The transfer function
(or impulse response
) of a linear system is
the complete characterization of the system. Once it is known, the output to the system may be determined by two methods:
Method 1: Multiplying the transformed impulse response and inputs and taking the inverse Laplace transform to yield the time-domain output.
Method 2: Performing the time-domain convolution of the inverse Laplace transformed transfer function and the input waveform.
Typically Method 1 is the preferred method, as many EE students studying introductory Linear Systems will attest to.