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Page 1: Introduction & Motivationhome.ku.edu.tr/~alperdogan/elec530/firstlecture.pdf · Introduction & Motivation Course Logistics Course Plan Brief Definitions of Detection & Estimation

Introduction & Motivation

Page 2: Introduction & Motivationhome.ku.edu.tr/~alperdogan/elec530/firstlecture.pdf · Introduction & Motivation Course Logistics Course Plan Brief Definitions of Detection & Estimation

Course Logistics Course Plan Brief Definitions of Detection & Estimation Applications of Detection & Estimation

Page 3: Introduction & Motivationhome.ku.edu.tr/~alperdogan/elec530/firstlecture.pdf · Introduction & Motivation Course Logistics Course Plan Brief Definitions of Detection & Estimation

Instructor: Alper Erdogan (ENG 221) Web:http://home.ku.edu.tr/~alperdogan/elec304/P

rerequisites:i. Basic Probability (such as ENG 200)ii. Basic Stochastic Processes ( as in ELEC

316)iii. Basic Linear Algebra iv. Signals & Systems (as in ELEC 201)

Page 4: Introduction & Motivationhome.ku.edu.tr/~alperdogan/elec530/firstlecture.pdf · Introduction & Motivation Course Logistics Course Plan Brief Definitions of Detection & Estimation

Reference:Introduction to Statistical Signal Processing:

Estimation Theory by Kay In class lecture notes+books on reserve Grading: Homeworks+Exams Questions?

Page 5: Introduction & Motivationhome.ku.edu.tr/~alperdogan/elec530/firstlecture.pdf · Introduction & Motivation Course Logistics Course Plan Brief Definitions of Detection & Estimation

£ Desired Not accessible= Not observable

x Accessible= Observable

Use x to guess £

Page 6: Introduction & Motivationhome.ku.edu.tr/~alperdogan/elec530/firstlecture.pdf · Introduction & Motivation Course Logistics Course Plan Brief Definitions of Detection & Estimation

Basic Probability Review Estimation (Classical vs. Bayesian) Linear Estimation Detection

Page 7: Introduction & Motivationhome.ku.edu.tr/~alperdogan/elec530/firstlecture.pdf · Introduction & Motivation Course Logistics Course Plan Brief Definitions of Detection & Estimation

First and informal attempt on what they are.. What they are in four words:I. Detection: Guessing DISCRETEDISCRETE valued

objects. Simple example:

11101

Communication Channel Detector

11101

11001

Page 8: Introduction & Motivationhome.ku.edu.tr/~alperdogan/elec530/firstlecture.pdf · Introduction & Motivation Course Logistics Course Plan Brief Definitions of Detection & Estimation

Now the definition for Estimation:I. Estimation: Guessing CONTINOUSCONTINOUS valued

objectsSimple Example: Direction Finding

Page 9: Introduction & Motivationhome.ku.edu.tr/~alperdogan/elec530/firstlecture.pdf · Introduction & Motivation Course Logistics Course Plan Brief Definitions of Detection & Estimation

Image Restoration (Estimation)

Page 10: Introduction & Motivationhome.ku.edu.tr/~alperdogan/elec530/firstlecture.pdf · Introduction & Motivation Course Logistics Course Plan Brief Definitions of Detection & Estimation

Baby Heart Monitoring (Estimation)

Page 11: Introduction & Motivationhome.ku.edu.tr/~alperdogan/elec530/firstlecture.pdf · Introduction & Motivation Course Logistics Course Plan Brief Definitions of Detection & Estimation

Communication Example in more detail

VoiceEncoder

Modem10111

DetectionAlgorith

m

10111

Page 12: Introduction & Motivationhome.ku.edu.tr/~alperdogan/elec530/firstlecture.pdf · Introduction & Motivation Course Logistics Course Plan Brief Definitions of Detection & Estimation

Image Classification

Page 13: Introduction & Motivationhome.ku.edu.tr/~alperdogan/elec530/firstlecture.pdf · Introduction & Motivation Course Logistics Course Plan Brief Definitions of Detection & Estimation

Face Detection & Classification

Page 14: Introduction & Motivationhome.ku.edu.tr/~alperdogan/elec530/firstlecture.pdf · Introduction & Motivation Course Logistics Course Plan Brief Definitions of Detection & Estimation

Radar Weather Forecast

Page 15: Introduction & Motivationhome.ku.edu.tr/~alperdogan/elec530/firstlecture.pdf · Introduction & Motivation Course Logistics Course Plan Brief Definitions of Detection & Estimation

Tracking Mobile Phones

Page 16: Introduction & Motivationhome.ku.edu.tr/~alperdogan/elec530/firstlecture.pdf · Introduction & Motivation Course Logistics Course Plan Brief Definitions of Detection & Estimation

Fluorescent Molecule Tracking