Why do we mostly use an impulse response in system dynamics?

For linear time invariant (LTI) systems, impulse response completely defines the system behavior and is equivalent to transfer function of the system. So it is often used for system identification purposes in engineering applications. This is why we study impulse response.

Why do we use impulse signals?

We can use the impulse signal to find the frequency characteristics of the unknown system used in Example 5.1. When the input is effectively an impulse, the spectrum of the output is shown in Figure 5.5 (solid line).

Why do we care about impulse response?

Why we have to care about the impulse response? It is because it fully characterize a system. If you know the impulse response of a system, you can figure out the response (output) of the system for any kind of input without even testing it.

Why is the impulse duration important *?

Why is the impulse duration important? Explanation: One of the most interesting features of the impulse function, is not its shape, but the fact that its effective duration (pulse width) approaches zero, while the area remains unity. Hence, ∫∂(t)dt=1.

How does an impulse response work?

Technically, an Impulse Response, or IR for short, refers to a system’s output when presented with a very short input signal called an impulse. Basically, you can send any device or chain of devices a specially crafted audio signal and the system will spit out a digital picture of its linear characteristics.

What is impulse response in signals and systems?

In signal processing, the impulse response, or impulse response function (IRF), of a dynamic system is its output when presented with a brief input signal, called an impulse. More generally, an impulse response refers to the reaction of any dynamic system in response to some external change.

Why is the impulse duration important?