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