What is Impulse response

Impulse response of a system is its output when presented with a very brief input signal, an impulse. A system in the class known as LTI systems (linear, time-invariant systems) is completely characterized by its impulse response. The Laplace transform of the impulse response function is known as the transfer function. It is usually easier to analyze systems using transfer functions as opposed to impulse response functions. The Laplace transform of a system's output may be determined by the multiplication of the transfer function with the input function in the complex plane, also known as the frequency domain. An inverse Laplace transform of this result will yield the output function in the time domain. To determine an output function directly in the time domain requires the convolution of the input function with the impulse response function. 

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