49593

# 49593 - EE 541 Class Lecture Weeks 1 &amp; 2 Two Port...

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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] johnc@usc.edu 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 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
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 ) 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 < 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 ) j ω ) ± oo o BB ω )H ( j ω ), ωω ω 22  =− < < +   o ω Q B Ideal Bandpass Filter Ideal Bandpass Filter
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 ) j ω ) ± c ω )H ( j ), ω > ω = c 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 ) j ω ) ± oo o
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## This note was uploaded on 12/12/2009 for the course EE 541 taught by Professor Choma during the Fall '06 term at USC.

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49593 - EE 541 Class Lecture Weeks 1 &amp; 2 Two Port...

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