SLIDE 1 Detection and Estimation Theory Lectures 17
Mojtaba Soltanalian- UIC
msol@uic.edu http://msol.people.uic.edu
Based on ECE 531 Slides- 2011 (Prof. Natasha Devroye) & http://ens.ewi.tudelft.nl/Education/courses/et4386/Slides/09.detection.pdf
SLIDE 2
Detection Theory
SLIDE 3
Detection Theory Examples: Radar
SLIDE 4
Detection Theory Examples: Digital Communication
SLIDE 5
Detection Theory Examples: Speech Processing
SLIDE 6
Detection Theory Examples: Tests in Medicine
SLIDE 7
Statistical Detection Theory Neyman-Pearson Theorem
SLIDE 8
Statistical Detection Theory Neyman-Pearson Theorem
SLIDE 9 Statistical Detection Theory Neyman-Pearson Theorem
Neyman-Pearson Theorem
SLIDE 10
Statistical Detection Theory Receiver Operating Characteristic (ROC)
SLIDE 11
Statistical Detection Theory Receiver Operating Characteristic (ROC)
SLIDE 12 Detection Theory
Deterministic Signals
SLIDE 13
Known Signal in Gaussian Noise >>> Matched Filter
SLIDE 14
>>> Matched Filter a.k.a. Correlator, or Replica-Correlator
SLIDE 15
>>> Matched Filter a.k.a. Correlator, or Replica-Correlator
The matched filter maximizes output SNR of the detector (over all linear filters):
SLIDE 16
Performance of Matched Filter
SLIDE 17
Generalized Matched Filter
SLIDE 18 Generalized Matched Filter
SLIDE 19
Performance of Generalized Matched Filters
SLIDE 20 Signal Design of Generalized Matched Filters
Hint: Q (.) is a decreasing function …
