lecture 5 - 9/15 lecture 5 Sunghoon Kwon 4+ Slide credit:...

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Unformatted text preview: 9/15 lecture 5 Sunghoon Kwon 4+ Slide credit: Professor Roger Howe, Stanford 11/12/09 “Phasor Analysis” of 2nd Order Circuit 11/12/09 Transfer Function of 2nd Order Circuit ω0 : resonant frequency 11/12/09 Limiting Cases H ( jω ) → 1, 1 ω << ω0 , ω << τ H ( jω ) dB → 0dB ω >> ω0 , 1 H ( jω ) → , 2 ( ω / ω0 ) 2 “-40 dB/decade” ω ω H ( jω ) dB → −20 log10 dB = −40 log10 dB ω ω 0 0 ω = ω0 H ( jω ) → 11/12/09 1 1 = jω0τ ω0τ ω For ω0τ << 1 , H ( jω ) “peaks” at = ω0 . Inductor­Capacitor “Tuning” 11/12/09 Find Peak Width ∆ω H ( j (ω0 − ∆ω 1 )) = = 2 2ω0τ 1 ∆ω 1 − 1 − 2ω 0 2 ∆ω 2 + ω0τ 1 − 2ω 0 2 11/12/09 Find Peak Width ∆ω = 1 Define Quality factor ( 11/12/09 : Bandwidth(BW) ) Magnitude Bode plot 11/12/09 Phase Bode plot 11/12/09 Transfer Function of 2nd­order LPF (textbook) kω0 H ( jω ) = 2 ( jω ) 2 + j 2ξω0ω + ω0 2 H ( jω ) = = 1 1 + jωRC − ω 2 LC (1 / LC ) ( jω ) 2 + jω ( R / L) + (1 / LC ) k : DC gain ω 0 : Corner frequency ξ : Damping ration 11/12/09 Transfer Function in General H ( jω ) dB = ∠ H ( jω ) = 11/12/09 Bode Plots of Poles, Zeros, and jω τ 11/12/09 Example 11/12/09 Magnitude Bode Plot 11/12/09 Phase Bode Plot 11/12/09 ...
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This note was uploaded on 11/12/2009 for the course EE 420.402 taught by Professor Lee during the Spring '08 term at Seoul National.

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lecture 5 - 9/15 lecture 5 Sunghoon Kwon 4+ Slide credit:...

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