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EECE.5090 Linear Systems Analysis (Formerly 16.509)

Id: 003265 Credits Min: 3 Credits Max: 3


Correlation and Circular convolutions. Concepts of orthogonality and Gramm-Schmidt orthogonalization procedure. Fourier series and Fourier transforms (FT): convergence properties; applications to linear systems including modulation, sampling and filtering. Hilbert transforms (HT) and analytic signals. Bilateral Laplace transforms (LT): convergence properties. Contour integration methods applied to FT, HT and LT. Discrete-time Fourier series and Fourier transforms including complex convolution: applications to linear systems. Discrete Fourier transforms and Fast Fourier algorithm. Ztransforms: convergence properties, solution of difference equations, application to linear systems. Correlation.

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