EEE 540 Advanced Mathematics for Signals, Systems, Control and Communications

Theory and applications of mathematical methods in signals and systems theory and their applications in signal processing, communications, control and optimization. Topics include: Linear Vector Spaces and Metric Spaces; Hilbert Spaces: The Projection Theorem, Approximations and Orthogonal Expansions; Riemann and Lebesgue Integration and Properties; Dual Spaces and Applications to Constrained Optimization; Distribution Theory, the Schwartz Space, and the Delta Function; The Discrete Fourier Transform and the Continuous Fourier Transform; Linear Systems and their Properties; Optimization of Functionals; Applications in Signal Processing and Systems Theory.
Credit units: 3 ECTS Credit units: 5.



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