how is laplace transform is used in the analysis of LTI system.
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Answer:
BIM108 SUPPLEMENT WIKI
BIM108 SUPPLEMENT WIKI
Laplace Transform Analysis of LTI Systems
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Laplace transform is extremely useful to solve LTI system when it is unsolvable by Fourier series or Fourier transform.
1. Transfer function. For an LTI system with input x(t) and output y(t), the transfer function is defined as (zero-state response)
2. Transfer function and Differential equation. We look back to the property of the differential equation and transfer function. Assume that the system is at rest at t=0, and the input x(t)=0, for t<0. The LT with the use of the differentiation property.
Deatail explanation : Laplace transform and Formula
3.Stability
We focus on systems with a rational transfer function. We also assume M<N, and there are no common poles and zeros. At here we need to recall sufficient condition of BIBO stability. We know that a system is BIBO stable the output will be bounded for every input to the system that is bounded.
Explanation:
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