The unit impulse response is the output of a system when a delta function (or impulse) is applied as the input. It represents how the system responds to a sudden and short-lived input signal.
The unit impulse response is the inverse Fourier transform of the system's transfer function. This means that by taking the Fourier transform of the unit impulse response, we can obtain the system's transfer function and vice versa.
The unit impulse response provides important information about a system's behavior, such as its stability, frequency response, and time-domain characteristics. It is also used to calculate the system's output for any input signal through convolution.
The unit impulse response can be measured experimentally by applying a delta function as the input and recording the system's output. It can also be calculated mathematically using the system's transfer function or differential equations.
Yes, the unit impulse response can change over time if the system's parameters or inputs change. This is because the unit impulse response is dependent on the system's characteristics and input signals.