Standard Course Syllabus Course Supervisor Date of Approval

Dept. of Electrical and Computer Engineering Moses February 17, 1999

806 Signal Detection and Estimation

2. CATALOG DESCRIPTION

Binary and M-ary decision theory; Bayes, minimax, ideal, and Neyman-Pearson detectors; maximum likelihood and

maximum a posteriori estimation; and receiver operating characteristics.

Quarters of Offering Credits
Level Class Meeting

Sp Qtr. 3 G 3 cl.

Course Prerequisites

Prereq: 805.

3. PREREQUISITES BY TOPIC

Random variables, probability density functions, expectation operator, conditional expectation and conditional probability,

statistical independence, random processes, convergence of random sequences, linear algebra.

Courses that require this as a direct prerequisite

807, 808

4. Text(s) and Other Course Materials Author(s) Publisher

An Introduction to Signal Detection and Estimation, 2nd Ed. H. V. Poor Springer

References (supplemental reading)

[1] Communications and Networks: A Survey of Recent Advances, Blake \& Poor (Springer- Verlag: 1986)

[2] Abstract Inference, Grenander (Wiley: 1981)

[3] Elements of Signal Detection and Estimation, Helstrom (Prentice Hall: 1995)

[4] Statistical Theory of Signal Detection, 2nd ed., Helstrom (Pergamon: 1968)

[5] Testing Statistical Hypotheses, Lehmann (Wiley: 1986)

[6] Theory of Point Estimation, Lehmann (Wiley: 1983)

[7] Detection, Estimation, and Modulation Theory, Van Trees (Wiley: 1971)

[8] Probability and Random Processes, Viniotis (McGraw Hill:1998)

5. COURSE OBJECTIVES

1. Students learn the theory of likelihood-ratio based hypothesis testing and signal detection in noise. (Criterion 3(a))

2. Students learn the theory of optimal parameter estimation; properties of estimators; and learn the tools for analysis of the

efficacy of parameter estimators. (Criterion 3(a))

3. Students learn to design and analyze optimal and sub-optimal detection and estimation algorithms under realistic

conditions. (Criteria 3(b),(c),(e),(g),(k))

6. TOPICS AND (# OF LECTURES)

Basic Hypothesis Testing: Bayesian Hypothesis Testing, Minimax Hypothesis Testing, Neyman-Pearson Hypothesis

Testing, Composite Hypothesis Testing (9)

Signal Detection in Discrete Time: Deterministic Signals, Stochastic Signals (8)

Basic Parameter Estimation: Bayesian Parameter Estimation, Minimum-Variance Unbiased Estimators, Properties of

Estimators, Maximum-Likelihood Parameter Estimation (14)

7. CLASS MEETING PATTERN (For example, "3cl." means 3 48-min classes per week.)

3 cl.

Thursday, August 14, 2008 09:22 AM

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