ESE319 Introduction to Microelectronics. Feedback Basics
|
|
- Rosamund Bruce
- 5 years ago
- Views:
Transcription
1 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 Frequency compensation
2 Operational Amplifier From Another View A vi vo vi F A vf A A ΓF vo vf A A 0 F 0 F A A F A F ideally A= v i =v f vi A vf vo F 2
3 Feedback - Block Diagram Point of View Fundamental block diagram vi Sign very important + vf - A vo βf Fundamental feedback equation We can split the ideal op amp A and resistive divider ΓF into 2 separate blocks because they do not interact with, or load, each other. 2. The op amp output is an ideal voltage source.. Sign - => Negative Feedback Sign + => Positive Feedback 3. The op amp input draws no current. 3
4 Feedback - Block Diagram Point of View Sign - => Negative Feedback vi Sign very important + vf - vo A βf Sign + => Positive Feedback vi Sign very important + A vf + vo βf ASSUME A > 0 and ΓF > 0 What if AΓF =? 4
5 Comments on the Feedback Equation vi + vf - A vo The quantity A F loop-gain and Acl = closed-loop gain. The quantity A = open-loop gain and βf vo A Acl = = v i A F vo A= v =0 vi f vf F= vo F = feedback gain. If the loop gain is much greater than one, i.e. A F (and the system is stable a topic to be discussed later!) the closed-loop gain approximates / F and is independent of A! vo Acl = vi F R2 R F= = R R 2 F R2 5
6 Feedback in the Emitter Follower C in= RS RB vo RE vi V B R B R S ib RS vi i b e ie re RE vo Small-signal ac emitter current equation: i e= vi RS V CC r e R E RE v o=r E i e = vi RS r R E e Create an artificial feedback equation, multiply num & denom by / R S and multiply denom by RE/RE: R E RS A v o= v i= vi A R E r e R E F RS RE 6
7 Emitter Follower Emitter Current The forward gain open-loop term, A: R E A= RS The feedback term, F : r e R E F= RE R E r e R E r e R E A F= = RS RE Rs R E RS A v o= v i= vi A F R E r e R E RS RE If the loop gain is large, A F RE v o v i= vi r e R E F Dependence on BJT is eliminated. 7
8 Loop Gain Sensitivities For: calculus d f x g x d f x d g x =g x f x dx dx dx Acl = A A F Open-loop gain A: dacl = d A A dacl = Acl A F 2 F A F da 2 A dacl da = 0 Acl A F A A F Feedback gain ΓF: dacl A F d F d F = Acl A F F F A F High loop gain makes system insensitive to A, but sensitive to F! 8
9 a number of other techniques developed to assist in the determination of stability of linear feedback systems by pencil-and-paper analysis, simulation and/or measured data. 9
10 vi + vf - Feedback - One-pole A(s) A vo βf vo A s Acl s, F = = vi F A s pole(s) of Acl(s) are the roots of + AΓF = 0, or F A s = = e ± j k Consider the case where: a K0 A s = s a open-loop pole (LP) a K0 ak0 s a Acl s, F = = a K 0 s a F K 0 F s a Where a & K0 are positive real quantities, and let ΓF be a positive-real variable. for k =, 3,...odd Root Locus Plot for Acl s, F s= j j very large K 0 F X -a F =0 closed-loop pole stable for all ΓF! 0
11 Feedback - One-pole A(s) cont. a K0 N s Acl s = = s a F K 0 D s a K0 A s = s a open-loop (OL) closed-loop (CL) Gain - db 20log 0 K 0 20log 0-20 db /dec - 20 db /dec K0 K FK0 0 a **In the text β = ΓF** frequency (ω) ω a F K 0 GBW OL =GBW CL=a K 0
12 One-pole Feedback - Root Locus ak0 N s A s Acl s = = = D s F A s s a F K 0 a K0 A s = s a Pole of Acl(s): D s = A s F =s a F K 0 =0 => s= a F K 0 ALTERNATIVELY a F K0 ± j k for k =, 3,...odd s a F K 0 =0 = = e s a s = r is a root of D(s=r) = 0 or A(s=r)ΓF = - iff a F K0 r a =arg [ ]=± k r a and a F K 0 for p.r. a, K0 and ΓF = r a Root locus algorithm for -pole Amplifier a, K0 and ΓF being positive-real => r = - (a + aγf K0 ) is negative-real 2
13 One-pole Feedback - Root Locus ak0 N s A s Acl s = = = D s F A s s a F K 0 s = r is a root of D(s=r) = 0 or A(s=r)ΓF = - iff a F K0 r a =arg [ ]=± k and r a a F K 0 = r a a, K0 and ΓF being positive-real => r is negative-real s= j r j r+a r a 2 r a = r a =0 ± k x j -a 2 r very large K 0 F x r -a Not allowed 3
14 Frequency-Dependent Feedback Consider the case where the open-loop gain is: s a a b c s b s c 0 a a = K =K 0 dc Gain: A s s=0=k 0 b 0 c bc A s =K The Bode plot of A(jω) : open-loop (OL) 20 log0 A(jω) - db 20log 0KK db /dec a b A j =K - 20 db /dec c ω j a j b j c a b c 4
15 Frequency-Dependent Feedback Acl s = A s F A s where a, b, c, K0 & ΓF are p.r. where r and r2 are either negative-real or complex-conjugate roots 5
16 What's the Root Locus for Acl(s)? Is Acl(s) Stable for all ΓF? s a s b s c s a Acl s = =K 0 s a s b s c F K 0 s a F K 0 s b s c K0 for p.r. a, b, c, K0 and ΓF j x -c x -b o -a a b c 6
17 What's the Root Locus for Acl(s)? Is Acl(s) Stable for all ΓF? D(s) = Since the poles of Acl(s) for ΓF > 0 will not equal any of the poles A(s), we can divide D(s) by (s + b) (s + c) to obtain s a ± jk F K0 = F K 0 f s = = e for k =, 3, odd s b s c The loop-gain terms, ΓF and K0, are positive-real numbers, so for a root s = -ri to exist, the value of f(s) must be negative-real when evaluated at s = ri, where ri is in general complex (and a conjugate). 7
18 What's the Root Locus for Acl(s)? Is Acl(s) Stable for all ΓF? e r b r r a ± 2kk r a c =± r b c r= i i i ri b ri c ri a ± jk where k = odd A s for p.r. a, b, c, s = r F AaF K r0i a a0k r i a a A s == K and Γ r c r b r i r b r c 0 F i c r i bi cl F = risubto test a potential root at s = ri, wesfirst tract the sum of the angles for the open-loop poles to the point ri from the sum of the angles for the zeros to the point (open-loop). ri. 8
19 What's the Root Locus for Acl(s)? Is Acl(s) Stable for all ΓF? D s=r i = r i b r i c F K 0 r i a =0 tot = r a r b r c =± k i i i r a =0 ; r b =0 ; r c =0 tot =0 ± k r a = ; r b =0 ; r c =0 tot = i i i2 r i3 r i2 = ; r a i4 i i3 = ; r a i2 = ; r b i4 b i3 = ; r c i4 =0 tot =0 ± k c = tot = 9
20 What's the Root Locus for Acl(s)? Is Acl(s) Stable for all ΓF? s a K0 s b s c s a Acl s = =K 0 a b c s a s b s c F K 0 s a F K 0 s b s c j x -c x -b l ri o -a Acl(s) IS stable for all ΓF! ABSOLUTELY STABLE. zeros of Acl(s) = zeros of A(s) and are independent of feedback 2. poles of Acl(s) poles of A(s) are a function of the feedback 20
21 What's the Root Locus for Acl(s)? Is Acl(s) Stable for all ΓF? K 0 bc N s Acl s = = s b s c F K 0 bc D s K 0 bc A s = s b s c b c where b, c, K0 & ΓF are p.r. complex conjugate poles of Acl(s) j F 0 X -c X -b Av(s) IS stable for all ΓF! ABSOLUTELY STABLE 2
22 What's the Root Locus for Acl(s)? Is Acl(s) Stable for all ΓF? K 0 bcd A s = s b s c s d K 0 bcd N s Acl s = = s b s c s d F K 0 bcd D s j b c d X -d X -c X -b 22
23 What's the Root Locus for Acl(s)? Is Acl(s) Stable for all ΓF? K 0 bcd A s = s b s c s d K 0 bcd N s Acl s = = s b s c s d F K 0 bcd D s j b c d Acl(s) NOT stable for all ΓF! CONDITIONALLY STABLE Root Locus Sketch X -d X -c X -b 23
24 The Root Locus Method This graphical method for finding the roots of a polynomial is known as the root locus method. It was developed before computers were available. It is still used because it gives valuable insight into the behavior of feedback systems as the loop gain is varied. Matlab (control systems toolbox) will plot root loci. In the frequency-dependent feedback (two-pole & one-zero) example, we noted that increasing feedback increases the CL bandwidth i.e. the low & high frequency break points moved in opposite directions as ΓF increased. As expected Higher ΓF reduces the closed-loop mid-band gain. 24
25 ri b F A s r i c r i a 25
26 F A s= j i F A=V f /V i F A j vf r i = j i σ ± jk ± = j k ± je 2k A j A j = F A Fj F i =i e i e for k odd F A j i = e ± jk jω for any value of ωi? F A j i for a particular ΓF = ΓFa and all ωi is determined from equations, simulation or experiment. 26
27 F A j i = e ± j 2k for any ω => onset of instability i Important Definitions arg [ Fa A j i ]= 80 o 20 log0 [ Fa A j i ]=0 db ωi ω80 = 80o phase crossover freq. ωi ω = unity (0 db) gain crossover freq. 20 log0 F A j 80 0 db o or arg [ Fa A j ] 80 [ F A80 ]db=20 log 0 [ Fa A j 80 ] 0 db GM =0 db [ F A80 ]db 0 db j =arg [ Fa A j ] 80 o PM = j 80 o 0 o 27
28 20 log0 [ Fa A j ] db ω = unity (0 db) gain crossover frequency 0 ω ω (log scale) j =arg [ Fa A j ] deg 0-90o -80o ω80 ω (log scale) ω80 = 80o phase crossover frequency -270o -360o 28
29 20 log0 [ Fa A j ] db 0 GM =0 db 20 log0 [ F A j 80 ] ω80 ω (log scale) j =arg [ Fa A j ] deg 0-90o ω80 ω (log scale) -80o -270o -360o 29
30 20 log0 [ Fa A j ] db 0 ω ω (log scale) j =arg [ Fa A j ] deg 0-90o ω ω (log scale) -80o -270o -360o PM = j 80o PM > 0o => stable amplifier 30
31 F A j 3
32 32
33 Alternative Stability Analysis. Investigating stability for a variety of feedback gains ΓF by constructing Bode plots for the loop-gain ΓFA(jω) can be tedious and time consuming. 2. A simpler approach involves constructing Bode plots for A(jω) and ΓF (or /ΓF) separately. 20 log = 20 log when 20 log F A j =20 log A j 20 log F 20 log A j =20 log 20 log F A j =0 db = F F F gain cross-over frequency 33
34 20 log0 [ Fa A j ] db 0 ω (log scale) j =arg [ Fa A j ] deg 0-90o ω (log scale) -80o -270o -360o 34
35 20 log0 [ Fa A j ] db 0 j =arg [ Fa A j ] deg 0-90o GM =0 db 20 log0 [ F A j 80 ] ω ω ω80 ω (log scale) ω80-80o -270o -360o PM = j 80o 35
36 Basic Relations 20 log A F.=20 log A 20 log F 20 log Fa A =0 f = f 20 log A =20 log Fa 36
37 37
38 0 5 A = /05 /06 /07 20log A 20 log A Fb =0 db 20log /ΓFb = 85 db GM =25 db f < f80 Basic Relations PM = GM = 0 20 log A log f φ() = -08o f80 =0 db Fb j f =arg [ A j f Fb ] 80o PM =φ() + 80o = 72o stable! 38
39 0 5 A = /0 /0 /0 20log A 20log /ΓFc = 50 db PM = GM = 0 GM GM = - 0 db f80 φ() = -20 o -40 db /dec 20 log A j f Fc =0 Basic Relations =0 db Fc j f =arg [ A j f Fb ] 80o 20 log A j f 20 log PM =φ() + 80o = -30o unstable! 39
40 Alternative Stability Analysis Observation 20log A db 00 20log /ΓFc A = /0 /0 /0 5 0 A = /0 /0 /0-20 db /dec db /dec Stable with f =arg A 02-45o -35o 0 f db /dec φ() -35o => PM 45o f (Hz) f (Hz) -90o -80o -270o 40
41 Alternative Stability Analysis - cont. 20log A db log /ΓFb /0 /0 /0 A = db /dec log /ΓFa Stable with PM 45o 0 A = /0 /0 /0-40 db /dec PM = GM = f =arg A 02 φ() = -08 o 0 f db /dec f (Hz) f (Hz) -90o -80o 72o PM -270o 4
42 Alternative Stability Analysis - cont. 5 20log A -20 db /dec stable -40 db /dec unstable unstable f80 f -60 db /dec 0 A = /0 /0 /0 20 log A F =20 log A 20 log Rule of Thumb Closed -loop amplifier will be stable if the 20log/ΓF line intersects the 20log A(j f) curve on the -20 db/dec segment. Using Rule of Thumb : arg (A() ΓF) arg (A() ΓF) - 35o => F PM 45o 42
43 Rate of Closure (RC) 20log A F db /dec RC = - 20 db/dec 0 db/dec = - 20 db/dec RC = - 40 db/dec 0 db/dec = - 40 db/dec RC = - 40 db/dec 0 db/dec = - 40 db/dec From previous slide: Rule of Thumb Closed-loop amplifier will be stable with PM 45o if 20log/ΓF line intersects 20log A(j f) curve on the -20 db/dec segment. RC =slope A j2 f db /dec slope 00 arg PM = 72o Equivalent Rule of Thumb Closed-loop amplifier will be stable with PM 45o if RC = 20 db /dec 43
44 Frequency Dependent Feedback db F db /dec RC = 20 db /dec 20 db /dec = 40 db /dec RC =slope A j2 f db /dec slope A(j2πf) 00 /Γ(j2πf) 80 RC 2= 20 db/ dec 0 db/ dec = 20 db/ dec -20 db /dec 60 /Γ RC3 = - 40 db/dec (0 db/dec) = - 40 db/dec /Γ3 RC4 = - 40 db/dec (-20 db/dec) = - 20 db/dec /Γ4(j2πf) k 0k 00k M Frequency (Hz) 0M Equivalent Rule of Thumb Closed-loop amplifier will be stable with PM 45o if RC = 20 db /dec 44
45 Quick Review A s Acl s = F A s Gain & Phase Margins A. What are the two methods for determining stability of closed loop amplifier? B. What is the Rule of thumb? 45
46 Quick Review cont. A. What are the two methods for determining stability of closed loop amplifier? 20log0 A(jω) ΓFa db A s Acl s = F A s φ(jω) = arg (A(jω)ΓFa GM ω (log scale) 80 ω (log scale) PM () A j F = = e where F = Fa j ± 2k GM =0 db 20 log 0 A j 80 Fa 0 PM =arg A j Fa 80 o 0 46
47 Quick Review cont. 20log0 A(jω) db A s Acl s = F A s 20 log (/ΓFa) 20 log (/ΓFb) 20 log (/ΓFc) φ(jω) = arg (A(jω)) (2) 20 log A j F =20 log A j 20 log F 20 log A j =20 log Fa f(hz) f(hz) where F = Fa 47
48 Quick Review cont. Rule of Thumb Closed -loop amplifier will be stable if the 20log/ΓF line intersects the 20log A(j f) curve on the -20 db/dec segment and PM 45o. 20log0 A(jω) db over 20dB/dec. segment 45ο arg (A()ΓF) -35o => PM = φ() + 80o 45o φ(jω) =arg (A(jω)) 48
49 Frequency Compensation 20log A /ΓF /ΓF /ΓF Ex: LM 74 op amp is frequency compensated to be stable with 60o PM for 20 log Acl() = 20 log /ΓF = 0 db. frequency compensation modifying the open-loop A(s) so that the closed-loop Acl(s) is stable for any desired value of Acl() by extending the -20 db/dec segment. desired implementation - minimum on-chip or external components. 49
50 Op Amp Basics or 2 Differential Stages v IN v IN2 + Differential Amplifier - Stage Compensation Circuit High Gain Stage Output Stage v OUT Bias Circuit 50
51 Compensation What if st pole is shifted lower? 20log A db 20log Acomp -20 db /dec 00 20log /ΓF = 85 db db /dec db /dec 20log /ΓF2 = 45 db db /dec db /dec VCC f (Hz) -60 db /dec 08-90o -80o 5 0 Acomp /0 3 /08 / o 5
52 Frequency Compensation Using Miller Effect VCC C comp Ii RC C comp with Comp = 0 Vo R C p2 = R2 C 2 p = Ii Vo Rin2 C in2 R V C g m V R2 C =C C g m R2 R= R B r BJT Miller Capacitance C2 R2 = RC r o Rin2 C 2 =C C in2 Vo sc comp g m R R2 = I i s[c R C 2 R2 C comp g m R R2 R R 2 ] s 2 [C C 2 C comp C C 2 ] R R2 sc comp g m R R2 sc comp g m R R2.= = where p2c pc 2 s s s s pc p2c pc p2c pc p2c 52
53 Compensation Using Miller Effect - cont. Vo = Ii sc comp g m R R2 sc comp g m R R s s s s pc p2c pc p2c pc pc p2c assumption If p2c pc pole-splitting and Vo s C comp g m R R2 = I i s [C R C 2 R2 C comp g m R R2 R R 2 ] s 2 [C C 2 C comp C C 2 ] R R2 pc = C R C 2 R 2 C comp g m R R2 R R 2 C comp g m R 2 R Compensation Miller Capacitance pc p2c C R C 2 R2 C comp g m R R2 R R2 C comp g m R R 2 gm p2c = = pc [C C 2 C comp C C 2 ] R R 2 C comp C C 2 R R 2 C C 2 If C comp C C 2 C C 2 53
54 Compensation Using Miller Effect - cont. Vo s C comp g m R R2 = I i s [C R C 2 R2 C comp g m R R2 R R 2 ] s 2 [C C 2 C comp C C 2 ] R R2 s pc = pc 2 s pc p2c C R C 2 R 2 C comp g m R R2 R R 2 C comp g m R 2 R Compensation Miller Capacitance pc p2c C R C 2 R2 C comp g m R R2 R R2 C comp g m R R 2 gm p2c = = pc [C C 2 C comp C C 2 ] R R 2 C comp C C 2 R R 2 C C 2 If C comp C C 2 C C 2 54
55 Compensation Using Miller Effect - cont. A = p f p = = 2 2 R C 0 = 5 f p f p2 f p3 p2 f p2 = = 2 2 R2 C2 Using Miller effect compensation: fp -> fpc << fp and fp2 -> fp2c >> fp2 (pole-splitting) Also fp3, determined by another stage, is unaffected by the compensation => fp3c = fp3 0 Acomp = f pc 5 f p2c pc f pc = 2 2 [C comp g m R R2 ] f p3 p2c gm f p2c = 2 2 [C C 2 ] 55
56 Given: Miller Compensation Example A = = = R C R2 C 2 f p f p where C = 20 pf, C2 = 5 pf, gm = 40 ms, R = 00/2π kω and R2 = 200/2π kω Design Objective: determine Ccomp s.t. fpc = 00 Hz and compute fp2c. Acomp = = f p2c f pc f p2c f pc =00 Hz = C comp=78.5 pf 2 [C comp g m R R 2 ] 2 [C comp 40x x05 ] gm f p2c = 6 MHz 2 C C 2 56
57 Compensation Using Miller Effect - cont. 20log A db -20 db /dec 00 20log Acomp db /dec Acomp -40 db /dec o A = PM 45 for Acl = o db /dec -pole roll-off! F 20log /ΓF = 0 db f (Hz) -60 db /dec -40 db /dec o -80o Acomp
58 Summary Feedback has many desirable features, but it can create unexpected - undesired results if the complete frequencydependent nature (phase-shift with frequency) of the feedback circuit is not taken into account. Feedback can be used to convert a well-behaved stable circuit into an oscillator. Sometimes, due to parasitics, feedback in amplifiers results in unexpected oscillations. Iff all the poles/zeros are accounted for, the root-locus visually illustrates how feedback can create the conditions for oscillation and instability. 58
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 informationECEN 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 informationDESIGN MICROELECTRONICS ELCT 703 (W17) LECTURE 3: OP-AMP CMOS CIRCUIT. Dr. Eman Azab Assistant Professor Office: C
MICROELECTRONICS ELCT 703 (W17) LECTURE 3: OP-AMP CMOS CIRCUIT DESIGN Dr. Eman Azab Assistant Professor Office: C3.315 E-mail: eman.azab@guc.edu.eg 1 TWO STAGE CMOS OP-AMP It consists of two stages: First
More informationStudio 9 Review Operational Amplifier Stability Compensation Miller Effect Phase Margin Unity Gain Frequency Slew Rate Limiting Reading: Text sec 5.
Studio 9 Review Operational Amplifier Stability Compensation Miller Effect Phase Margin Unity Gain Frequency Slew Rate Limiting Reading: Text sec 5.2 pp. 232-242 Two-stage op-amp Analysis Strategy Recognize
More informationChapter 10 Feedback. PART C: Stability and Compensation
1 Chapter 10 Feedback PART C: Stability and Compensation Example: Non-inverting Amplifier We are analyzing the two circuits (nmos diff pair or pmos diff pair) to realize this symbol: either of the circuits
More informationESE319 Introduction to Microelectronics Bode Plot Review High Frequency BJT Model
Bode Plot Review High Frequency BJT Model 1 Logarithmic Frequency Response Plots (Bode Plots) Generic form of frequency response rational polynomial, where we substitute jω for s: H s=k sm a m 1 s m 1
More informationECEN 325 Electronics
ECEN 325 Electronics Operational Amplifiers Dr. Aydın İlker Karşılayan Texas A&M University Department of Electrical and Computer Engineering Opamp Terminals positive supply inverting input terminal non
More informationStability & Compensation
Advanced Analog Building Blocks Stability & Compensation Wei SHEN (KIP) 1 Bode Plot real zeros zeros with complex conjugates real poles poles with complex conjugates http://lpsa.swarthmore.edu/bode/bode.html
More informationLecture 120 Compensation of Op Amps-I (1/30/02) Page ECE Analog Integrated Circuit Design - II P.E. Allen
Lecture 20 Compensation of Op AmpsI (/30/02) Page 20 LECTURE 20 COMPENSATION OF OP AMPS I (READING: GHLM 425434 and 624638, AH 249260) INTRODUCTION The objective of this presentation is to present the
More informationStability 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 informationUniversity of Toronto. Final Exam
University of Toronto Final Exam Date - Dec 16, 013 Duration:.5 hrs ECE331 Electronic Circuits Lecturer - D. Johns ANSWER QUESTIONS ON THESE SHEETS USING BACKS IF NECESSARY 1. Equation sheet is on last
More informationELECTRONICS & COMMUNICATIONS DEP. 3rd YEAR, 2010/2011 CONTROL ENGINEERING SHEET 5 Lead-Lag Compensation Techniques
CAIRO UNIVERSITY FACULTY OF ENGINEERING ELECTRONICS & COMMUNICATIONS DEP. 3rd YEAR, 00/0 CONTROL ENGINEERING SHEET 5 Lead-Lag Compensation Techniques [] For the following system, Design a compensator such
More informationFinal Exam. 55:041 Electronic Circuits. The University of Iowa. Fall 2013.
Final Exam Name: Max: 130 Points Question 1 In the circuit shown, the op-amp is ideal, except for an input bias current I b = 1 na. Further, R F = 10K, R 1 = 100 Ω and C = 1 μf. The switch is opened at
More informationHomework 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 informationAdvanced Analog Integrated Circuits. Operational Transconductance Amplifier II Multi-Stage Designs
Advanced Analog Integrated Circuits Operational Transconductance Amplifier II Multi-Stage Designs Bernhard E. Boser University of California, Berkeley boser@eecs.berkeley.edu Copyright 2016 by Bernhard
More informationFrequency Dependent Aspects of Op-amps
Frequency Dependent Aspects of Op-amps Frequency dependent feedback circuits The arguments that lead to expressions describing the circuit gain of inverting and non-inverting amplifier circuits with resistive
More informationFrequency Response Analysis
Frequency Response Analysis Consider let the input be in the form Assume that the system is stable and the steady state response of the system to a sinusoidal inputdoes not depend on the initial conditions
More informationQuick Review. ESE319 Introduction to Microelectronics. and Q1 = Q2, what is the value of V O-dm. If R C1 = R C2. s.t. R C1. Let Q1 = Q2 and R C1
Quick Review If R C1 = R C2 and Q1 = Q2, what is the value of V O-dm? Let Q1 = Q2 and R C1 R C2 s.t. R C1 > R C2, express R C1 & R C2 in terms R C and ΔR C. If V O-dm is the differential output offset
More informationCE/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 informationAssignment 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 informationChapter 9 Frequency Response. PART C: High Frequency Response
Chapter 9 Frequency Response PART C: High Frequency Response Discrete Common Source (CS) Amplifier Goal: find high cut-off frequency, f H 2 f H is dependent on internal capacitances V o Load Resistance
More informationLecture 17 Date:
Lecture 17 Date: 27.10.2016 Feedback and Properties, Types of Feedback Amplifier Stability Gain and Phase Margin Modification Elements of Feedback System: (a) The feed forward amplifier [H(s)] ; (b) A
More informationECEN 607 (ESS) Op-Amps Stability and Frequency Compensation Techniques. Analog & Mixed-Signal Center Texas A&M University
ECEN 67 (ESS) Op-Amps Stability and Frequency Compensation Techniques Analog & Mixed-Signal Center Texas A&M University Stability of Linear Systems Harold S. Black, 97 Negative feedback concept Negative
More informationECEN 326 Electronic Circuits
ECEN 326 Electronic Circuits Frequency Response Dr. Aydın İlker Karşılayan Texas A&M University Department of Electrical and Computer Engineering High-Frequency Model BJT & MOS B or G r x C f C or D r
More informationStability and Frequency Compensation
類比電路設計 (3349) - 2004 Stability and Frequency ompensation hing-yuan Yang National hung-hsing University Department of Electrical Engineering Overview Reading B Razavi hapter 0 Introduction In this lecture,
More informationI. Frequency Response of Voltage Amplifiers
I. Frequency Response of Voltage Amplifiers A. Common-Emitter Amplifier: V i SUP i OUT R S V BIAS R L v OUT V Operating Point analysis: 0, R s 0, r o --->, r oc --->, R L ---> Find V BIAS such that I C
More informationSchool of Mechanical Engineering Purdue University. DC Motor Position Control The block diagram for position control of the servo table is given by:
Root Locus Motivation Sketching Root Locus Examples ME375 Root Locus - 1 Servo Table Example DC Motor Position Control The block diagram for position control of the servo table is given by: θ D 0.09 See
More informationStart with the transfer function for a second-order high-pass. s 2. ω o. Q P s + ω2 o. = G o V i
aaac3xicbzfna9taeizxatkk7kec9tilqck4jbg5fjpca4ew0kmpdsrxwhlvxokl7titrirg69lr67s/robll64wmkna5jenndmvjstzyib9pfjntva/vzu6dzsnhj5/sdfefxhmvawzjpotsxeiliemxiucjpogkkybit3x5atow5w8xfugs5qmksecubqo7krlsfhkzsagxr4jne8wehaaxjqy4qq2svvl5el5qai2v9hy5tnxwb0om8igbiqfhhqhkoulcfs2zczhp26lwm7ph/hehffsbu90syo3hcmwvyxpawjtfbjpkm/wlbnximooweuygmsivnygqlpcmywvfppvrewjl3yqxti9gr6e2kgqbgrnlizqyuf2btqd/vgmo8cms4dllesrrdopz4ahyqjf7c66bovhzqznm9l89tqb2smixsxzk3tsdtnat4iaxnkk5bfcbn6iphqywpvxwtypgvnhtsvux234v77/ncudz9leyj84wplgvm7hrmk4ofi7ynw8edpwl7zt62o9klz8kl0idd8pqckq9krmaekz/kt7plbluf3a/un/d7ko6bc0zshbujz6huqq
More informationLecture 140 Simple Op Amps (2/11/02) Page 140-1
Lecture 40 Simple Op Amps (2//02) Page 40 LECTURE 40 SIMPLE OP AMPS (READING: TextGHLM 425434, 453454, AH 249253) INTRODUCTION The objective of this presentation is:.) Illustrate the analysis of BJT and
More informationENGN3227 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 informationELECTRONIC SYSTEMS. Basic operational amplifier circuits. Electronic Systems - C3 13/05/ DDC Storey 1
Electronic Systems C3 3/05/2009 Politecnico di Torino ICT school Lesson C3 ELECTONIC SYSTEMS C OPEATIONAL AMPLIFIES C.3 Op Amp circuits» Application examples» Analysis of amplifier circuits» Single and
More informationChapter 6 Frequency response of circuits. Stability
Chapter 6 Frequency response of circuits. Stability 6.. The frequency response of elementary functions 6... The frequency bandwidth 6... The frequency bandwidth /A/(dB ) A 0 3dB min max 6... The frequency
More informationESE319 Introduction to Microelectronics. Output Stages
Output Stages Power amplifier classification Class A amplifier circuits Class A Power conversion efficiency Class B amplifier circuits Class B Power conversion efficiency Class AB amplifier circuits Class
More informationCHAPTER.6 :TRANSISTOR FREQUENCY RESPONSE
CHAPTER.6 :TRANSISTOR FREQUENCY RESPONSE To understand Decibels, log scale, general frequency considerations of an amplifier. low frequency analysis - Bode plot low frequency response BJT amplifier Miller
More informationElectronics II. Final Examination
The University of Toledo f6fs_elct7.fm - Electronics II Final Examination Problems Points. 5. 0 3. 5 Total 40 Was the exam fair? yes no The University of Toledo f6fs_elct7.fm - Problem 5 points Given is
More informationECE3050 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 informationLECTURE 130 COMPENSATION OF OP AMPS-II (READING: GHLM , AH )
Lecture 30 Compensation of Op AmpsII (/26/04) Page 30 LECTURE 30 COMPENSATION OF OP AMPSII (READING: GHLM 638652, AH 260269) INTRODUCTION The objective of this presentation is to continue the ideas of
More informationBipolar Emitter-Follower: Riso w/dual Feedback
Operational Amplifier Stability Part 10 of 15: Capacitor Loop Stability: Riso with Dual Feedback by Tim Green Linear Applications Engineering Manager, Burr-Brown Products from Texas Instruments Part 10
More informationECE 3050A, Spring 2004 Page 1. FINAL EXAMINATION - SOLUTIONS (Average score = 78/100) R 2 = R 1 =
ECE 3050A, Spring 2004 Page Problem (20 points This problem must be attempted) The simplified schematic of a feedback amplifier is shown. Assume that all transistors are matched and g m ma/v and r ds.
More information55:041 Electronic Circuits The University of Iowa Fall Exam 2
Exam 2 Name: Score /60 Question 1 One point unless indicated otherwise. 1. An engineer measures the (step response) rise time of an amplifier as t r = 0.35 μs. Estimate the 3 db bandwidth of the amplifier.
More informationHomework 6 Solutions and Rubric
Homework 6 Solutions and Rubric EE 140/40A 1. K-W Tube Amplifier b) Load Resistor e) Common-cathode a) Input Diff Pair f) Cathode-Follower h) Positive Feedback c) Tail Resistor g) Cc d) Av,cm = 1/ Figure
More informationEE 321 Analog Electronics, Fall 2013 Homework #8 solution
EE 321 Analog Electronics, Fall 2013 Homework #8 solution 5.110. The following table summarizes some of the basic attributes of a number of BJTs of different types, operating as amplifiers under various
More informationUniversity 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 informationRefinements 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 informationBoise State University Department of Electrical Engineering ECE461 Control Systems. Control System Design in the Frequency Domain
Boise State University Department of Electrical Engineering ECE6 Control Systems Control System Design in the Frequency Domain Situation: Consider the following block diagram of a type- servomechanism:
More informationFEEDBACK AND STABILITY
FEEDBCK ND STBILITY THE NEGTIVE-FEEDBCK LOOP x IN X OUT x S + x IN x OUT Σ Signal source _ β Open loop Closed loop x F Feedback network Output x S input signal x OUT x IN x F feedback signal x IN x S x
More information(b) A unity feedback system is characterized by the transfer function. Design a suitable compensator to meet the following specifications:
1. (a) The open loop transfer function of a unity feedback control system is given by G(S) = K/S(1+0.1S)(1+S) (i) Determine the value of K so that the resonance peak M r of the system is equal to 1.4.
More informationESE319 Introduction to Microelectronics. BJT Biasing Cont.
BJT Biasing Cont. Biasing for DC Operating Point Stability BJT Bias Using Emitter Negative Feedback Single Supply BJT Bias Scheme Constant Current BJT Bias Scheme Rule of Thumb BJT Bias Design 1 Simple
More informationSection 1: Common Emitter CE Amplifier Design
ECE 3274 BJT amplifier design CE, CE with Ref, and CC. Richard Cooper Section 1: CE amp Re completely bypassed (open Loop) Section 2: CE amp Re partially bypassed (gain controlled). Section 3: CC amp (open
More informationEE 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 informationFeedback 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 informationChapter 9: Controller design
Chapter 9. Controller Design 9.1. Introduction 9.2. Effect of negative feedback on the network transfer functions 9.2.1. Feedback reduces the transfer function from disturbances to the output 9.2.2. Feedback
More informationHomework 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 informationOPERATIONAL 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 informationSystems Analysis and Control
Systems Analysis and Control Matthew M. Peet Arizona State University Lecture 21: Stability Margins and Closing the Loop Overview In this Lecture, you will learn: Closing the Loop Effect on Bode Plot Effect
More informationElectronic 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 informationSystematic 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 informationCompensator Design to Improve Transient Performance Using Root Locus
1 Compensator Design to Improve Transient Performance Using Root Locus Prof. Guy Beale Electrical and Computer Engineering Department George Mason University Fairfax, Virginia Correspondence concerning
More information6.302 Feedback Systems
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Electrical Engineering and Computer Science 6.302 Feedback Systems Fall Term 2005 Issued : November 18, 2005 Lab 2 Series Compensation in Practice Due
More informationAdvanced 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 informationR a) Compare open loop and closed loop control systems. b) Clearly bring out, from basics, Force-current and Force-Voltage analogies.
SET - 1 II B. Tech II Semester Supplementary Examinations Dec 01 1. a) Compare open loop and closed loop control systems. b) Clearly bring out, from basics, Force-current and Force-Voltage analogies..
More informationFrequency Response Techniques
4th Edition T E N Frequency Response Techniques SOLUTION TO CASE STUDY CHALLENGE Antenna Control: Stability Design and Transient Performance First find the forward transfer function, G(s). Pot: K 1 = 10
More informationExact Analysis of a Common-Source MOSFET Amplifier
Exact Analysis of a Common-Source MOSFET Amplifier Consider the common-source MOSFET amplifier driven from signal source v s with Thévenin equivalent resistance R S and a load consisting of a parallel
More informationEE40 Midterm Review Prof. Nathan Cheung
EE40 Midterm Review Prof. Nathan Cheung 10/29/2009 Slide 1 I feel I know the topics but I cannot solve the problems Now what? Slide 2 R L C Properties Slide 3 Ideal Voltage Source *Current depends d on
More informationMICROELECTRONIC CIRCUIT DESIGN Second Edition
MICROELECTRONIC CIRCUIT DESIGN Second Edition Richard C. Jaeger and Travis N. Blalock Answers to Selected Problems Updated 10/23/06 Chapter 1 1.3 1.52 years, 5.06 years 1.5 2.00 years, 6.65 years 1.8 113
More informationLinear Circuit Experiment (MAE171a) Prof: Raymond de Callafon
Linear Circuit Experiment (MAE171a) Prof: Raymond de Callafon email: callafon@ucsd.edu TA: Younghee Han tel. (858) 8221763/8223457, email: y3han@ucsd.edu class information and lab handouts will be available
More informationEE 435. Lecture 16. Compensation Systematic Two-Stage Op Amp Design
EE 435 Lecture 6 Compensation Systematic Two-Stage Op Amp Design Review from last lecture Review of Basic Concepts Pole Locations and Stability Theorem: A system is stable iff all closed-loop poles lie
More informationOperational Amplifiers
Operational Amplifiers A Linear IC circuit Operational Amplifier (op-amp) An op-amp is a high-gain amplifier that has high input impedance and low output impedance. An ideal op-amp has infinite gain and
More informationControl Systems I. Lecture 9: The Nyquist condition
Control Systems I Lecture 9: The Nyquist condition adings: Guzzella, Chapter 9.4 6 Åstrom and Murray, Chapter 9.1 4 www.cds.caltech.edu/~murray/amwiki/index.php/first_edition Emilio Frazzoli Institute
More informationAmplifiers, Source followers & Cascodes
Amplifiers, Source followers & Cascodes Willy Sansen KULeuven, ESAT-MICAS Leuven, Belgium willy.sansen@esat.kuleuven.be Willy Sansen 0-05 02 Operational amplifier Differential pair v- : B v + Current mirror
More informationRadivoje Đurić, 2015, Analogna Integrisana Kola 1
OVA & OTA 1 OVA VA-Operational Voltage Amplifier Ideally a voltage-controlled voltage source Typically contains an output stage that can drive arbitrary loads, including small resistances Predominantly
More information55:041 Electronic Circuits The University of Iowa Fall Final Exam
Final Exam Name: Score Max: 135 Question 1 (1 point unless otherwise noted) a. What is the maximum theoretical efficiency for a class-b amplifier? Answer: 78% b. The abbreviation/term ESR is often encountered
More informationLecture 150 Simple BJT Op Amps (1/28/04) Page 150-1
Lecture 50 Simple BJT Op Amps (/28/04) Page 50 LECTURE 50 SIMPLE BJT OP AMPS (READING: TextGHLM 425434, 453454, AH 249253) INTRODUCTION The objective of this presentation is:.) Illustrate the analysis
More information7.4 STEP BY STEP PROCEDURE TO DRAW THE ROOT LOCUS DIAGRAM
ROOT LOCUS TECHNIQUE. Values of on the root loci The value of at any point s on the root loci is determined from the following equation G( s) H( s) Product of lengths of vectors from poles of G( s)h( s)
More informationSophomore 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 informationECE137B Final Exam. There are 5 problems on this exam and you have 3 hours There are pages 1-19 in the exam: please make sure all are there.
ECE37B Final Exam There are 5 problems on this exam and you have 3 hours There are pages -9 in the exam: please make sure all are there. Do not open this exam until told to do so Show all work: Credit
More informationEE105 Fall 2015 Microelectronic Devices and Circuits Frequency Response. Prof. Ming C. Wu 511 Sutardja Dai Hall (SDH)
EE05 Fall 205 Microelectronic Devices and Circuits Frequency Response Prof. Ming C. Wu wu@eecs.berkeley.edu 5 Sutardja Dai Hall (SDH) Amplifier Frequency Response: Lower and Upper Cutoff Frequency Midband
More informationOPERATIONAL AMPLIFIER ª Differential-input, Single-Ended (or Differential) output, DC-coupled, High-Gain amplifier
à OPERATIONAL AMPLIFIERS à OPERATIONAL AMPLIFIERS (Introduction and Properties) Phase relationships: Non-inverting input to output is 0 Inverting input to output is 180 OPERATIONAL AMPLIFIER ª Differential-input,
More information10ES-43 CONTROL SYSTEMS ( ECE A B&C Section) % of Portions covered Reference Cumulative Chapter. Topic to be covered. Part A
10ES-43 CONTROL SYSTEMS ( ECE A B&C Section) Faculty : Shreyus G & Prashanth V Chapter Title/ Class # Reference Literature Topic to be covered Part A No of Hours:52 % of Portions covered Reference Cumulative
More informationChapter 2 - DC Biasing - BJTs
Objectives Chapter 2 - DC Biasing - BJTs To Understand: Concept of Operating point and stability Analyzing Various biasing circuits and their comparison with respect to stability BJT A Review Invented
More informationCARLETON UNIVERSITY. FINAL EXAMINATION December DURATION 3 HOURS No. of Students 130
ALETON UNIVESITY FINAL EXAMINATION December 005 DUATION 3 HOUS No. of Students 130 Department Name & ourse Number: Electronics ELE 3509 ourse Instructor(s): Prof. John W. M. ogers and alvin Plett AUTHOIZED
More information1 (20 pts) Nyquist Exercise
EE C128 / ME134 Problem Set 6 Solution Fall 2011 1 (20 pts) Nyquist Exercise Consider a close loop system with unity feedback. For each G(s), hand sketch the Nyquist diagram, determine Z = P N, algebraically
More informationAnalysis and Design of Analog Integrated Circuits Lecture 12. Feedback
Analysis and Design of Analog Integrated Circuits Lecture 12 Feedback Michael H. Perrott March 11, 2012 Copyright 2012 by Michael H. Perrott All rights reserved. Open Loop Versus Closed Loop Amplifier
More informationHomework 7 - Solutions
Homework 7 - Solutions Note: This homework is worth a total of 48 points. 1. Compensators (9 points) For a unity feedback system given below, with G(s) = K s(s + 5)(s + 11) do the following: (c) Find the
More informationSingle-Time-Constant (STC) Circuits This lecture is given as a background that will be needed to determine the frequency response of the amplifiers.
Single-Time-Constant (STC) Circuits This lecture is given as a background that will be needed to determine the frequency response of the amplifiers. Objectives To analyze and understand STC circuits with
More informationECE 546 Lecture 11 MOS Amplifiers
ECE 546 Lecture MOS Amplifiers Spring 208 Jose E. Schutt-Aine Electrical & Computer Engineering University of Illinois jesa@illinois.edu ECE 546 Jose Schutt Aine Amplifiers Definitions Used to increase
More informationElectronics II. Final Examination
f3fs_elct7.fm - The University of Toledo EECS:3400 Electronics I Section Student Name Electronics II Final Examination Problems Points.. 3 3. 5 Total 40 Was the exam fair? yes no Analog Electronics f3fs_elct7.fm
More informationBJT Biasing Cont. & Small Signal Model
BJT Biasing Cont. & Small Signal Model Conservative Bias Design (1/3, 1/3, 1/3 Rule) Bias Design Example Small-Signal BJT Models Small-Signal Analysis 1 Emitter Feedback Bias Design R B R C V CC R 1 R
More informationCHAPTER 7 : BODE PLOTS AND GAIN ADJUSTMENTS COMPENSATION
CHAPTER 7 : BODE PLOTS AND GAIN ADJUSTMENTS COMPENSATION Objectives Students should be able to: Draw the bode plots for first order and second order system. Determine the stability through the bode plots.
More informationECE 486 Control Systems
ECE 486 Control Systems Spring 208 Midterm #2 Information Issued: April 5, 208 Updated: April 8, 208 ˆ This document is an info sheet about the second exam of ECE 486, Spring 208. ˆ Please read the following
More informationBandwidth of op amps. R 1 R 2 1 k! 250 k!
Bandwidth of op amps An experiment - connect a simple non-inverting op amp and measure the frequency response. From the ideal op amp model, we expect the amp to work at any frequency. Is that what happens?
More informationCircuit 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 informationECEN 325 Electronics
ECEN 325 Electronics Introduction Dr. Aydın İlker Karşılayan Texas A&M University Department of Electrical and Computer Engineering Ohm s Law i R i R v 1 v v 2 v v 1 v 2 v = v 1 v 2 v = v 1 v 2 v = ir
More informationECE-342 Test 3: Nov 30, :00-8:00, Closed Book. Name : Solution
ECE-342 Test 3: Nov 30, 2010 6:00-8:00, Closed Book Name : Solution All solutions must provide units as appropriate. Unless otherwise stated, assume T = 300 K. 1. (25 pts) Consider the amplifier shown
More informationECE-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 informationESE319 Introduction to Microelectronics Common Emitter BJT Amplifier
Common Emitter BJT Amplifier 1 Adding a signal source to the single power supply bias amplifier R C R 1 R C V CC V CC V B R E R 2 R E Desired effect addition of bias and signal sources Starting point -
More informationGuest Lectures for Dr. MacFarlane s EE3350
Guest Lectures for Dr. MacFarlane s EE3350 Michael Plante Sat., -08-008 Write name in corner.. Problem Statement Amplifier Z S Z O V S Z I Z L Transducer, Antenna, etc. Coarse Tuning (optional) Amplifier
More informationLectures on STABILITY
University of California Berkeley College of Engineering Department of Electrical Engineering and Computer Science νin ( ) Effect of Feedback on Frequency Response a SB Robert W. Brodersen EECS40 Analog
More informationProf. 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 informationChapter 2. - DC Biasing - BJTs
Chapter 2. - DC Biasing - BJTs Objectives To Understand : Concept of Operating point and stability Analyzing Various biasing circuits and their comparison with respect to stability BJT A Review Invented
More information