Statistical and Adaptive Signal Processing

If you want to participate in this course, please register via C@mpus.

Important: The course material can be found on ILIAS

***NEWS***
Statistical and adaptive signal processing (SASP) module moved from SS to WS. So no SASP course in SS2019.
For more information, see here.

Dates

Note: This master's lecture can also be counted as elective / elective subject of students of the old diploma program.

Contents of the Lecture

1. Introduction

2. Classical Parameter Estimation

  • Estimate and Estimator
  • Accuracy of an Estimator
  • Cramer-Rao Bound (CRB)
  • Maximum Likelihood (ML) Estimate
  • Transform of Parameters
  • Method of Least Squares

3. Bayesian Parameter Estimation

  • Basic Idea
  • Maximum A Posteriori Estimation (MAP)
  • Minimum Mean Squared Error Estimation (MMSE)
  • Linear MMSE Estimation

4. Wiener Filter

  • Introduction
  • Wiener-Hopf Equation
  • Method of Steepest Descent
  • Optimum Linear Prediction and FIR Filtering

5. Kalman Filter

  • Signal Model
  • Problem Formulation
  • Algorithm
  • Extended Kalman Filter

6. Adaptive Filter

  • Basic Principle
  • Least Mean Square Algorithm
  • General Stochastic Gradient Method
  • Recursive Least Squares Algorithm
  • Fast RLS Algorithms
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