Response

Why using the impulse respond of an LTI to characterize its output?

Why using the impulse respond of an LTI to characterize its output?
  1. Why impulse response is used in LTI system?
  2. Why do we use impulse response?
  3. How can a LTI system be completely characterized?
  4. Why the impulse response can be used to determine the frequency response of a system?

Why impulse response is used in LTI system?

The impulse response is an especially important property of any LTI system. We can use it to describe an LTI system and predict its output for any input. To understand the impulse response, we need to use the unit impulse signal, one of the signals described in the Signals and Systems wiki.

Why do we use impulse response?

Why the impulse response is important. The impulse response of a system is important because the response of a system to any arbitrary input can calculated from the system impulse response using a convolution integral.

How can a LTI system be completely characterized?

Any system in a large class known as linear, time-invariant (LTI) is completely characterized by its impulse response. That is, for any input, the output can be calculated in terms of the input and the impulse response.

Why the impulse response can be used to determine the frequency response of a system?

The impulse response is the response of a system to a single pulse of infinitely small duration and unit energy (a Dirac pulse). The frequency response shows how much each frequency is attenuated or amplified by the system. The frequency response of a system is the impulse response transformed to the frequency domain.

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