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Midterm grades Final grades ASSIGNMENTS:
COURSE SYLLABUS: Preliminaries: Discrete/continuous-time signals, time shifting, scaling, Linear/nonlinear system descriptions: State variables, input-output, Time invariant systems, differential equations, difference equations, numerical integration, block diagrams, Causality, stability, Linear algebra: Vector spaces, bases, inner product spaces, norms, orthogonality, Linear operators, range and null spaces, eigenvalues, orthogonal basis, isomorphism, Parseval relation, Signal spaces, LTI systems, impulse response, convolution operator, Eigenfunctions of LTI systems, eigenfunctions as orthogonal bases, Fourier analysis: Bounded continuous-time signals: periodic/nonperiodic signals, convergence properties, Discrete-time signals: periodic/nonperiodic signals, convergence properties, Frequency response of LTI systems, Bode diagram, filtering, Modulation: Sinusoidal and pulse amplitude modulations, Sampling: Nyquist theorem, signal recovery, zero/first order holds, Laplace expansion Convergence properties, unbounded signals, region of convergence, Casual, noncausal and anti-casual LTI systems, Solution of constant coefficient differential equations, Transfer functions, pole-zeros, internal stability, input-output stability, linear feedback systems, Z-transform Convergence properties, Solution of constant coefficient difference equations, Transfer functions, pole-zeros, stability, Transformation between continuous-time and discrete-time systems. ___________________________________________________________________ GRADING: 1. Assignment and quizzes: 15% 2. Mid-term exam: 35% 3. Final exam: 50% ___________________________________________________________________ REFERENCES: 1. A.V. Oppenheim, A. Willsky, S. Hamid Nawab, Signals and systems, 2nd edition, Pearson education, second edition, 2014, (SEE) 2. S. Axler, Linear algebra done right, 2nd edition, Springer, 1997 (SEE) |
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Control systems are ubiquitous |
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Sharif university of technology Department of electrical engineering Digital systems group/Robotics
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Signals and Systems 25-742, Spring 2020 Credits: 3 Level: Undergraduate, required Prerequisite: Eng, math, differential equations Hours: Sunday, Tuesday, 10:30am-12pm Location: B8 |
