LectureAid1-2

LectureAid1-2 - EE 541 Prof. John Choma, Professor Class...

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EE 541 Class Lecture Weeks 1 & 2 Two Port Filter Network Models And Analysis Fall 2008 Semester Prof. John Choma, Professor Ming Hsieh Department of Electrical Engineering 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] johnc@usc.edu
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USC Viterbi School of Engineering EE 541 Fall 2008/Choma 2 Overview of Lecture Overview of Lecture z Fundamental Types Of Filters ± Frequency Response ² Lowpass ² Bandpass ² Highpass ² Notch ± Constant Delay z Common Filter Characteristics ± Maximum Voltage Or Current Transfer ± Maximum Power Transfer ² Lossless Branch Elements ² 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 541 Fall 2008/Choma 3 + Z s Z l V s Lowpass Filter Z in Z out V o |H(j )| ω |H(0)| ω B 0 Ideal Lowpass Filter Ideal Lowpass Filter 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) o s V( j ω ) H(j ω ) j ω ) ± ω )H ( j 0 ) , 0 ω B = ≤< ω )0 , ω B = > in Re Z (j ω , 0 ω ⎡⎤ ≥≤ < ⎣⎦ out Re Z (j ω , 0 ω <
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USC Viterbi School of Engineering EE 541 Fall 2008/Choma 4 + 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 Ideal Bandpass Filter Ideal Bandpass Filter 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: o s V( j ω ) H(j ω ) j ω ) ± oo o BB ω )H ( j ω ), ωω ω 22 ⎛⎞ =− < < + ⎜⎟ ⎝⎠ o ω Q B
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USC Viterbi School of Engineering EE 541 Fall 2008/Choma 5 + Z s Z l V s Highpass Filter Z in Z out V o |H(j )| ω |H(j )| ω 0 ω c Ideal Highpass Filter Ideal Highpass Filter 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 o s V( j ω ) H(j ω ) j ω ) ± c ω )H ( j ), ω > ω = c ω )0 , ω < ω =
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USC Viterbi School of Engineering EE 541 Fall 2008/Choma 6 Ideal Notch Filter Ideal Notch Filter 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 ) j ω ) ± oo o BB ω )H ( j ω ), ω < ω < ω 22 ⎛⎞ =− +
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LectureAid1-2 - EE 541 Prof. John Choma, Professor Class...

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