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System Impulse Response

Explore the concept of system impulse response as the output of a digital system to a unit impulse input. Understand how this response characterizes linear time-invariant (LTI) systems in the time domain and learn about its importance in analyzing natural and man-made systems.

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Once we learn about systems, both natural and man-made, we want to characterize them through a method. This is a standard scientific approach that is utilized in biology, physics, and space science. In physics, for example, we observe back-and-forth vibrations for a certain time when the strings of a guitar are plucked or when a tuning fork is struck on a surface. The term impulse response is not much different than this.

Response to an impulse

As the name implies, an impulse response is simply the output signal of a system when a unit impulse δ[n]\delta[n] ...