253-7-freq-response-1

# 253-7-freq-response-1 - EECE 253 Frequency Response Slide...

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Unformatted text preview: EECE 253: Frequency Response Slide 7.1.1 Frequency Response • Transfer Function (Chap 14.2) • Decibel Scale (Chap 14.3) • Bode Plots (Chap 14.4) • Series Resonance (Chap 14.5) • Parallel Resonance (Chap 14.6) • Passive Filters (Chap 14.7) • Active Filters (Chap 14.8) EECE 253: Frequency Response Slide 7.1.2 A transfer function (TF) is a ratio of two s-domain signals, assuming the system is relaxed (i.e., all initial conditions are zero). Transfer Function (s domain) ω σ j s + = ) ( ) ( ) ( s X s Y s H = X(s) : input excitation Y(s) : output response Input and output can be current or voltage at any place in the circuit. Special case: ω σ j s = = then , EECE 253: Frequency Response Slide 7.1.3 Transfer Function (frequency domain) • The transfer function H( ω ) of a circuit is the frequency-dependent ratio of a phasor output Y ( ω ) (an element voltage or current ) to a phasor input X ( ω ) (source voltage or current). φ ω ω ω ω ∠ = = | ) ( H | ) ( X ) ( Y ) ( H For sinusoid functions EECE 253: Frequency Response Slide 7.1.4 Transfer Function • Four possible transfer functions: ) ( V ) ( V gain Voltage ) ( H i o ω ω ω = = ) ( I ) ( I gain Current ) ( H i o ω ω ω = = ) ( I ) ( V Impedance Transfer ) ( H i o ω ω ω = = ) ( V ) ( I Admittance Transfer ) ( H i o ω ω ω = = φ ω ω ω ω ∠ = = | ) ( H | ) ( X ) ( Y ) ( H EECE 253: Frequency Response Slide 7.1.5 What is Frequency Response of a Circuit?...
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253-7-freq-response-1 - EECE 253 Frequency Response Slide...

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