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Class 1: Motivation, Signals, Systems, PoliciesECE 3500: Fundamentals of Signals and Systems
VariationsClass 1: Motivation, Signals, Systems, Policies
1. Motivation for this class2. What are signals & systems?3. Syllabus & course policies
Class 1: Motivation, Signals, Systems, PoliciesECE 3500: Fundamentals of Signals and Systems
Signals and Systems Question: What is a signal?
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Class 1: Motivation, Signals, Systems, PoliciesECE 3500: Fundamentals of Signals and Systems
Signals and Systems Signals: time signals (1D signals) Continuous-time signals
Discrete-time signals
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𝑥𝑥(𝑡𝑡)
𝑥𝑥[𝑛𝑛]
Class 1: Motivation, Signals, Systems, PoliciesECE 3500: Fundamentals of Signals and Systems
Signals and Systems Signals: time signals (1D signals) Music
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𝑥𝑥(𝑡𝑡)
𝑥𝑥[𝑛𝑛]
Physical:
Digital:
Class 1: Motivation, Signals, Systems, PoliciesECE 3500: Fundamentals of Signals and Systems
Signals and Systems Signals: Images (2D spatial signals)
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From USC-SIPI Image Database:http://sipi.usc.edu/database/
𝑥𝑥(𝑡𝑡1, 𝑡𝑡2)
𝑥𝑥[𝑛𝑛1 ,𝑛𝑛2]
Photo:
Digital:
Class 1: Motivation, Signals, Systems, PoliciesECE 3500: Fundamentals of Signals and Systems
Signals and Systems Signals: Images (2D spatial signals)
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From USC-SIPI Image Database:http://sipi.usc.edu/database/
𝑥𝑥(𝑡𝑡1, 𝑡𝑡2)
𝑥𝑥[𝑛𝑛1 ,𝑛𝑛2]
Photo:
Digital:
Class 1: Motivation, Signals, Systems, PoliciesECE 3500: Fundamentals of Signals and Systems
Signals and Systems Signals: Images (2D spatial signals)
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From USC-SIPI Image Database:http://sipi.usc.edu/database/
𝑥𝑥(𝑡𝑡1, 𝑡𝑡2)
𝑥𝑥[𝑛𝑛1 ,𝑛𝑛2]
Photo:
Digital:
n
𝑥𝑥[𝑛𝑛]
Class 1: Motivation, Signals, Systems, PoliciesECE 3500: Fundamentals of Signals and Systems
Signals and Systems Signals: Video (2D spatial + 1D time signals)
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nt1
t2
𝑥𝑥(𝑡𝑡1, 𝑡𝑡2,𝑛𝑛)
𝑥𝑥[𝑛𝑛1 ,𝑛𝑛2,𝑛𝑛]
Film:
Digital:
Class 1: Motivation, Signals, Systems, PoliciesECE 3500: Fundamentals of Signals and Systems
Signals and Systems Signals: chromatograms
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From University of Chicago:http://cancer-seqbase.uchicago.edu/
Class 1: Motivation, Signals, Systems, PoliciesECE 3500: Fundamentals of Signals and Systems
Signals and Systems Question: What is a system?
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Class 1: Motivation, Signals, Systems, PoliciesECE 3500: Fundamentals of Signals and Systems
Signals and Systems System: circuit
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R
V C
Class 1: Motivation, Signals, Systems, PoliciesECE 3500: Fundamentals of Signals and Systems
Signals and Systems System: stock market
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Class 1: Motivation, Signals, Systems, PoliciesECE 3500: Fundamentals of Signals and Systems
Signals and Systems System: communications
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message Message encoder
Communication channel
010101011101
…
Class 1: Motivation, Signals, Systems, PoliciesECE 3500: Fundamentals of Signals and Systems
Signals and Systems Question: Where do we encounter signals and systems in real life?
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Class 1: Motivation, Signals, Systems, PoliciesECE 3500: Fundamentals of Signals and Systems
Applications of Signals and Systems Signal/Image Processing (what is the signal? what is the system?)
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http://users.fmrib.ox.ac.uk/~michielk/phdthesis.html
Class 1: Motivation, Signals, Systems, PoliciesECE 3500: Fundamentals of Signals and Systems
Applications of Signals and Systems Signal/Image Processing (what is the signal? what is the system?)
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https://www.youtube.com/watch?v=GQu6_MjDwcU
Class 1: Motivation, Signals, Systems, PoliciesECE 3500: Fundamentals of Signals and Systems
Applications of Signals and Systems Controls (what is the signal? what is the system?)
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From reddit.com: http://www.reddit.com/r/gifs/comments/2cs7de/ball_and_plate_pid_control_with_6_dof_stewart/
Class 1: Motivation, Signals, Systems, PoliciesECE 3500: Fundamentals of Signals and Systems
Applications of Signals and Systems Communications (what is the signal? what is the system?)
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https://www.youtube.com/watch?v=5qZG3sJpHIo
Class 1: Motivation, Signals, Systems, PoliciesECE 3500: Fundamentals of Signals and Systems
What is after ECE 3500? ECE 6534: Advanced Digital Signal Processing II Project #1:
— Fast Imaging in Cannula Microscope using Orthogonal Matching Pursuit— Ahmad B. Zoubi, K Supreet Alguri, Ganghun Kim (Mentor: Dr. Rajesh Menon)
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Class 1: Motivation, Signals, Systems, PoliciesECE 3500: Fundamentals of Signals and Systems
What is after ECE 3500? ECE 6534: Advanced Digital Signal Processing II Project #2:
— Scientific Influence and Social Prestige: A Twitter Network Analysis of Scientific Leaders— Richard Allred, Amir Javaheri, Arslan Majid, and Yixuwan Wang
(Mentor: Dr. Sara Yeo, Department of Communication)
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Class 1: Motivation, Signals, Systems, PoliciesECE 3500: Fundamentals of Signals and Systems
What we learn in ECE 3500 Fundamentals of signals and systems Signal and system analysis
Deterministic signals (non-random)
Single input, single output systems
What do complex courses cover? Signal and system design
Random signals (noisy – i.e., realistic) [tool: applied statistics]
Multiple inputs, multiple outputs [applied linear algebra]
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Class 1: Motivation, Signals, Systems, PoliciesECE 3500: Fundamentals of Signals and Systems
What is after ECE 3500?
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ECE 3500Fundamentals of Signals and Systems
ECE 5530Digital Signal Processing
ECE 6530/6534Adv. Digital
Signal Processing I/II
ECE 6532Digital Image
Processing
ECE 3510 Intro To Feedback Sys
(controls)
ECE 5670Control of
electric motors
ECE 6570Adaptive control
ECE 5520Digital Communication
Systems
ECE 5325Wireless
Communication Systems
ECE 6520Information
Theory
ECE 5510Random Process
ECE 6540Estimation Theory
Class 1: Motivation, Signals, Systems, PoliciesECE 3500: Fundamentals of Signals and Systems
Syllabus Let’s talk about the course syllabus.
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