signals and systems using matlab luis f. chaparro · signals and systems using matlab ......
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Signals and Systems
Using MATLAB
Luis F. Chaparro
Chapter 3 - The Laplace
Transform
3
What is in this chapter?
Definition of Laplace transform
Analysis of LTI systems using Laplace transform
Properties of Laplace transform
Inverse Laplace transform
Convolution integral
Convolution sum and Laplace
System interconnection
4
Signals and LTI systems
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One-sided Laplace Transform
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Linearity
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Derivative
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24
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Time Shifting
26
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Convolution integral
28
Inverse Laplace Transform
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What have we accomplished?
Connection of Laplace and Fourier transforms
BIBO stability and pole location
Steady-state analysis using Fourier for periodic and
aperiodic signals
Significance of complex exponentials as inputs of LTI systems
Where do we go from here?
Complex frequency analysis of signals
Convolution integral computation and transfer function
Significance of location of poles and zeros
Sinusoidal representation of periodic signals
Solution of differential equations, transient and
steady state responses, zero-input and zero-state
responses