The course aims to expose students and help them comprehend:
1. The problem of estimation and its applications
2. The various estimator structures and their properties
3. The problem of detection and its applications
4. The hypothesis tasting (formulation and solution)
5. The various methods of deterministic and stochastic signal detection
Course Content (Syllabus)
General Minimum Variance Unbiased Estimation
Cramer-Rao lower bound
Minimum Variance Unbiased Estimation of linear model parameters
Best linear unbiased estimator
Maximum likelihood estimators
Least squares estimators
Theory of detection:
Theory of statistical decisions.
Hypothesis testing and the Neyman – Pearson theorem
Hypothesis testing via Bayes risk minimization
Detection of deterministic signals in noise, the matched filter.
Detection of random signals in noise
Course Bibliography (Eudoxus)
1α. Fundamentals of Statistical Signal Processing, Volume 1: Estimation Theory, by Steven M. Kay, Prentice Hall, 1993
1β. Fundamentals of Statistical Signal Processing, Volume 2: Detection Theory, by Steven M. Kay, Prentice Hall 1998.