Class 1: Motivation, Signals, Systems, Policies

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Variations Class 1: Motivation, Signals, Systems, Policies 1. What are signals & systems? 2. Applications of signals & systems 3. What follows this class? 4. Syllabus & course policies

Variations Class 1: Motivation, Signals, Systems, Policies 1. What are signals & systems? 2. Applications of signals & systems 3. What follows this class? 4. Syllabus & course policies

Signals and Systems Question: What is a signal? 3

Signals and Systems Signals: time signals (1D signals) Continuous-time signals x(t) Discrete-time signals x[n] 4

Signals and Systems Signals: time signals (1D signals) Music Physical: Digital: x(t) x[n] 5

Signals and Systems Signals: Images (2D spatial signals) Photo: Digital: x(t 1, t 2 ) x[n 1, n 2 ] From USC-SIPI Image Database: http://sipi.usc.edu/database/ 6

Signals and Systems Signals: Images (2D spatial signals) Photo: Digital: x(t 1, t 2 ) x[n 1, n 2 ] From USC-SIPI Image Database: http://sipi.usc.edu/database/ 7

Signals and Systems Signals: Images (2D spatial signals) Photo: Digital: x(t 1, t 2 ) x[n 1, n 2 ] x[n] From USC-SIPI Image Database: http://sipi.usc.edu/database/ n 8

Signals and Systems Signals: Video (2D spatial + 1D time signals) Film: Digital: x(t 1, t 2, n) x[n 1, n 2, n] t 2 t 1 n 9

Signals and Systems Signals: chromatograms From University of Chicago: http://cancer-seqbase.uchicago.edu/ 10

Signals and Systems Question: What is a system? 11

Signals and Systems System: circuit R V C 12

Signals and Systems System: stock market 13

Signals and Systems System: communications message Message encoder 010101011101 Communication channel 14

Variations Class 1: Motivation, Signals, Systems, Policies 1. What are signals & systems? 2. Applications of signals & systems 3. What follows this class? 4. Syllabus & course policies

Signals and Systems Question: Where do we encounter signals and systems in real life? 16

Applications of Signals and Systems Signal/Image Processing (what is the signal? what is the system?) https://www.youtube.com/watch?v=gqu6_mjdwcu 17

Applications of Signals and Systems Controls (what is the signal? what is the system?) From reddit.com: http://www.reddit.com/r/gifs/comments/2cs7de/ball_and_plate_pid_control_with_6_dof_stewart/ 18

Applications of Signals and Systems Communications (what is the signal? what is the system?) https://www.youtube.com/watch?v=5qzg3sjphio 19

Amplitude 1 9 17 25 33 41 49 57 65 73 81 89 97 105 113 121 129 137 145 153 161 169 177 185 193 201 209 217 225 233 241 249 Applications of Signals and Systems 2015-2016 L3 Clinic Project: Low Probability of Detection Radar Goal: To detect radar systems that are designed to be hidden 3000 2000 2016 Best Clinic Team Award 1000 0-1000 -2000-3000 Time(0.5ms) 20

Applications of Signals and Systems 2015-2016 Senior Project: Low Probability of Detection Radar 2016 Best Senior Project Team Award Goal: To detect and locate damage in a metal structure 21

Variations Class 1: Motivation, Signals, Systems, Policies 1. What are signals & systems? 2. Applications of signals & systems 3. What follows this class? 4. Syllabus & course policies

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) [applied statistics] Multiple inputs, multiple outputs [applied linear algebra] 23

What is after ECE 3500? ECE 3500 Fundamentals of Signals and Systems ECE 3530 Eng. Prob. and Stats. ECE 3510 Intro To Feedback Sys (controls) ECE 5530 Digital Signal Processing ECE 5520 Digital Communication Systems ECE 6532 Digital Image Processing ECE 5510 Random Processes ECE 6540 Estimation Theory ECE 6530/6534 Adv. Digital Signal Processing I/II ECE 6550 Adaptive Filters ECE 6550 Information Theory Special Topics: ECE??? Wireless communications ECE??? Software Radio ECE??? Fading Channels ECE??? Caching Network 24

What is after ECE 3500? ECE 6540: Estimation Theory Statistical estimation of quantities and detection of events 25

What is after ECE 3500? ECE 6540: Estimation Theory Statistical estimation of quantities and detection of events 26

What is after ECE 3500? ECE 6534: Advanced Digital Signal Processing II Modern signal processing Long Exposure Coded Exposure Raw Raw Processed Processed 27

What is after ECE 3500? ECE 6534: Advanced Digital Signal Processing II Modern signal processing From: http://www.umiacs.umd.edu/~dikpal/projects/codedstrobing.html 28

What is after ECE 3500? ECE 6534: Advanced Digital Signal Processing II Modern signal processing Social Network The Brain 29

Variations Class 1: Motivation, Signals, Systems, Policies 1. What are signals & systems? 2. Applications of signals & systems 3. What follows this class? 4. Syllabus & course policies