bode_plot_example_ee325

bode_plot_example_ee325 - ECEN325: Electronics Fall 2011...

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Sam Palermo ECEN325: Electronics Fall 2011 Bode Plot Example
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RC Transfer Function 2 ( ) ( ) ( ) ( ) s V sRC s V sC R sC s V Z Z Z s V in in in C R C o + = + = + = 1 1 1 1 ( ) ( ) ( ) f j j s sRC s V s V s F in o π ω 2 where 1 1 = = + = = AC Transfer Function, F(S)
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Bode Plots Technique to plot the Magnitude (squared) and Phase response of a transfer function Magnitude is plotted in Decibels (dB), which is a power ratio unit 3 ( ) ( ) ( ) ( ) ( ) ( ) ( ) dB log 20 dB log 10 10 2 10 2 ω j F j F j F dB = Phase is typically plotted in degrees ( ) ( ) ( ) ( ) ( ) ( ) = j F j F j F Re Im tan Phase 1
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RC Bode Plot Example 4 ( ) ( ) ( ) ( ) rad/s 10 where , 1 1 10 1 1 10 1 1 10 1 1 1 1 5 1 1 5 5 5 = = + = + = + = + = = p p j j s F j s sRC s V s V s F in o ω ( ) ( ) ( ) ( ) + = + = 2 5 10 10 2 5 10 10 10 1 log 20 1 log 20 10 1 1 log 20 log 20 j F ( ) ( ) ( ) 5 1 10 tan Phase = j F Magnitude: Phase:
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RC Bode Plot Example 5 ω (rad/s) |F(j ω )| |F(j ω )| 2 20log 10
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This note was uploaded on 01/01/2012 for the course ECEN 325 taught by Professor Silva during the Spring '08 term at Texas A&M.

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bode_plot_example_ee325 - ECEN325: Electronics Fall 2011...

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