Lecture Notes

 

Week

Dates

Title

Reading

Lecture Notes

Assignments

 

1

Sep. 1 ¡V 7

Discrete-Time Signals à Different types of LTI systems

Sec 2.0 - 2.9

Lec 1

 

Groups

 

Prob. Set 1

In-class assignment 1

 

2

Sep. 8 ¡V 14

Linear constant-coefficient difference equation,  DTFT (end of Ch. 2), Eigenfunction, z-plane, ROC

Sec 3.0 ¡V 3.4

Lec 2

 

Prob Set 2

 

In-class assignment 2

 

 

3

Sep. 15 ¡V 21

DTFT vs. z-Transform à end of Ch. 3

Up to Nyquist Sampling Theorem

Sep 17th (Tue): Mid-Autumn Festival:  NO CLASS!

Watch video on the content above to prepare for the in-class assignment on Thu.

Sec 4.0 ¡V 4.3

Lec 3

 

Prob Set 3

In-class assignment 3

4

Sep. 22 ¡V 28

Reconstruction of bandlimited signals

à Changing sampling rate by a rational factor

Sec 4.4 ¡V 4.6

Prob Set 4

In-class assignment 4

 

5

Sep. 29 ¡V  Oct. 5

Digital Processing of Analog Signals à D/A Recon. Filter (end of Ch. 4)

Frequency response of LTI system à Narrowband signals in communication systems

Sec 4.7 ¡V 4.8

Prob Set 5

In-class assignment 5

6

Oct. 6 ¡V 12

Ch. 5 p. 10 example à Frequency response compensator

Oct 10th (Thu): National Day (No Class)

In-class assignment will be done at home from 16:30 ¡V 18:00 (upload scanned copy of the assignment to E3 before 18:00)

Sec 5.0 ¡V 5.3

Lec 4

 

Prob Set 6

In-class assignment 6

 

7

 

Oct. 13 ¡V 19

Properties of minimum phase systems à End of Ch. 5

Sec 5.4 ¡V 5.7

Prob Set 7

In-class assignment 7

 

 

 

Oct. 25 (Fri)

Midterm, 18:30 ~ 20:30, Location: ED 101

DTFT/DFS/DFT table

z-Transform table

Trigonometric table

All tables

Filter design tables and equations

Sample 2004 midterm

Sample 2006 midterm

 

 

8

Oct. 20 ¡V  26

All Ch. 6 (until Sec. 6.7)

Sec 6.1 ¡V 6.7

Lec 5

Linear_phase.m

Midterm review

 

Prob Set 8

 

In-class assignment 8

 

In-class assignment 8 solution

 

 

9

Oct. 27 ¡V Nov. 2

Filter design: p. 1 ¡V 26 (including all of impulse invariance method)

Sec. 7.0-7.1.1

Lec 6

 

Prob Set 9

 

In-class assignment 9

 

Programming Assignment 1

10

Nov. 3 ¡V 9

 

Billinear transformation à End of IIR filter design

Sec 7.1.2-end of 7.1

Prob Set 10

 

In-class assignment 10

 

11

 

Nov. 10 ¡V16

FIR filter design à Least-squares FIR filter design

Sec 7.2, 7.3, LS design (notes only)

Prob Set 11

In-class assignment 11

 

12

Nov. 17 ¡V 23

FIR filter design using linear programming à End of Ch. 7

Notes only

Prob Set 12

 

In-class assignment 12

 

Programming Assignment 2

 

13

 

Nov. 24 ¡V 30

DFT à Comparison with uniform sampling in time (p. 22 in notes)

Sec 8.0 ¡V 8.4

Lec 7

 

Prob Set 13

In-class assignment 13

 

14

Dec 1 ¡V7

Relationship between x[n] and [n] à End of Ch. 8 (until Sec. 8.7)

Sec 8.5 ¡V 8.7

Prob Set 14

In-class assignment 14

 

15

Dec 8  ¡V 14

FFT

Sec 9.0 ¡V 9.1, 9.3, 9.4, 9.5.3 + notes on Cooley-Tukey algorithm

Lec 8

 

Prob Set 15

 

In-class assignment 15

 

In-class assignment 15 solution

 

 

16

Dec. 17 (Tue)

Final Exam, 13:20 ~ 15:30, Location: ED 101

 

Review

 

Course Wrap-up

 

Sample 2004 Final


Sample 2006 Final

 

 

 

 

 

 

 

 

 

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