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004_BME343_Laplace_Transform

004_BME343_Laplace_Transform - Continuous-Time System...

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Continuous-Time System Analysis using System Analysis using the Laplace Transform Why bother? Analysis of continuous-time systems Easier way to solve differential (system) equations Laplace Transform 4-1 Time-domain vs. frequency-domain
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Objectives Be able to calculate the Laplace transform of a function directly from the integral, sketch the region of convergence Be able to calc late the Laplace transform and its in erse sing the Be able to calculate the Laplace transform and its inverse using the table of transforms and the properties of the Laplace transform Be able to use partial fraction expansion to help calculate the inverse Be able to use partial fraction expansion to help calculate the inverse Laplace transform of a ratio of two polynomials Be able to compute the impulse response of a linear constant coefficient differential equation using the Laplace transform Be able to use the Laplace transform to simplify convolutions Be able to determine the frequency response of a system from the Laplace transform and sketch it (Bode plots) Laplace Transform Be able to explain tradeoffs between choosing a particular filter as a function of the number of poles. 4-2
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