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Unformatted text preview: Quiz 1 Details Quiz I Review Signals and Systems • Date: Wednesday March 3, 2010 6.003 • Time: 7.30pm–9.30pm • Content: (boundaries inclusive) Lectures 1–7 • Massachusetts Institute of Technology Recitations 1–8 • Homeworks 1–4 • March 1, 2010 (Massachusetts Institute of Technology) Quiz I Review March 1, 2010 1 / 15 (Massachusetts Institute of Technology) Quiz I Review March 1, 2010 2 / 15 Review Outline Preliminaries: converting CT to DT When converting a DT signal to CT, we can use either zero-order hold Preliminaries • • Converting CT to DT ∞ t- nT System modeling x c ( t ) = x d [ n ] b (1) • T • Discrete time systems n =-∞ • Feedback, poles, and fundamental modes where b is a unit square function. Additionally, we can also use a • Continuous time systems piecewise linear approximation • Laplace transforms ∞ t- nT ∞ t- nT Z transforms x c ( t ) = x d [ n ] a + x d [ n + 1] c (2) • T T Numerical methods n =-∞ n = ∞ • where a and c are the right- and left-sided unit triangles functions, respectively. (Massachusetts Institute of Technology) Quiz I Review March 1, 2010 3 / 15 (Massachusetts Institute of Technology) Quiz I Review March 1, 2010 4 / 15 Preliminaries: System modeling Discrete Time Systems Know the basics: (1) system modeling: spring equations, LRC The unit sample is given by circuits, leaky tank models; (2) equations solutions: solving...
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- Spring '11
- Unit Circle, Massachusetts Institute of Technology, Massachusetts Institute