Gérard Sou, Michel Redon, Jiří Sedláček DTEEE - Brno University of Technology (Brno, Czech Republic) LGEP-Supélec L2E UPMC (Paris, France) ISCAS - Paris, June 2 nd 21

2 Motivation CCII- biquadratic section High-performance CCII 3/16 I. Motivation

3 Motivation CCII- biquadratic section High-performance CCII 3/16 Real-world frequency filters Non-ideal passive components: f,q inaccuracy, higher order effects, can be compensated [*] Non-ideal active components f,q inaccuracy, DC offset, attenuation N [db] db/dec f Z 4 log F -4dB/dec 2dB/dec db/dec triple zero double zero Parasitic zeros can not be compensated by predistortion [**] F Effect of parasitic zeros in the AC response of frequency filter f Z [*] Geffe, P. R., IEEE Trans., Vol. CAS-23, pp.45-55, 1976 [**] Schmid, H. Moschytz, G.S, Circuits and Systems, vol.1, 1998, p

4 Motivation CCII- biquadratic section High-performance CCII 4/16 High-order filters Cascade realization db 2 nd order ( s+ a1 Ω1) ( s +Ω ) 1 2 Ω2 2 a2 s + b2 s+ c2 Ω2 Q2 2 Ω 2 2 s + s+ω2 Q2 2 Ω 2 n an s + bn s+ c Ω 2 n Qn 2 Ω n 2 s + s+ωn Qn -2 db -4 db 4 th order 6 th order Non-cascade (FNDR realization) 2 LM741 f (a.u.) f z 1 2π GBW 2π C R Using low quality active block require high filter order to attain high attenuation rate [*] V. Michal et al. Non-ideal performance of active biquadratic filter blocks. Speto int conference (26) [**] V. Michal et al. Active filters based on goal-directed lossy RLC prototypes, Speto int conference (26)

5 Motivation CCII- biquadratic section High-performance CCII 5/16 Example: real Sallen-Key filter -2 LP Sallen-Key biquad [*] -4 I C Parasitic zero occurs at : f Z = 1 2π GBW 3 2π R RCC parasitic transfer zeros in the stopband [*] Sallen.R.P-Key.E.I., Circuit Theory. Vol

6 Motivation CCII- biquadratic section High-performance CCII 6/16 Real Sallen-Key: parasitic zero removal f Z (2) 1 2 π A ω CR 1 P OUT reduced order of the root, only R out and C 1 contribute to the frequency Higher attenuation Improved Type II Sallen-Key f 4 log f Z1 Z Comparison of v OUT1 and v OUT Impedance level (C 1 )scaling V. Michal et al. Low-pass biquadratic filters with high suppression rate, Electronics Letters, Volume 45, Issue 12, p (29)

7 Motivation CCII- biquadratic section High-performance CCII 7/16 III.1 CCII biquadratic section

8 Motivation CCII- biquadratic section High-performance CCII 8/16 Proposed solutions Removal of the parasitic zeros ensures constant -4dB roll-off off Division of the frequency band in two regions: Region up to f, where the DC transfer and resonance gain are ensured by the active element Stop-band region, where the high attenuation is ensured by the passive RC filter Design rules: Interruption of direct signal way, Passive filters containing grounded capacitors Adopted solution: topological transformation of circuits presented in [*] [*] Liu, S-I., Tsao,H-W; Wu,J., Tsay, J-H. "Realizations of the single CCII biquads with high input impedance", IEEE Symposium on Circuits and Systems, 1991.

9 Motivation CCII- biquadratic section High-performance CCII 9/16 New biquadratic section CCII- f = 2π 1 RRCC R CC 1 R Q = = R C 1 1+ C2 2 R1 C1= C2-2 CCII- low-pass biquadratic section with eliminated parasitic transfer zero Stop band behavior (single pole model of CCII): 2 Ω H() s = 2 2 ( s + s Ω Q +Ω ) ( ωp A + s) ( 1 ) A ( ωp +α + s) measured AC response of 1MHz 4 th order LP filter V. Michal et al. Low-pass biquadratic filters with high suppression rate, Electronics Letters, Volume 45, Issue 12, p (29)

10 Motivation CCII- biquadratic section High-performance CCII 1/16 Summary of achieved features 2 F : 1.5M 5M 1M 2M 5M The attenuation is only limited by signal leakage N [db] Does not depend on the f -2 Using low-performance voltage buffer is allowed -4 2 nd cascade FDNR LP Direct connection to the DAC input -6 1k 5 1M 1 6 1M 7 1M 8 5M f [Hz] Attenuation floor independent of the f. comparison with lossy R-FDNR biquad [*] price and power consumption are reduced [*] Martinek, P. Radioelek, 26

11 Motivation CCII- biquadratic section High-performance CCII 11/16 III.2 High performance CCII current conveyor

12 Motivation CCII- biquadratic section High-performance CCII 12/16 CCII- with very low output resistance voltage buffer r out vout 2 r2 + 1 = = i r g + r r g g + g out 2 mf 1 2 mo m m Design of low-r out CCIIsimplified small signal model 2 r g 1 mo g m Hassan O. et al, Circuit and Systems II, Vol. 49 (22)

13 Motivation CCII- biquadratic section High-performance CCII 13/16 Performances: state-of of-the-art R out [Ω] 1 2Ω Simulated Measured 2.5Ω 8.3Ω mΩ V DD +/- 2.5V Quiescence current 11 ma Port X,Z voltage swing +/- 1.5 V Port X,Z driving capacity +/- 2 ma Port Z DC impedance ~7.5 MΩ Port X offset voltage 2.7 mv Port Z offset current 2.25 µa -3dB AC transfer Y X ~11 MHz Summary of achieved performances.1 1 1k 3 1k 4 1k 5 1 1M 6 1M 7 1M 8 f [Hz] Recently published results on UVC [*]: terminal 1kHz 1MHz 1MHz z+ 2.1Ω 1Ω 89Ω z-.9ω 8.2Ω 76kΩ [*] Minarcik,M., Vrba,K. ICN'7

14 Motivation CCII- biquadratic section High-performance CCII 14/16 Experimental result: 1.5MHz LPF 5 th order LP filter (Butterworth) using new CCII biquadratic sections Characteristic of 1.5 MHz 5 th order LP filter

15 Motivation CCII- biquadratic section High-performance CCII 15/16 Test Facility

16 Motivation CCII- biquadratic section High-performance CCII 16/16 Thank you DTEEE - Brno University of Technology (Brno, Czech Republic) LGEP-Supéléc L2E UPMC (Paris, France)

OPERATIONAL AMPLIFIER APPLICATIONS

OPERATIONAL AMPLIFIER APPLICATIONS OPERATIONAL AMPLIFIER APPLICATIONS 2.1 The Ideal Op Amp (Chapter 2.1) Amplifier Applications 2.2 The Inverting Configuration (Chapter 2.2) 2.3 The Non-inverting Configuration (Chapter 2.3) 2.4 Difference

More information

Electronic Circuits EE359A

Electronic Circuits EE359A Electronic Circuits EE359A Bruce McNair B26 bmcnair@stevens.edu 21-216-5549 Lecture 22 569 Second order section Ts () = s as + as+ a 2 2 1 ω + s+ ω Q 2 2 ω 1 p, p = ± 1 Q 4 Q 1 2 2 57 Second order section

More information

Electronic Circuits EE359A

Electronic Circuits EE359A Electronic Circuits EE359A Bruce McNair B26 bmcnair@stevens.edu 21-216-5549 Lecture 22 578 Second order LCR resonator-poles V o I 1 1 = = Y 1 1 + sc + sl R s = C 2 s 1 s + + CR LC s = C 2 sω 2 s + + ω

More information

University of Illinois at Chicago Spring ECE 412 Introduction to Filter Synthesis Homework #4 Solutions

University of Illinois at Chicago Spring ECE 412 Introduction to Filter Synthesis Homework #4 Solutions Problem 1 A Butterworth lowpass filter is to be designed having the loss specifications given below. The limits of the the design specifications are shown in the brick-wall characteristic shown in Figure

More information

Electronic Circuits Summary

Electronic Circuits Summary Electronic Circuits Summary Andreas Biri, D-ITET 6.06.4 Constants (@300K) ε 0 = 8.854 0 F m m 0 = 9. 0 3 kg k =.38 0 3 J K = 8.67 0 5 ev/k kt q = 0.059 V, q kt = 38.6, kt = 5.9 mev V Small Signal Equivalent

More information

Homework Assignment 11

Homework Assignment 11 Homework Assignment Question State and then explain in 2 3 sentences, the advantage of switched capacitor filters compared to continuous-time active filters. (3 points) Continuous time filters use resistors

More information

Appendix A Butterworth Filtering Transfer Function

Appendix A Butterworth Filtering Transfer Function Appendix A Butterworth Filtering Transfer Function A.1 Continuous-Time Low-Pass Butterworth Transfer Function In order to obtain the values for the components in a filter, using the circuits transfer function,

More information

EE-202 Exam III April 13, 2015

EE-202 Exam III April 13, 2015 EE-202 Exam III April 3, 205 Name: (Please print clearly.) Student ID: CIRCLE YOUR DIVISION DeCarlo-7:30-8:30 Furgason 3:30-4:30 DeCarlo-:30-2:30 202 2022 2023 INSTRUCTIONS There are 2 multiple choice

More information

EE221 Circuits II. Chapter 14 Frequency Response

EE221 Circuits II. Chapter 14 Frequency Response EE22 Circuits II Chapter 4 Frequency Response Frequency Response Chapter 4 4. Introduction 4.2 Transfer Function 4.3 Bode Plots 4.4 Series Resonance 4.5 Parallel Resonance 4.6 Passive Filters 4.7 Active

More information

Filters and Tuned Amplifiers

Filters and Tuned Amplifiers Filters and Tuned Amplifiers Essential building block in many systems, particularly in communication and instrumentation systems Typically implemented in one of three technologies: passive LC filters,

More information

Switched-Capacitor Circuits David Johns and Ken Martin University of Toronto

Switched-Capacitor Circuits David Johns and Ken Martin University of Toronto Switched-Capacitor Circuits David Johns and Ken Martin University of Toronto (johns@eecg.toronto.edu) (martin@eecg.toronto.edu) University of Toronto 1 of 60 Basic Building Blocks Opamps Ideal opamps usually

More information

EE221 Circuits II. Chapter 14 Frequency Response

EE221 Circuits II. Chapter 14 Frequency Response EE22 Circuits II Chapter 4 Frequency Response Frequency Response Chapter 4 4. Introduction 4.2 Transfer Function 4.3 Bode Plots 4.4 Series Resonance 4.5 Parallel Resonance 4.6 Passive Filters 4.7 Active

More information

EE 508 Lecture 24. Sensitivity Functions - Predistortion and Calibration

EE 508 Lecture 24. Sensitivity Functions - Predistortion and Calibration EE 508 Lecture 24 Sensitivity Functions - Predistortion and Calibration Review from last time Sensitivity Comparisons Consider 5 second-order lowpass filters (all can realize same T(s) within a gain factor)

More information

EE-202 Exam III April 13, 2006

EE-202 Exam III April 13, 2006 EE-202 Exam III April 13, 2006 Name: (Please print clearly) Student ID: CIRCLE YOUR DIVISION DeCarlo 2:30 MWF Furgason 3:30 MWF INSTRUCTIONS There are 10 multiple choice worth 5 points each and there is

More information

ECE-343 Test 1: Feb 10, :00-8:00pm, Closed Book. Name : SOLUTION

ECE-343 Test 1: Feb 10, :00-8:00pm, Closed Book. Name : SOLUTION ECE-343 Test : Feb 0, 00 6:00-8:00pm, Closed Book Name : SOLUTION C Depl = C J0 + V R /V o ) m C Diff = τ F g m ω T = g m C µ + C π ω T = g m I / D C GD + C or V OV GS b = τ i τ i = R i C i ω H b Z = Z

More information

Time Varying Circuit Analysis

Time Varying Circuit Analysis MAS.836 Sensor Systems for Interactive Environments th Distributed: Tuesday February 16, 2010 Due: Tuesday February 23, 2010 Problem Set # 2 Time Varying Circuit Analysis The purpose of this problem set

More information

Speaker: Arthur Williams Chief Scientist Telebyte Inc. Thursday November 20 th 2008 INTRODUCTION TO ACTIVE AND PASSIVE ANALOG

Speaker: Arthur Williams Chief Scientist Telebyte Inc. Thursday November 20 th 2008 INTRODUCTION TO ACTIVE AND PASSIVE ANALOG INTRODUCTION TO ACTIVE AND PASSIVE ANALOG FILTER DESIGN INCLUDING SOME INTERESTING AND UNIQUE CONFIGURATIONS Speaker: Arthur Williams Chief Scientist Telebyte Inc. Thursday November 20 th 2008 TOPICS Introduction

More information

EE105 Fall 2014 Microelectronic Devices and Circuits

EE105 Fall 2014 Microelectronic Devices and Circuits EE05 Fall 204 Microelectronic Devices and Circuits Prof. Ming C. Wu wu@eecs.berkeley.edu 5 Sutardja Dai Hall (SDH) Terminal Gain and I/O Resistances of BJT Amplifiers Emitter (CE) Collector (CC) Base (CB)

More information

Master Degree in Electronic Engineering. Analog and Telecommunication Electronics course Prof. Del Corso Dante A.Y Switched Capacitor

Master Degree in Electronic Engineering. Analog and Telecommunication Electronics course Prof. Del Corso Dante A.Y Switched Capacitor Master Degree in Electronic Engineering TOP-UIC Torino-Chicago Double Degree Project Analog and Telecommunication Electronics course Prof. Del Corso Dante A.Y. 2013-2014 Switched Capacitor Working Principles

More information

Research Article Current Mode Biquad Filter with Minimum Component Count

Research Article Current Mode Biquad Filter with Minimum Component Count Hindawi Publishing Corporation Active and Passive Electronic Components Volume 2 Article ID 39642 7 pages doi:.55/2/39642 Research Article Current Mode Biquad Filter with Minimum Component Count Bhartendu

More information

ECEN 326 Electronic Circuits

ECEN 326 Electronic Circuits ECEN 326 Electronic Circuits Stability Dr. Aydın İlker Karşılayan Texas A&M University Department of Electrical and Computer Engineering Ideal Configuration V i Σ V ε a(s) V o V fb f a(s) = V o V ε (s)

More information

Op-Amp Circuits: Part 3

Op-Amp Circuits: Part 3 Op-Amp Circuits: Part 3 M. B. Patil mbpatil@ee.iitb.ac.in www.ee.iitb.ac.in/~sequel Department of Electrical Engineering Indian Institute of Technology Bombay Introduction to filters Consider v(t) = v

More information

EE-202 Exam III April 10, 2008

EE-202 Exam III April 10, 2008 EE-202 Exam III April 10, 2008 Name: (Please print clearly) Student ID: CIRCLE YOUR DIVISION Morning 8:30 MWF Afternoon 12:30 MWF INSTRUCTIONS There are 13 multiple choice worth 5 points each and there

More information

ECE3050 Assignment 7

ECE3050 Assignment 7 ECE3050 Assignment 7. Sketch and label the Bode magnitude and phase plots for the transfer functions given. Use loglog scales for the magnitude plots and linear-log scales for the phase plots. On the magnitude

More information

Sophomore Physics Laboratory (PH005/105)

Sophomore Physics Laboratory (PH005/105) CALIFORNIA INSTITUTE OF TECHNOLOGY PHYSICS MATHEMATICS AND ASTRONOMY DIVISION Sophomore Physics Laboratory (PH5/15) Analog Electronics Active Filters Copyright c Virgínio de Oliveira Sannibale, 23 (Revision

More information

ENGN3227 Analogue Electronics. Problem Sets V1.0. Dr. Salman Durrani

ENGN3227 Analogue Electronics. Problem Sets V1.0. Dr. Salman Durrani ENGN3227 Analogue Electronics Problem Sets V1.0 Dr. Salman Durrani November 2006 Copyright c 2006 by Salman Durrani. Problem Set List 1. Op-amp Circuits 2. Differential Amplifiers 3. Comparator Circuits

More information

Today. 1/25/11 Physics 262 Lecture 2 Filters. Active Components and Filters. Homework. Lab 2 this week

Today. 1/25/11 Physics 262 Lecture 2 Filters. Active Components and Filters. Homework. Lab 2 this week /5/ Physics 6 Lecture Filters Today Basics: Analog versus Digital; Passive versus Active Basic concepts and types of filters Passband, Stopband, Cut-off, Slope, Knee, Decibels, and Bode plots Active Components

More information

Research Article Additional High Input Low Output Impedance Analog Networks

Research Article Additional High Input Low Output Impedance Analog Networks Active and Passive Electronic Components Volume 2013, Article ID 574925, 9 pages http://dx.doi.org/10.1155/2013/574925 Research Article Additional High Input Low Output Impedance Analog Networks Sudhanshu

More information

Design and Realization of Fractional Low-Pass Filter of 1.5 Order Using a Single Operational Transresistance Amplifier

Design and Realization of Fractional Low-Pass Filter of 1.5 Order Using a Single Operational Transresistance Amplifier Vol.9, No.9, (2016), pp.69-76 http://dx.doi.org/10.14257/ijsip.2016.9.9.07 Design and Realization of Fractional Low-Pass Filter of 1.5 Order Using a Single Operational Transresistance Amplifier Piyush

More information

( s) N( s) ( ) The transfer function will take the form. = s = 2. giving ωo = sqrt(1/lc) = 1E7 [rad/s] ω 01 := R 1. α 1 2 L 1.

( s) N( s) ( ) The transfer function will take the form. = s = 2. giving ωo = sqrt(1/lc) = 1E7 [rad/s] ω 01 := R 1. α 1 2 L 1. Problem ) RLC Parallel Circuit R L C E-4 E-0 V a. What is the resonant frequency of the circuit? The transfer function will take the form N ( ) ( s) N( s) H s R s + α s + ω s + s + o L LC giving ωo sqrt(/lc)

More information

Homework Assignment 08

Homework Assignment 08 Homework Assignment 08 Question 1 (Short Takes) Two points each unless otherwise indicated. 1. Give one phrase/sentence that describes the primary advantage of an active load. Answer: Large effective resistance

More information

Lecture 37: Frequency response. Context

Lecture 37: Frequency response. Context EECS 05 Spring 004, Lecture 37 Lecture 37: Frequency response Prof J. S. Smith EECS 05 Spring 004, Lecture 37 Context We will figure out more of the design parameters for the amplifier we looked at in

More information

Texas A&M University Department of Electrical and Computer Engineering

Texas A&M University Department of Electrical and Computer Engineering Texas A&M University Department of Electrical and Computer Engineering ECEN 622: Active Network Synthesis Homework #2, Fall 206 Carlos Pech Catzim 72300256 Page of .i) Obtain the transfer function of circuit

More information

Low-Sensitivity, Highpass Filter Design with Parasitic Compensation

Low-Sensitivity, Highpass Filter Design with Parasitic Compensation Low-Sensitivity, Highpass Filter Design with Parasitic Compensation Introduction This Application Note covers the design of a Sallen-Key highpass biquad. This design gives low component and op amp sensitivities.

More information

Deliyannis, Theodore L. et al "Two Integrator Loop OTA-C Filters" Continuous-Time Active Filter Design Boca Raton: CRC Press LLC,1999

Deliyannis, Theodore L. et al Two Integrator Loop OTA-C Filters Continuous-Time Active Filter Design Boca Raton: CRC Press LLC,1999 Deliyannis, Theodore L. et al "Two Integrator Loop OTA-C Filters" Continuous-Time Active Filter Design Boca Raton: CRC Press LLC,1999 Chapter 9 Two Integrator Loop OTA-C Filters 9.1 Introduction As discussed

More information

8. Active Filters - 2. Electronic Circuits. Prof. Dr. Qiuting Huang Integrated Systems Laboratory

8. Active Filters - 2. Electronic Circuits. Prof. Dr. Qiuting Huang Integrated Systems Laboratory 8. Active Filters - 2 Electronic Circuits Prof. Dr. Qiuting Huang Integrated Systems Laboratory Blast From The Past: Algebra of Polynomials * PP xx is a polynomial of the variable xx: PP xx = aa 0 + aa

More information

ESE319 Introduction to Microelectronics. Feedback Basics

ESE319 Introduction to Microelectronics. Feedback Basics Feedback Basics Stability Feedback concept Feedback in emitter follower One-pole feedback and root locus Frequency dependent feedback and root locus Gain and phase margins Conditions for closed loop stability

More information

System on a Chip. Prof. Dr. Michael Kraft

System on a Chip. Prof. Dr. Michael Kraft System on a Chip Prof. Dr. Michael Kraft Lecture 3: Sample and Hold Circuits Switched Capacitor Circuits Circuits and Systems Sampling Signal Processing Sample and Hold Analogue Circuits Switched Capacitor

More information

A LDO Regulator with Weighted Current Feedback Technique for 0.47nF-10nF Capacitive Load

A LDO Regulator with Weighted Current Feedback Technique for 0.47nF-10nF Capacitive Load A LDO Regulator with Weighted Current Feedback Technique for 0.47nF-10nF Capacitive Load Presented by Tan Xiao Liang Supervisor: A/P Chan Pak Kwong School of Electrical and Electronic Engineering 1 Outline

More information

Lecture 120 Filters and Charge Pumps (6/9/03) Page 120-1

Lecture 120 Filters and Charge Pumps (6/9/03) Page 120-1 Lecture 120 Filters and Charge Pumps (6/9/03) Page 1201 LECTURE 120 FILTERS AND CHARGE PUMPS (READING: [4,6,9,10]) Objective The objective of this presentation is examine the circuits aspects of loop filters

More information

Chapter 2 Switched-Capacitor Circuits

Chapter 2 Switched-Capacitor Circuits Chapter 2 Switched-Capacitor Circuits Abstract his chapter introduces SC circuits. A brief description is given for the main building blocks of a SC filter (operational amplifiers, switches, capacitors,

More information

Refinements to Incremental Transistor Model

Refinements to Incremental Transistor Model Refinements to Incremental Transistor Model This section presents modifications to the incremental models that account for non-ideal transistor behavior Incremental output port resistance Incremental changes

More information

E40M. Op Amps. M. Horowitz, J. Plummer, R. Howe 1

E40M. Op Amps. M. Horowitz, J. Plummer, R. Howe 1 E40M Op Amps M. Horowitz, J. Plummer, R. Howe 1 Reading A&L: Chapter 15, pp. 863-866. Reader, Chapter 8 Noninverting Amp http://www.electronics-tutorials.ws/opamp/opamp_3.html Inverting Amp http://www.electronics-tutorials.ws/opamp/opamp_2.html

More information

Stability of Operational amplifiers

Stability of Operational amplifiers Stability o Operational ampliiers Willy Sansen KULeuven, ESAT-MICAS Leuven, Belgium willy.sansen@esat.kuleuven.be Willy Sansen 0-05 05 Table o contents Use o operational ampliiers Stability o 2-stage opamp

More information

Passive RL and RC Filters

Passive RL and RC Filters NDSU Passive RL and RC Filters ECE 3 Passive RL and RC Filters A filter is a system whose gain changes with frequency. Essentially, all dynamic systems are filters. -Stage Low-Pass Filter For the following

More information

ECE 202 Fall 2013 Final Exam

ECE 202 Fall 2013 Final Exam ECE 202 Fall 2013 Final Exam December 12, 2013 Circle your division: Division 0101: Furgason (8:30 am) Division 0201: Bermel (9:30 am) Name (Last, First) Purdue ID # There are 18 multiple choice problems

More information

H(s) = 2(s+10)(s+100) (s+1)(s+1000)

H(s) = 2(s+10)(s+100) (s+1)(s+1000) Problem 1 Consider the following transfer function H(s) = 2(s10)(s100) (s1)(s1000) (a) Draw the asymptotic magnitude Bode plot for H(s). Solution: The transfer function is not in standard form to sketch

More information

UNIVERSITÀ DEGLI STUDI DI CATANIA. Dottorato di Ricerca in Ingegneria Elettronica, Automatica e del Controllo di Sistemi Complessi, XXII ciclo

UNIVERSITÀ DEGLI STUDI DI CATANIA. Dottorato di Ricerca in Ingegneria Elettronica, Automatica e del Controllo di Sistemi Complessi, XXII ciclo UNIVERSITÀ DEGLI STUDI DI CATANIA DIPARTIMENTO DI INGEGNERIA ELETTRICA, ELETTRONICA E DEI SISTEMI Dottorato di Ricerca in Ingegneria Elettronica, Automatica e del Controllo di Sistemi Complessi, XXII ciclo

More information

Lecture 46 Bode Plots of Transfer Functions:II A. Low Q Approximation for Two Poles w o

Lecture 46 Bode Plots of Transfer Functions:II A. Low Q Approximation for Two Poles w o Lecture 46 Bode Plots of Transfer Functions:II A. Low Q Approximation for Two Poles w o ----------- ----------- w L =Q - w o πf o w h =Qw o w L ~ RC w h w L f(l) w h f(c) B. Construction from T(s) Asymptotes

More information

AN6783S. IC for long interval timer. ICs for Timer. Overview. Features. Applications. Block Diagram

AN6783S. IC for long interval timer. ICs for Timer. Overview. Features. Applications. Block Diagram IC for long interval timer Overview The is an IC designed for a long interval timer. It is oscillated by using the external resistor and capacitor, and the oscillation frequency divided by a - stage F.F.

More information

Chapter 8: Converter Transfer Functions

Chapter 8: Converter Transfer Functions Chapter 8. Converter Transfer Functions 8.1. Review of Bode plots 8.1.1. Single pole response 8.1.2. Single zero response 8.1.3. Right half-plane zero 8.1.4. Frequency inversion 8.1.5. Combinations 8.1.6.

More information

DESIGN OF CMOS ANALOG INTEGRATED CIRCUITS

DESIGN OF CMOS ANALOG INTEGRATED CIRCUITS DESIGN OF CMOS ANALOG INTEGRATED CIRCUITS Franco Maloberti Integrated Microsistems Laboratory University of Pavia Continuous Time and Switched Capacitor Filters F. Maloberti: Design of CMOS Analog Integrated

More information

EE 508 Lecture 4. Filter Concepts/Terminology Basic Properties of Electrical Circuits

EE 508 Lecture 4. Filter Concepts/Terminology Basic Properties of Electrical Circuits EE 58 Lecture 4 Filter Concepts/Terminology Basic Properties of Electrical Circuits Review from Last Time Filter Design Process Establish Specifications - possibly T D (s) or H D (z) - magnitude and phase

More information

Analog Circuits and Systems

Analog Circuits and Systems Analog Circuits and Systems Prof. K Radhakrishna Rao Lecture 27: State Space Filters 1 Review Q enhancement of passive RC using negative and positive feedback Effect of finite GB of the active device on

More information

Systematic Design of Operational Amplifiers

Systematic Design of Operational Amplifiers Systematic Design of Operational Amplifiers Willy Sansen KULeuven, ESAT-MICAS Leuven, Belgium willy.sansen@esat.kuleuven.be Willy Sansen 10-05 061 Table of contents Design of Single-stage OTA Design of

More information

Homework Assignment 09

Homework Assignment 09 Homework Assignment 09 Question 1 (Short Takes) Two points each unless otherwise indicated. 1. What is the 3-dB bandwidth of the amplifier shown below if r π = 2.5K, r o = 100K, g m = 40 ms, and C L =

More information

EECS 105: FALL 06 FINAL

EECS 105: FALL 06 FINAL University of California College of Engineering Department of Electrical Engineering and Computer Sciences Jan M. Rabaey TuTh 2-3:30 Wednesday December 13, 12:30-3:30pm EECS 105: FALL 06 FINAL NAME Last

More information

Design of Narrow Band Filters Part 2

Design of Narrow Band Filters Part 2 E.U.I.T. Telecomunicación 200, Madrid, Spain, 27.09 30.09.200 Design of Narrow Band Filters Part 2 Thomas Buch Institute of Communications Engineering University of Rostock Th. Buch, Institute of Communications

More information

Miniature Electronically Trimmable Capacitor V DD. Maxim Integrated Products 1

Miniature Electronically Trimmable Capacitor V DD. Maxim Integrated Products 1 19-1948; Rev 1; 3/01 Miniature Electronically Trimmable Capacitor General Description The is a fine-line (geometry) electronically trimmable capacitor (FLECAP) programmable through a simple digital interface.

More information

Advanced Current Mirrors and Opamps

Advanced Current Mirrors and Opamps Advanced Current Mirrors and Opamps David Johns and Ken Martin (johns@eecg.toronto.edu) (martin@eecg.toronto.edu) slide 1 of 26 Wide-Swing Current Mirrors I bias I V I in out out = I in V W L bias ------------

More information

University of Pennsylvania Department of Electrical and Systems Engineering ESE 319 Microelectronic Circuits. Final Exam 10Dec08 SOLUTIONS

University of Pennsylvania Department of Electrical and Systems Engineering ESE 319 Microelectronic Circuits. Final Exam 10Dec08 SOLUTIONS University of Pennsylvania Department of Electrical and Systems Engineering ESE 319 Microelectronic Circuits Final Exam 10Dec08 SOLUTIONS This exam is a closed book exam. Students are allowed to use a

More information

ECE-343 Test 2: Mar 21, :00-8:00, Closed Book. Name : SOLUTION

ECE-343 Test 2: Mar 21, :00-8:00, Closed Book. Name : SOLUTION ECE-343 Test 2: Mar 21, 2012 6:00-8:00, Closed Book Name : SOLUTION 1. (25 pts) (a) Draw a circuit diagram for a differential amplifier designed under the following constraints: Use only BJTs. (You may

More information

EE-202 Exam III April 15, 2010

EE-202 Exam III April 15, 2010 EE-0 Exam III April 5, 00 Name: SOLUTION (No period) (Please print clearly) Student ID: CIRCLE YOUR DIVISION Morning 8:30 MWF Afternoon 3:30 MWF INSTRUCTIONS There are 9 multiple choice worth 5 points

More information

2nd-order filters. EE 230 second-order filters 1

2nd-order filters. EE 230 second-order filters 1 nd-order filters Second order filters: Have second order polynomials in the denominator of the transfer function, and can have zeroth-, first-, or second-order polyinomials in the numerator. Use two reactive

More information

Generation of Four Phase Oscillators Using Op Amps or Current Conveyors

Generation of Four Phase Oscillators Using Op Amps or Current Conveyors J. of Active and Passive Electronic Devices, Vol. 0, pp. 207 22 Reprints available directly from the publisher Photocopying permitted by license only 205 Old City Publishing, Inc. Published by license

More information

Lecture 6, ATIK. Switched-capacitor circuits 2 S/H, Some nonideal effects Continuous-time filters

Lecture 6, ATIK. Switched-capacitor circuits 2 S/H, Some nonideal effects Continuous-time filters Lecture 6, ATIK Switched-capacitor circuits 2 S/H, Some nonideal effects Continuous-time filters What did we do last time? Switched capacitor circuits The basics Charge-redistribution analysis Nonidealties

More information

3. Basic building blocks. Analog Design for CMOS VLSI Systems Franco Maloberti

3. Basic building blocks. Analog Design for CMOS VLSI Systems Franco Maloberti Inverter with active load It is the simplest gain stage. The dc gain is given by the slope of the transfer characteristics. Small signal analysis C = C gs + C gs,ov C 2 = C gd + C gd,ov + C 3 = C db +

More information

IN SPITE of the large variety of available modern filter

IN SPITE of the large variety of available modern filter IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II: ANALOG AND DIGITAL SIGNAL PROCESSING, VOL. 46, NO. 8, AUGUST 1999 1009 Low-Sensitivity, Low-Power Active-RC Allpole Filters Using Impedance Tapering George

More information

Microelectronic Circuit Design 4th Edition Errata - Updated 4/4/14

Microelectronic Circuit Design 4th Edition Errata - Updated 4/4/14 Chapter Text # Inside back cover: Triode region equation should not be squared! i D = K n v GS "V TN " v & DS % ( v DS $ 2 ' Page 49, first exercise, second answer: -1.35 x 10 6 cm/s Page 58, last exercise,

More information

Exercise s = 1. cos 60 ± j sin 60 = 0.5 ± j 3/2. = s 2 + s + 1. (s + 1)(s 2 + s + 1) T(jω) = (1 + ω2 )(1 ω 2 ) 2 + ω 2 (1 + ω 2 )

Exercise s = 1. cos 60 ± j sin 60 = 0.5 ± j 3/2. = s 2 + s + 1. (s + 1)(s 2 + s + 1) T(jω) = (1 + ω2 )(1 ω 2 ) 2 + ω 2 (1 + ω 2 ) Exercise 7 Ex: 7. A 0 log T [db] T 0.99 0.9 0.8 0.7 0.5 0. 0 A 0 0. 3 6 0 Ex: 7. A max 0 log.05 0 log 0.95 0.9 db [ ] A min 0 log 40 db 0.0 Ex: 7.3 s + js j Ts k s + 3 + j s + 3 j s + 4 k s + s + 4 + 3

More information

EE-202 Exam III April 6, 2017

EE-202 Exam III April 6, 2017 EE-202 Exam III April 6, 207 Name: (Please print clearly.) Student ID: CIRCLE YOUR DIVISION DeCarlo--202 DeCarlo--2022 7:30 MWF :30 T-TH INSTRUCTIONS There are 3 multiple choice worth 5 points each and

More information

Second-order filters. EE 230 second-order filters 1

Second-order filters. EE 230 second-order filters 1 Second-order filters Second order filters: Have second order polynomials in the denominator of the transfer function, and can have zeroth-, first-, or second-order polynomials in the numerator. Use two

More information

Sallen-Key Low Pass Filter Design Routine

Sallen-Key Low Pass Filter Design Routine Sallen-Key Low Pass Filter Design Routine v v x i v R o C R C G V noa Fig. : Single-ended Sallen-Key filter Note: This routine is a reduction of a more complex version. This reduction is still taking place,

More information

CMOS Cross Section. EECS240 Spring Dimensions. Today s Lecture. Why Talk About Passives? EE240 Process

CMOS Cross Section. EECS240 Spring Dimensions. Today s Lecture. Why Talk About Passives? EE240 Process EECS240 Spring 202 CMOS Cross Section Metal p - substrate p + diffusion Lecture 2: CMOS Technology and Passive Devices Poly n - well n + diffusion Elad Alon Dept. of EECS EECS240 Lecture 2 4 Today s Lecture

More information

Assignment 3 ELEC 312/Winter 12 R.Raut, Ph.D.

Assignment 3 ELEC 312/Winter 12 R.Raut, Ph.D. Page 1 of 3 ELEC 312: ELECTRONICS II : ASSIGNMENT-3 Department of Electrical and Computer Engineering Winter 2012 1. A common-emitter amplifier that can be represented by the following equivalent circuit,

More information

RLC Series Circuit. We can define effective resistances for capacitors and inductors: 1 = Capacitive reactance:

RLC Series Circuit. We can define effective resistances for capacitors and inductors: 1 = Capacitive reactance: RLC Series Circuit In this exercise you will investigate the effects of changing inductance, capacitance, resistance, and frequency on an RLC series AC circuit. We can define effective resistances for

More information

EE 508 Lecture 22. Sensitivity Functions - Comparison of Circuits - Predistortion and Calibration

EE 508 Lecture 22. Sensitivity Functions - Comparison of Circuits - Predistortion and Calibration EE 58 Lecture Sensitivity Functions - Comparison of Circuits - Predistortion and Calibration Review from last time Sensitivity Comparisons Consider 5 second-order lowpass filters (all can realize same

More information

Feedback design for the Buck Converter

Feedback design for the Buck Converter Feedback design for the Buck Converter Portland State University Department of Electrical and Computer Engineering Portland, Oregon, USA December 30, 2009 Abstract In this paper we explore two compensation

More information

Lecture 090 Multiple Stage Frequency Response - I (1/17/02) Page 090-1

Lecture 090 Multiple Stage Frequency Response - I (1/17/02) Page 090-1 Lecture 9 Multiple Stage Frequency esponse I (/7/2) Page 9 LECTUE 9 MULTIPLESTAGE FEQUENCY ESPONSE I (EADING: GHLM 56527) Objective The objective of this presentation is:.) Develop methods for the frequency

More information

Advantages of Using CMOS

Advantages of Using CMOS Advantages of Using CMOS Compact (shared diffusion regions) Very low static power dissipation High noise margin (nearly ideal inverter voltage transfer characteristic) Very well modeled and characterized

More information

Switched Capacitor Filters (SCF)

Switched Capacitor Filters (SCF) Switched apacitor Filters SF) Passive Filters omponents are R, L, Big, Heavy, discrete Inductors are limited in quality Designed in sdomain Active R filters omponents are Opamps, OTAs, R s and s an be

More information

EECS240 Spring Today s Lecture. Lecture 2: CMOS Technology and Passive Devices. Lingkai Kong EECS. EE240 CMOS Technology

EECS240 Spring Today s Lecture. Lecture 2: CMOS Technology and Passive Devices. Lingkai Kong EECS. EE240 CMOS Technology EECS240 Spring 2013 Lecture 2: CMOS Technology and Passive Devices Lingkai Kong EECS Today s Lecture EE240 CMOS Technology Passive devices Motivation Resistors Capacitors (Inductors) Next time: MOS transistor

More information

Electronics II. Final Examination

Electronics II. Final Examination The University of Toledo f17fs_elct27.fm 1 Electronics II Final Examination Problems Points 1. 11 2. 14 3. 15 Total 40 Was the exam fair? yes no The University of Toledo f17fs_elct27.fm 2 Problem 1 11

More information

Electronics II. Midterm II

Electronics II. Midterm II The University of Toledo f4ms_elct7.fm - Section Electronics II Midterm II Problems Points. 7. 7 3. 6 Total 0 Was the exam fair? yes no The University of Toledo f4ms_elct7.fm - Problem 7 points Given in

More information

Prof. D. Manstretta LEZIONI DI FILTRI ANALOGICI. Danilo Manstretta AA

Prof. D. Manstretta LEZIONI DI FILTRI ANALOGICI. Danilo Manstretta AA AA-3 LEZIONI DI FILTI ANALOGICI Danilo Manstretta AA -3 AA-3 High Order OA-C Filters H() s a s... a s a s a n s b s b s b s b n n n n... The goal of this lecture is to learn how to design high order OA-C

More information

Circuit Topologies & Analysis Techniques in HF ICs

Circuit Topologies & Analysis Techniques in HF ICs Circuit Topologies & Analysis Techniques in HF ICs 1 Outline Analog vs. Microwave Circuit Design Impedance matching Tuned circuit topologies Techniques to maximize bandwidth Challenges in differential

More information

Experiment 9 Equivalent Circuits

Experiment 9 Equivalent Circuits Experiment 9 Equivalent Circuits Name: Jason Johnson Course/Section: ENGR 361-04 Date Performed: November 15, 2001 Date Submitted: November 29, 2001 In keeping with the honor code of the School of Engineering,

More information

Realization of Tunable Pole-Q Current-Mode OTA-C Universal Filter

Realization of Tunable Pole-Q Current-Mode OTA-C Universal Filter Circuits Syst Signal Process (2010) 29: 913 924 DOI 10.1007/s00034-010-9189-1 Realization of Tunable Pole-Q Current-Mode OTA-C Universal Filter Pipat Prommee Thanate Pattanatadapong Received: 23 February

More information

Common Drain Stage (Source Follower) Claudio Talarico, Gonzaga University

Common Drain Stage (Source Follower) Claudio Talarico, Gonzaga University Common Drain Stage (Source Follower) Claudio Talarico, Gonzaga University Common Drain Stage v gs v i - v o V DD v bs - v o R S Vv IN i v i G C gd C+C gd gb B&D v s vv OUT o + V S I B R L C L v gs - C

More information

CMOS Comparators. Kyungpook National University. Integrated Systems Lab, Kyungpook National University. Comparators

CMOS Comparators. Kyungpook National University. Integrated Systems Lab, Kyungpook National University. Comparators IsLab Analog Integrated ircuit Design OMP-21 MOS omparators כ Kyungpook National University IsLab Analog Integrated ircuit Design OMP-1 omparators A comparator is used to detect whether a signal is greater

More information

Preamplifier in 0.5µm CMOS

Preamplifier in 0.5µm CMOS A 2.125 Gbaud 1.6kΩ Transimpedance Preamplifier in 0.5µm CMOS Sunderarajan S. Mohan Thomas H. Lee Center for Integrated Systems Stanford University OUTLINE Motivation Shunt-peaked Amplifier Inductor Modeling

More information

UNIVERSITY OF CALIFORNIA College of Engineering Department of Electrical Engineering and Computer Sciences

UNIVERSITY OF CALIFORNIA College of Engineering Department of Electrical Engineering and Computer Sciences UNIVERSITY OF CALIFORNIA College of Engineering Department of Electrical Engineering and Computer Sciences E. Alon Final EECS 240 Monday, May 19, 2008 SPRING 2008 You should write your results on the exam

More information

Biquads Based on Single Negative Impedance Converter Implemented by Classical Current Conveyor

Biquads Based on Single Negative Impedance Converter Implemented by Classical Current Conveyor 96 T. DOSTÁL, V. AMA, BIUADS BASED O SIGLE EGATIVE IMEDAE OVETE Biquads Based on Single egative Impedance onverter Implemented by lassical urrent onveyor Tomáš DOSTÁL, Vladimír AMA Dept. of adio Electronics,

More information

Biasing the CE Amplifier

Biasing the CE Amplifier Biasing the CE Amplifier Graphical approach: plot I C as a function of the DC base-emitter voltage (note: normally plot vs. base current, so we must return to Ebers-Moll): I C I S e V BE V th I S e V th

More information

Signals and Systems. Lecture 11 Wednesday 22 nd November 2017 DR TANIA STATHAKI

Signals and Systems. Lecture 11 Wednesday 22 nd November 2017 DR TANIA STATHAKI Signals and Systems Lecture 11 Wednesday 22 nd November 2017 DR TANIA STATHAKI READER (ASSOCIATE PROFFESOR) IN SIGNAL PROCESSING IMPERIAL COLLEGE LONDON Effect on poles and zeros on frequency response

More information

CE/CS Amplifier Response at High Frequencies

CE/CS Amplifier Response at High Frequencies .. CE/CS Amplifier Response at High Frequencies INEL 4202 - Manuel Toledo August 20, 2012 INEL 4202 - Manuel Toledo CE/CS High Frequency Analysis 1/ 24 Outline.1 High Frequency Models.2 Simplified Method.3

More information

Name: (Please print clearly) Student ID: CIRCLE YOUR DIVISION INSTRUCTIONS

Name: (Please print clearly) Student ID: CIRCLE YOUR DIVISION INSTRUCTIONS EE 202 Exam III April 13 2011 Name: (Please print clearly) Student ID: CIRCLE YOUR DIVISION Morning 7:30 MWF Furgason INSTRUCTIONS Afternoon 3:30 MWF DeCarlo There are 10 multiple choice worth 5 points

More information

Experimental verification of the Chua s circuit designed with UGCs

Experimental verification of the Chua s circuit designed with UGCs Experimental verification of the Chua s circuit designed with UGCs C. Sánchez-López a), A. Castro-Hernández, and A. Pérez-Trejo Autonomous University of Tlaxcala Calzada Apizaquito S/N, Apizaco, Tlaxcala,

More information

Multilayer Ceramic Capacitors Leaded Capacitors. Packaging. Internal coding. Capacitance tolerance

Multilayer Ceramic Capacitors Leaded Capacitors. Packaging. Internal coding. Capacitance tolerance Leaded Capacitors Leaded Ordering code system B37979N 1 100 K 0 54 Packaging 51 ^ cardboard tape, reel packing (360-mm reel) 54 ^ Ammo packing (standard) 00 ^ bulk Internal coding Capacitance tolerance

More information

ESE319 Introduction to Microelectronics. Feedback Basics

ESE319 Introduction to Microelectronics. Feedback Basics Feedback Basics Feedback concept Feedback in emitter follower Stability One-pole feedback and root locus Frequency dependent feedback and root locus Gain and phase margins Conditions for closed loop stability

More information