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5351 MD Systems: Multidimensional Signal Analysis
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Tuesdays/ Thursdays 3 to 4:45 PM
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Zoom address (Dr. Marks's Zoom home):
https://baylor.zoom.us/j/2027613533?pwd=VmpzNUYrS2M1Rk96UlVGNWtMQVYxQT09
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Homework on Google Docs:
https://docs.google.com/document/d/1ByPESuHXGy7laxMuc7yZNt3Y5eWl3KmEJXbfDMsbMmc/edit?usp=sharing
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Text: R.J. Marks II, Handbook of Fourier Analysis & Its Applications (Oxford University Press)
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Amazon:
https://www.amazon.com/Handbook-Fourier-Analysis-Its-Applications/dp/0195335929
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Download:
https://robertmarks.org/REPRINTS/2009_Handbook.pdf
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Home Page for Book (including errata): https://www.handbookoffourieranalysis.com/
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Slides in Box
https://baylor.box.com/s/gcl4i5moxnf3up0wwi75fkf3pnrs4uc3
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Google Sheet
https://docs.google.com/spreadsheets/d/1GZ1R17fQHrRNF9vAK3z_NwTCE9c9GLBBnFAUShQoEQA/edit?usp=sharing
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Box HW Deposit
https://baylor.box.com/s/lhkfftpweb1c0pw9k2dqh5mg5o4x68k4
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Office HoursAfter class
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DateHomework
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1August 25Tuesday
Peruse Chapt 1 of text. Read Section 1.2
1 Introduction
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https://youtu.be/gor2Zo5fQwQ
2.2 Signal Classes
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Review: Chapt 2: 3,19,20,54
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HW1-Problems 1 & 2
Due Aug 31, 2020
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2August 27Thursday
https://youtu.be/zZue5XHcmHg
2.2 Signal Classes (cont)
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No Homework
2.3 The Fourier Transform
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3Sept 1Tuesday
https://youtu.be/_TiRDOsXgTY
2.3.1 The Continuous Time Fourier Transform
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Review: Chapt 2: 17, 28, 34, 41, 55
2.3.4 Some Continuous Time Fourier Transform Theorems
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HW2 - Problems 3, 4, 5, 6, 7
Due Sept 7, 2020
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4Sept 3Thursday
https://youtu.be/7Z5FlUvJumM
2.3.4 Some Continuous Time Fourier Transform Theorems
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5Sept 8Tuesday
https://youtu.be/p8B5Sq3FlvE
2.3.4 Some Continuous Time Fourier Transform Theorems
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Review: Chapt 2: 10, 24, 38, 39, 41, 49, 52
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HW3 - Problems 8 through 14
Due Sept 15
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6Sep 10Thursday
https://youtu.be/Fbf6GfowIqI
2. The Poisson Sum Formula
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7Sept 15Tuesday
https://youtu.be/1NkFOi5KKqI
2. The DFT
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Review: Chapt 2: 9, 11, 13, 30, 32
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HW4 -Problems 15 through 24
Due Sept 24
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8Sept 17Thursday
https://youtu.be/offLi_vbMqk
5 The Sampling Theorem 217
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9Sept 22Tuesday
https://youtu.be/J2Hria4ESi4
Chapt 2 Review
5.4 Properties
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Sept 24Thursday
Exam - no class
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10Sep 29Tuesday
https://youtu.be/RqAp3HNmdjI
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HW5 - Problems 25-31
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11Oct 1Thursday
https://youtu.be/ageztIHan3g
8.3 Visualizing Higher Dimensions 328
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12Oct 6Tuesday
https://youtu.be/-zxdGu7eZyY
8.3 Visualizing Higher Dimensions 328
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13Oct 8Thursday
https://youtu.be/nqjynI4u72Y
8.4 Continuous Time Multidimensional Fourier Analysis 330
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14Oct 13Tuesday
https://youtu.be/dx4dLB8N9sA
8.4.3 Multidimensional Convolution 333
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HW6 - Problems 32-36
8.4.4 Separability 334
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15Oct 15Thursday
https://youtu.be/1QmxNQBURrU
8.4.5 Rotation, Scale and Transposition 336
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16Oct 20Tuesday
https://youtu.be/T3X_gN_vWpQ
Hankel Transforms
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HW7 - Problems 37-44
Due Oct 27
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17Oct 22Thursday
https://youtu.be/VaTfQgs4Hsc
8.5 Characterization of Signals from their Tomographic Projections 345
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18Oct 27Tuesday
https://youtu.be/WelQwVBDBlU
Homework Problems
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19Oct 29Thursday
https://youtu.be/XZaKpXAI1zw
Radon Transform / Periodicity
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HW8 - Problems 45-49
Due Nov 5
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20Nov 3Tuesday
https://youtu.be/mroyB9AidGA
8.6 2D Fourier Series 352
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HW9 - Problems 50-53
Due Nov 22
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21Nov 5Thursday
https://youtu.be/jAXTXSGY07k
8.9 The Multidimensional Sampling Theorem 373
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22Nov 10Tuesday
https://youtu.be/F_3jcu4Zu88
8.9 The Multidimensional Sampling Theorem 373
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23Nov 12Thursday
https://youtu.be/QUiF-MJjm8E
11 Signal and Image Synthesis: Alternating Projections Onto Convex Sets 495
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24Nov 17Tuesday
https://youtu.be/MPylQghm8kA
11.2 Geometical POCS 496
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25Nov 19Thursday
https://youtu.be/E2Q8Q7Y4MK8
11.3 Convex Sets of Signals 501
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26Nov 24Tuesday
https://youtu.be/Alp8XimaOHY
11.3.2 Some Commonly Used Convex Sets of Signals 504
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27Dec 1Tuesday
https://youtu.be/aBgG-iiFVrY
POCS
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