G s s s s s s 1 2 10 1100 1 104 6 8 Plot APlot B Plot C Plot D Plot

G s s s s s s 1 2 10 1100 1 104 6 8 plot aplot b plot

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G s s s s s s ( ) = + × + + + × + 1 2 10 1 100 1 5000 1 4 10 1 10 4 6 8 Plot A Plot B Plot C Plot D Plot E
55 Prof. C.K. Tse: Dynamic circuits: Frequency domain analysis Bode plots: standard forms 1. Simple pole 2. Simple zero 3. Integrating pole 4. Differentiating zero 5. Constant 6. Complex pole pair G s s p ( ) = + 1 1 G s s z ( ) = + 1 G s s p ( ) / = 1 G s s z ( ) = G s A ( ) = G s s s n n ( ) = + + 1 1 2 2 2 ς ω ω
56 Prof. C.K. Tse: Dynamic circuits: Frequency domain analysis Bode plots: standard forms Simple pole: (logscale) (logscale)
57 Prof. C.K. Tse: Dynamic circuits: Frequency domain analysis Bode plots: standard forms Simple zero: (logscale) (logscale)
58 Prof. C.K. Tse: Dynamic circuits: Frequency domain analysis Bode plots: standard forms Integrating pole: (logscale) (logscale)
59 Prof. C.K. Tse: Dynamic circuits: Frequency domain analysis Bode plots: standard forms Differentiating zero: (logscale) (logscale)
60 Prof. C.K. Tse: Dynamic circuits: Frequency domain analysis Bode plots: standard forms Constant: (logscale) (logscale)
61 Prof. C.K. Tse: Dynamic circuits: Frequency domain analysis Bode plots: standard forms Complex pole pair (logscale) (logscale)
62 Prof. C.K. Tse: Dynamic circuits: Frequency domain analysis Example simple zero simple pole constant differentiating pole Note: ω = 2 π f If ω = 200 π rad/s, f = 100 Hz.
63 Prof. C.K. Tse: Dynamic circuits: Frequency domain analysis Example
64 Prof. C.K. Tse: Dynamic circuits: Frequency domain analysis Semi-log graph paper allows compressed x-axis 1 10 100 10 3 10 4 10 5 10 6 Effectively, the x-axis is being log’ed 0 1 2 3 4 5 6 usual label for practical convenience

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• Summer '16
• Martin Chow
• Signal Processing, Complex number, Complex Plane, Prof. C.K. Tse

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