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49593 - EE 541 Class Lecture Weeks 1 2 Two Port Filter...

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EE 541 Class Lecture Weeks 1 & 2 Prof. John Choma, Professor Department of Electrical Engineering- Electrophysics University of Southern California University Park; MC: 0271; PHE #604 Los Angeles, California 90089-0271 213-740-4692 [USC Office] 213-740-7581 [USC Fax] [email protected] Two Port Filter Network Models And Analysis Fall 2006 Semester
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USC Viterbi School of Engineering EE 536 Fall 2005 Lecture #02/Choma 2 Overview of Lecture Overview of Lecture z Fundamental Types Of Filters Frequency Response Lowpass Bandpass Highpass Notch Constant Delay z Common Filter Characteristics Maximum Voltage Or Current Transfer Maximum Power Transfer Lossless Branch Elements Input And Output Port Impedance Matching z Two Port Network Models y-Parameters z-Parameters c-Parameters
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USC Viterbi School of Engineering EE 536 Fall 2005 Lecture #02/Choma 3 z System Level Diagram And Response z Basic Filter Properties Constant “Gain” Within Filter Passband: Zero “Gain” In Stopband: Designable Passband Gain Or Attenuation, | H(0)| Designable Bandwidth, B z Positive Real Impedance Requirement (All Filters) + Z s Z l V s Lowpass Filter Z in Z out V o |H(j )| ω |H(0)| ω B 0 o s V (j ω ) H(j ω ) V (j ω ) ± H(j ω ) H(j0) , 0 ω B = < H(j ω ) 0, ω B = > in Re Z (j ω ) 0, 0 ω < ∞ out Re Z (j ω ) 0, 0 ω < ∞ Ideal Lowpass Filter Ideal Lowpass Filter
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USC Viterbi School of Engineering EE 536 Fall 2005 Lecture #02/Choma 4 z System Level Diagram And Response z Basic Filter Properties Constant “Gain” Within Filter Passband: Zero “Gain” In Low And High Frequency Stopbands Designable Passband Gain Or Attenuation, | H(j ω o )| Designable Bandwidth, B, And Center Or Tuned Frequency, ω o Resultantly Designable Quality Factor: + Z s Z l V s Bandpass Filter Z in Z out V o |H(j )| ω |H(j )| ω o ω ω o +B/2 0 ω o B/2 B ω o o s V (j ω ) H(j ω ) V (j ω ) ± o o o B B H(j ω ) H(j ω ) , ω ω ω 2 2 = < < + o ω Q B ± Ideal Bandpass Filter Ideal Bandpass Filter
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USC Viterbi School of Engineering EE 536 Fall 2005 Lecture #02/Choma 5 z System Level Diagram And Response z Basic Filter Properties Constant “Gain” Within Filter Passband: Zero “Gain” In Stopband: Designable Passband Gain Or Attenuation, | H(j )| Designable Cutoff Frequency, ω c z Positive Real I/O Impedance Requirement Remains For This And All Other Passive Filters + Z s Z l V s Highpass Filter Z in Z out V o |H(j )| ω |H(j )| ω 0 ω c o s V (j ω ) H(j ω ) V (j ω ) ± c H(j ω ) H(j ) , ω > ω = c H(j ω ) 0, ω < ω = Ideal Highpass Filter Ideal Highpass Filter
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USC Viterbi School of Engineering EE 536 Fall 2005 Lecture #02/Choma 6 z System Level Diagram And Response z Basic Filter Properties Constant Attenuation Within Filter Stopband: Constant “Gain” In Low And High Frequency Passbands Designable Stopband Attenuation Factor, | H(j ω o )| / |H(0)| Designable Stopband Bandwidth, B, And Notch Frequency, ω o Resultantly Designable Quality Factor: + Z s Z l V s Notch Filter Z in Z out V o |H(j )| ω |H(j )| ω o ω ω o +B/2 0 ω o B/2 B ω o |H(0)| o s V (j ω ) H(j ω ) V (j ω ) ± o o o B B H(j ω
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