MFSP LecturersSimeoni, Matthieu2021-03-172021-03-172021-03-172021-03-17https://infoscience.epfl.ch/handle/20.500.14299/176018Signal processing tools are presented from an intuitive geometric point of view which is at the heart of all modern signal processing techniques. The student will develop the mathematical depth and rigour needed for the study of advanced topics in signal processing and approximation theory.Linear AlgebraRepresentation TheoryHilbert spacesApproximations, projections and decompositionsBases and framesLinear operatorsGeneralized inversesRegularized Inverse ProblemsRegularized convex optimisationTikhonov regularisationPenalised basis pursuitProximal algorithmsPseudo-differential operatorsL-splinesRepresenter theoremsComputerized TomographyRadon transformFourier projection/slice theoremFiltered backprojection algorithmFinite Rate of InnovationSampling Non Bandlimited Signalsteaching material