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MATH 464 , Spring 2009: Notes and Summary

Lecture Date What was covered Notes
1 Jan. 27 Example of a Signal Processing Algorithm -
2 Jan. 29 Review of analysis get assignment 1
3 Feb. 3 Review analysis. Heat equation return assignment 1
4 Feb. 5 Heat equation. Fourier Transform Def. get assignment 2
5 Feb. 10 Fourier series. Plancherel theorem return assignment 2
6 Feb. 12 Fourier series inversion (1). Example -
7 Feb. 17 Fourier series inversion (2). Example get assignment 3
8 Feb. 19 Gibbs' Phenomenon - 
9 Feb. 24 Fourier Transform: inversion, Plancherel, Poisson Summation Formula return assignment 3, get assignment 4
10 Feb. 26 Example of Fourier transforms -
11 Mar. 3 Properties of Fourier transform (1)  return assignment 4, get assignment 5
12 Mar. 5 Properties (2): convolution -
13 Mar. 10  Applications of FT return assignment 5
14 Mar. 12 Mid Term Exam MID TERM
15 Mar. 17 No Class Spring Break
16 Mar. 19 No Class Spring Break  
17 Mar. 24 Convolution of sequences; impulse response of Linear Time Invariant (LTI) systems -
18 Mar. 26 Introductions to distributions -
 19 Mar. 31 Test functions get assignment 6 
20 Apr. 2 Distributions (1) -
21 Apr. 7 Distributions (2) return assignment 6, get assignment 7
22 Apr. 9 Convolution of distributions -
23 Apr. 14 Fourier transform of distributions return assignment 7, get assignment 8
24 Apr. 16 Solving equations with distributions (1) -
25 Apr. 21 Solving equations with distributions (2) return assignment 8, get assignment 9
26 Apr. 23 Solving differential equations with distributions. Sampling theory: Intro return assignment 8
27 Apr. 28 Sampling theory -
28 Apr. 30 Uncertainty principle return assignment 9, get assignment 10
29 May. 5 Instantaneous Frequency, Hilbert Transform -
30 May. 7 Short-time Fourier transform (1) return assignment 10
31 May. 12 STFT: Radar Detection Last Class