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