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TU Berlin

Inhalt des Dokuments

Mathematical Methods in Signal Processing and Communications

General Information:

•Location: HFT 131

•Time: Mo 12-14 (winter semester)

•Lecturer:  Prof. Dr.-Ing. Slawomir Stanczak - Lecture offered in English or German

Content:

Signal spaces (Vector space, Hilbert space):
Projection theorem, Hilbert space of random variables

Matrix theory and Perron-Frobenius theory:
Application to multi-user detection (decorrelator, MMSE)
Numerical approaches to solving systems of linear equations
Application to power control and joint power and beamforming control

Majorization theory:
Application to MIMO with correlated channels
Application to optimization of wireless interference systems (joint optimization of powers and signature waveforms)

Introduction to convex optimization theory:
Application to power control (e.g. water filling solution)
Algorithm design: gradient-projection algorithms, Newton and Newton-like algorithms, saddle-point algorithms

Basics of probability theory:
Maximum-likelihood detector and convex relaxation

Basics of abstract algebra (Galois fields) and frame theory:
Application to signature waveform design 

Lecture Notes:
Lecture 1

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