Math 19 Fall 2009 Schedule (also see the syllabus)

Prof. Tanya Leise

MWF 1pm Mudd202 and Th 9am Mudd014

Date
Topic
Homework/Handouts/Links
9/8-9/11

 
T (Monday schedule)
Introduction and Sections 1.1-1.3
 
W
1.4-1.5 Vector spaces and basic waveforms Exercises 1.2-1.11 (due 9/16)
Th
Lab1: Intro to Matlab, in 014
Work through tutorial and fill out worksheet
Handy Matlab reference guide
F
1.6-1.8 Sampling, aliasing, orthogonality Exercises 1.13-1.21 (due 9/18)
9/14-9/18

 
M
1.8-1.9 Digitization Exercises 1.22-1.33 (due 9/21)
W
1.10 Infinite-dimensional inner product spaces Exercises 1.34-1.41 (due 9/25)
Th
Lab 2: Matlab project 1.11 p56-61
(Bring text with you to 014)
 
F
More on Fourier series  
9/21-9/25
   
M
2.1-2.3 Discrete Fourier transform Exercises 2.1-2.3 (due 9/28)
W
2.4-2.5 1D DFT and its properties Exercises 2.4-2.8 (due 9/30)
Th
Lab 3 Fourier series  
F
2.6 FFT Exercises 2.10-2.11 (due 10/2)
9/28-10/2
   
M
2.7 2D DFT Exercises 2.13-2.17 (due 10/2)
W
3.1-3.3 Discrete cosine transform Exercises 3.1-3.3 (due 10/9)
Th
Lab 4 Project 2.8.2 p99-101  
F
Review  
10/5-10/9
   
M
Exam 1: Chapter 1-2  
W
3.4-3.5 DCT and its properties Exercises 3.5-3.10 (due 10/13)
Th
Lab 5 DFT vs DCT and kdct.m
 
F
3.6-3.7 2D DCT and block transforms
Matlab scripts: kdct2d.m kidct.m kidct2d.m blkdct2.m blkidct2.m

Exercises 3.11-3.16 (due 10/16)
Fall Break

 
10/13-16
   
W
3.8 JPEG Exercises 3.18, 3.20 (due 10/21)
Th

Lab 6 Project 3.9 #4-6 p 133-134
jpegdemo jpegprogressive

 
F
4.1-4.3 Convolution and filtering Exercises 4.1-4.3, 4.9-4.10 (due 10/23)
10/19-10/23
   
M
4.4 2D convolution Exercises 4.14-4.16, 4.18, 4.20 (due 10/26)
W
4.5 Infinite signal models Exercises 4.24, 4.26-4.28, 4.32-4.35 (due 10/30)
Th
Lab 7 Project 4.6.3 p 173  
F
5.1-5.2 Windowing and localization Exercises 5.1, 5.3, 5.8, 5.9 (due 10/30)
10/26-10/30
   
M
6.1-6.2 Filter banks  
W
6.3 One-stage two-channel filter bank Exercises 6.1, 6.3, 6.6, 6.7 (due 11/6)
Th
Lab 8 Project 5.3 p195-197
spectro.m gausswindow.m triwindow.m rectwindow.m hammingwindow.m
 
F
6.4 Multistage filter banks  
11/2-11/6
   
M
6.5 Filter banks for finite length signals Exercises 6.11, 6.13, 6.14 (due 11/9)
W
6.6 2D DWT and JPEG 2000  
Th
Lab 9 Project 6.9.1 and 6.9.3 p 255-258
kdownsample.m
wave1.m invwave1.m kupsample.m
imwave1.m invimwave1.m imwavefull.m invimwavefull.m
 
F
6.7 Filter design Exercises 6.16, 6.21, 6.22, 6.25, 6.29 (due 11/11)
11/9-11/13

 
M
Finish Chapter 6 Exercises 7.1, 7.4, 7.7 (due 11/18)
W
7.1-7.2 Wavelets and the Haar basis  
Th
Lab 10 Haar series
How to use Mathematica to find Haar series
 
F
Review Choose project topic by 11/13
11/16-11/20
   
M
Exam 2: Chapter 3-6  
W
7.2 Haar wavelets Exercises 7.8, 7.9, 7.12 (due 12/4)
Th
No lab -- catch your breath before Thanksgiving
 
F

7.3 Haar wavelets vs Haar filter bank

 
Thanksgiving

 
11/30-12/4

 
M
7.4 Orthogonal wavelets Exercises 7.13, 7.14, 7.19, 7.21(due 12/7)
W
7.4 Scaling function and its properties  
Th
Lab 11 Project 7.6.1 p 318-320  
F
7.4 Wavelets and MRA Exercises 7.22, 7.23, 7.24 (due 12/11)
12/7-12/11
   
M
7.5 Biorthogonal wavelets Exercises 7.25-28 (due 12/14)
W
Finish Chapter 7  
Th
Lab 12 Project 7.6.2 p 320-321  
F
Project meetings  
12/14

 
M
Recap
 

   

Final written project report due 4pm Fri 12/18

Take-home exam due noon Mon 12/21