Bode Slides

Bode Slides - Simple Pole Amplitude Break point at = 1 0dB...

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©B obY o rk Simple Pole – Amplitude 1 () 1 Hs s Break point at ω = 1 0dB Slope: -20 dB/dec or -6 dB/octave 10 20log -3 dB
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©B obY o rk Simple Zero   () 1 Hs s Break point at ω = 1 0dB Slope: -20 dB/dec or -6 dB/octave 10 20log +3 dB
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©B obY o rk Bode Straight-Line Plot 0.1 a 0.01 aa 10 a 100 a Break point at ω = a Frequency, ω , [rad/s] Magnitude, |H|, dB 10 20 log ra Slope: -20 r dB/dec -6 r dB/octave 10 20 log r 1 () r Hs s a Correction: -3 r dB
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©B obY o rk Combination of Pole and Zero ++ 1 10 100 1 10 -1 10 -2 10 2 10 3 10 4 10( 100) () (1 ) s Hs s () 10 1 ) s ( ) ( 100) s 20 dB 0 dB 40 dB 20 dB 40 dB 60 dB Add together 0 lim ( ) 60dB s lim ( ) 20dB s  Constant A =10 Simple pole at s=-1 Simple zero at s=-100
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©B obY o rk 1 st -order High-Pass Slope: 20 dB/dec 10 () (1 ) s Hs s 20 0 -10 -20 10 30 17dB
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©B obY o rk Finding a Reference (1 ) 80dB Hj  2 nd -order break at ω = 100 -40dB/dec or -12dB/octave -66 dB -63 dB +20 dB/dec or +6 dB/octave 1 st -order break at ω = 10 See text 2 10 () ( 10)( 100) s Hs ss    2 2 22 4 10 1 ) 1 10 1 100 10 1 10 1 100 10 j jj  3 2 4 1
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Bode Slides - Simple Pole Amplitude Break point at = 1 0dB...

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