- 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.
