Adaptive and Array Signal Processing

Lecturer: Michel T. Ivrlac

Target Audience: Master EI and MSCE

Language: English

Next Exam: tbd. (no responsibility is taken for the correctness of this information)

Additional Information: TUMonline and Moodle

Lectures/Tutorials in Winter Semester 2024/25

Content

- Motivation:
Application areas of adaptive filters; Adaptive Equalization; Single channel (single-sensor) temporal processing; Multichannel (multi-sensor) spatial/spatio-temporal processing.

- Mathematical Background:
Gradients; Linear equations; Matrix decompositions (EVD and SVD); Subspaces of a matrix; Correlation and covariance matrices; Quadratic Optimization with Linear Constraints.

- Linear Optimum Filtering (Wiener Filtering):
Spatial Filtering: Minimum Variance Distortionless Response (MVDR) Beamforming and Generalized Sidelobe Canceller (GSC); Iterative solution of normal equations: Gradient descent and Least Mean Square (LMS) algorithm.

- High Resolution Direction of Arrival (DoA) Estimation:
Subspace Estimation; Multiple Signal Classification (MUSIC); Estimation of Signal Parameters via Rotational Invariance Techniques (ESPRIT); Unitary ESPRIT.

- Downlink Beamforming.