Mathematics for Signal Processing
Contact person: Marc Geilen, PT 9.35,
Details about the course are found on OASE
This course is about mathematics and signal processing techniques for modern wireless communication systems. Spatial processing of array antenna signals, for instance, can improve selectivity and efficiency of wireless communications. Digital beam forming and direction estimation algorithms have become computationally feasible for embedded systems because of microprocessor integration. Adaptive algorithms make it possible to deal with changing circumstances.
This course will familiarize the student with the underlying mathematical concepts and basic algorithms, illustrated with applications from adaptive array signal processing.
Antenna array and spatial filtering setup. Linear algebra topics; linear transformations, least-squares solutions, pseudo-inverse, Eigenvalue analysis, QR and singular value decomposition. Spatial processing; matched and Wiener filters; Beam forming and direction estimation. Adaptive filtering; steepest gradient descent; LMS; RLS. Additional selected topics