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Lecture%2027_%20April%201%202011

Lecture%2027_%20April%201%202011 - Chapter 17 Amplifier...

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27 -1 Chapter 17 Amplifier Frequency Response Lecture 27 Cover Section: 17.1 – 17.5

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Transfer Function and Bode Plot Midband gain and upper and lower cutoff frequencies that define bandwidth of amplifier are of more interest than complete transfer function. 27-2
Lower Cutoff Frequency In general, for n poles and n zeros, - 2245 n Zn n Pn L 2 2 2 ϖ ϖ ϖ 27 -3 ( 29 ( 29 1000 1 1 . 0 1 100 2000 ) ( + + + = s s s s s T L Example 1: Zeros are at s=0 and s =-100; Poles are at s= -10, s=-1000 Hz 158 2 ) 100 2 0 ( 2 2 1000 2 10 2 1 = + - + = π L f ( 29 ( 29 ( 29 1000 10 100 200 ) ( + + + = s s s s s L T All pole and zero frequencies are low and separated by at least a decade. Dominant pole is at ϖ =1000 and f L =1000/2 π = 159 Hz. For frequencies > a few rad/s: ( 29 1000 200 ) ( + = s s s L T

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Low-Frequency Response 27-4
Higher Cutoff Frequency In general, for n poles and n zeros, 27 -5 + + + = 8 6 9 10 1 10 1 10 1 50 ) ( S S S s T H Example 2: Zeros are at s= -10 9 ; Poles are at s= -10 6 , s= -10 8 Hz 159 ) 10 ( 1 2 ) 10 ( 1 ) 10 ( 1 2 1 2 9 2 8 2 6 = - + = π L f ϖ H 2245

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Lecture%2027_%20April%201%202011 - Chapter 17 Amplifier...

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