ee 123 discussion section 7

20
EE 123 Discussion Section 7 Jon Tamir March 28, 2016 Based on notes from Giulia Fanti, Frank Ong, Michael Lustig Lecture 25

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Page 1: EE 123 Discussion Section 7

EE123DiscussionSection7JonTamir

March28,2016

BasedonnotesfromGiuliaFanti,FrankOng,MichaelLustig

❌Lecture 25

Page 2: EE 123 Discussion Section 7

Announcements

• HW8– tobereleasedlatertoday,dueFriday

• HW7selfgrade– duetoday

• Lab4– dueThursdayMarch31

• Midterm2– Monday,April4• SamepoliciesasthoseforMidterm1

• HAMradiospassedoutduringlabsessions

• Questions?

Page 3: EE 123 Discussion Section 7

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

Page 9: EE 123 Discussion Section 7

Problem3

A B

C D

Page 10: EE 123 Discussion Section 7

Solution3

A B

C D

C

BD

A

Page 11: EE 123 Discussion Section 7

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

Page 16: EE 123 Discussion Section 7

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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