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Slide điện tử tương tự chapter 5 frequency response

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DR. PHẠM NGUYỄN THANH LOAN

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CHAPTER 5: FREQUENCY RESPONSE

Hà Nội, 9/24/2014
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Introduction
Models
Low frequency response
Miller effect
High frequency response

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Frequency Response


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Relation of gain and input
frequency: Bode diagram

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Introduction

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Introduction

f1 : fc at low frequency region
f2: fc at high frequency region

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Cut-off frequency (fc): gain
decrease of 3dB (0.707)


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Filter models

…. pass filter

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…. pass filter


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Filter models

High pass filter

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Low pass filter


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High pass filter

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Equivalent capacitor
short circuit at high frequency
open circuit at low frequency

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Model

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pass filter

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Low frequency
Open-circuit equivalent Capacitor
=>
Vo=0, Av=0


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- High

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High frequency
Short - circuit equivalent Capacitor
=> Vo=Vi, Av=1

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Model

pass filter

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- Low

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Equivalent capacitor
short circuit at high frequency
open circuit at low frequency
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Model

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pass filter

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Low frequency,
Open-circuit eq. capacitor
=>
Vo= Vi , Av= 1

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- Low

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High frequency,
Short-circuit eq. capacitor
=> Vo= 0 , Av=0

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Model

frequency

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- Cut-off

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Model

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fc: gain reduces 0,707 times (3dB)

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- Cut-off

2

 w C

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AV 


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w  2 f

f 

1
2 R C

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Low frequency response
EC amplifier
Low frequency can be
determined from:
 Cin (fLs) at input
 Cout (fLo) at output
 Cemitter (fLe)




f1 = fL = Max( fLs, fLo, fLe )

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fc introduced by input capacitor

with

f LS 

1
2 ( R S  R i )C S
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R


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 R 1 / / R 2 / /  re

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fc introduced by output capacitor

f Lo 


1
2 ( R o  R L )C C
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with

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 R C / / r0
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fc introduced by emitter capacitor

f LE 

1
2 R eC E
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with R

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 R E / / ( re  R S /  )

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VDD



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RD

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CG




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Vs

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RG

Similar to BJT amplifier
3 capacitors: mCG, CC, CS
fLG=1/[2π(Rsig+Ri)CG] with
Ri=RG
fLC=1/[2π(Ro+RL)CC] with
Ro=RD//rd
fLs=1/[2π(ReqCs] with
Req=Rs/[1+Rs(1+gmrd)/(rd+R
D//RL)]

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FET amplifier


6

RL

RS
Cs

0

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Cf: feedback capacitor
Inverting amplifier
Equivalent of Input and output capacitance
CMin = (1-Av)Cf
CMout = (1-1/Av)Cf ≈ Cf when Av is very big

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Miller effect

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Vùng tần số cao bị giới
hạn bởi các khâu lọc
thông thấp do các tụ kí
sinh Cbc, Cce, Cbe, Cwi,
Cwo

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High frequency response
EC amplifier

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High frequency response
EC amplifier

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Ci=CWi+Cbe+CMi

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Co=CWo+Cce+CMo

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High frequency response
EC amplifier

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How to choose cutoff frequency?

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High frequency response
FET amplifier

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VDD

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Q1

Rsig

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Cds

Cgs

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RD

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VDD

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CG

5V

3

Vs

RG

RS
CWi

RL
Cs

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Tham khảo 11.10 trang 546, Electronic devices and circuit theory
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CWo


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Given Bode diagram

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Determine ao, ao(dB) bandwidth, fc?


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A)Determine voltage gain
B) Determine fLs, flC, FlE
C) Determine fHi, fH0
D) Plot Bode diagram

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Example

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