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The unit step response of an LTI systemPowerPoint Presentation

The unit step response of an LTI system

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+

delay

depends on x[n].

We don’t know y[n] unless x[n] is given.

But h[n] doesn’t depend on x[n]. We should be able to obtain h[n] without x[n].

How?

- LTI system response properties, this chapter.

- Discrete Fourier transform, --- Ch. 5.

+

delay

Determine A by initial condition:

When n = 0,

A = 1

+

depends on x(t).

We don’t know y(t) unless x(t) is given.

But h(t) doesn’t depend on x(t). We should be able to obtain h(t) without x(t).

How?

- LTI system response properties, this chapter.

- Continuous time Fourier transform.

+

When t>0,

Causality

Determine A by initial condition:

Define:

k terms

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