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- What is impulse response of LTI system?
- What is second-order LTI system?
- What is impulse response in Laplace transform?
What is impulse response of LTI system?
The impulse response for an LTI system is the output, y ( t ) y(t) y(t), when the input is the unit impulse signal, σ ( t ) \sigma(t) σ(t). In other words, when x ( t ) = σ ( t ) , h ( t ) = y ( t ) .
What is second-order LTI system?
A second order LTI system is described by the following state equations. ddtx1(t)−x2(t)=0. ddtx2(t)+2x1(t)+3x2(t)=r(t) where x1(t) and x2(t) are the two state variables and r(t) denotes the input. The output c(t)=x1(t).
What is impulse response in Laplace transform?
In control theory the impulse response is the response of a system to a Dirac delta input. This proves useful in the analysis of dynamic systems; the Laplace transform of the delta function is 1, so the impulse response is equivalent to the inverse Laplace transform of the system's transfer function.
