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CHAPTER 5: FREQUENCY RESPONSE DR. PHẠM NGUYỄN THANH LOAN
Hà Nội, 9/24/2014
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Frequency Response Introduction Models Low frequency response
Miller effect High frequency response
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Introduction Relation of gain and input frequency: Bode diagram
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Introduction Cut-off frequency (fc): gain decrease of 3dB (0.707)
f1 : fc at low frequency region f2: fc at high frequency region A=ao/(1+jf/ft) |A|f=ft=ao/sqrt(2) log|A|=log ao – 3dB ( )
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Filter models …. pass filter
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Filter models Low pass filter High pass filter
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High pass filter Equivalent capacitor short circuit at high frequency
open circuit at low frequency
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Model - High pass filter
Low frequency Open-circuit equivalent Capacitor => Vo=0, Av=0 High frequency Short - circuit equivalent Capacitor => Vo=Vi, Av=1
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short circuit at high frequency open circuit at low frequency
Model - Low pass filter Equivalent capacitor short circuit at high frequency open circuit at low frequency
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Open-circuit eq. capacitor => Vo= Vi , Av= 1
Model - Low pass filter Low frequency, Open-circuit eq. capacitor => Vo= Vi , Av= 1 High frequency, Short-circuit eq. capacitor => Vo= 0 , Av=0
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Model - Cut-off frequency
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Model - Cut-off frequency
fc: gain reduces 0,707 times (3dB)
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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
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fc introduced by output capacitor
with
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fc introduced by emitter capacitor
with
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FET amplifier 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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Miller effect 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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High frequency response EC amplifier
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
Ci=CWi+Cbe+CMi 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
Tham khảo trang 546, Electronic devices and circuit theory
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Determine ao, ao(dB) bandwidth, fc?
Given Bode diagram
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Example A)Determine voltage gain B) Determine fLs, flC, FlE
C) Determine fHi, fH0 D) Plot Bode diagram
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Homework Chapter 11: 10, 11, 15, 17, 18, 19, 22, 26, 28, 29, 32
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