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quiz02_review

# quiz02_review - Quiz II Review Signals and Systems 6.003...

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Quiz II Review Signals and Systems 6.003 Massachusetts Institute of Technology April 5, 2010 (Massachusetts Institute of Technology) Quiz II Review April 5, 2010 1 / 15

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Quiz 2 Details Date: Wednesday April 7th, 2010 Time: 7.30pm–9.30pm Content: (boundaries inclusive) Lectures 1–15 Recitations 1–15 Homeworks 1–8 (Massachusetts Institute of Technology) Quiz II Review April 5, 2010 2 / 15
Review Outline CT and DT system representations The impulse response Convolution Eigenfunctions Frequency response Complex numbers and vector methods Bode plots Feedback and Control Fourier series (Massachusetts Institute of Technology) Quiz II Review April 5, 2010 3 / 15

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CT and DT System Representations Verbal descriptions: The answer to ”what does this system do to a signal at its input?” Difference/differential equations: Mathematically compact and show the explicit mathematical relationship between input/output. y [ n ] = x [ n ] + z 0 y [ n 1] Block diagrams: Illustrate signal ﬂow paths Operator representations: Analyze systems as polynomials. Y 1 = X 1 z 0 R Transforms: Represents differential/difference equations with algebraic equations z H ( z ) = z z 0 LTI systems: representation by the impulse response (Massachusetts Institute of Technology) Quiz II Review April 5, 2010 4 / 15
The Impulse Response Why does this make sense? Because every signal can be thought of in terms of a sum (or superposition) of shifted and scaled unit samples.

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