ee 123 discussion section 7
TRANSCRIPT
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EE123DiscussionSection7JonTamir
March28,2016
BasedonnotesfromGiuliaFanti,FrankOng,MichaelLustig
❌Lecture 25
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Announcements
• HW8– tobereleasedlatertoday,dueFriday
• HW7selfgrade– duetoday
• Lab4– dueThursdayMarch31
• Midterm2– Monday,April4• SamepoliciesasthoseforMidterm1
• HAMradiospassedoutduringlabsessions
• Questions?
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Plan
• Polesandzeros
• Midterm2topics
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Polesandzeros
Magnitude Phase Groupdelay
Poles pushup godown delay(positive)
Zeros pushdown goup advance(negative)
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Problem1
Consider
- Compute itsz-transformandplotthepolesandzeros- Sketch itsmagnituderesponse
Whataboutthepolezerodiagramfor
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Solution1
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Problem2
1 2 3 4
a b c d
Matchthefollowingmagnituderesponsetotheirpole-zeroplot
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Solution21
2
3
4
a
b
c
d
Butterworth
Chebyshev TypeII
Chebyshev TypeI
Elliptic
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Problem3
A B
C D
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Solution3
A B
C D
C
BD
A
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Problem4
b
c
ConsidertheproblemofreconstructingthesignalfromonlyitsFouriermagnitude|H(ejw )|2
Howdoesthepole-zeroplotof|H(ejw )|2 looklikecomparedtoH(ejw)?Hint:thez-transformof|H(ejw )|2isH(z)H*(1/z)
a
|H(ejw )|2
|H(ejw )|2
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Solution4
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Problem5
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Solution5
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Solution5
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Midterm2topics
• Time-frequencytiling• Time-frequencydecomposition• Sampling• Resampling• Multi-rate• Polyphase decomposition• Non-idealsampling• Filterdesign,TBW• Phaseresponse• Min-phase,all-pass,linear-phasesystems
HW8andpreviousmidterms
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Practiceproblem
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