215+Ch9 - 9. FREQUENCY RESPONSE CIRCUITS by Ulaby &...

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9. FREQUENCY RESPONSE CIRCUITS by Ulaby & Maharbiz
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Transfer Function Transfer function of a circuit or system describes the output response to an input excitation as a function of the angular frequency ω . Voltage Gain Other Transfer Functions Magnitude Phase
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Filters
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RC Low Pass
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RC High Pass
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Filter Terminology Z in 1 = R + j ω L. Im [ Z in 1 ] = 0 when ω = 0 Im [ Z in 2 ] = 0 requires that Z L = - Z C or, equivalently, ω 2 = 1/LC
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dB Scale
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RL Filter -- Magnitude Log scale for ω and dB scale for M
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RL Filter -- Phase Log scale for ω and linear scale for φ ( ω )
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Poles and Zeros
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Bode Plots
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Bode Plots: Straight line approximations Bode Magnitude Slope= 20N dB per decade Bode Phase Slope= 45N degrees per decade 1 decade 1 decade
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Bode Plots Bode Magnitude Slope= 40dB per decade Bode Phase Slope= 90 degrees per decade
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Bode Factors
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Example 9-4: Bode Plots Standard form Numerator: simple zero of second order with corner frequency 5 rad/s Denominator: pole @ origin, and simple pole with corner frequency 50 rad/s
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Example 9-5: More Bode Plots
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Example 9-6: Given Bode Plot, Obtain Expression
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Bandpass RLC Filter
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215+Ch9 - 9. FREQUENCY RESPONSE CIRCUITS by Ulaby &...

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