How do you determine if a system is time varying?
A system is said to be time invariant if the response of the system to an input is not a function of time. On the other hand a system is time variant if the response to an input alters with time i.e. the system has varying response to the same input at different instants of time.
Why interpolation is used in signal processing?
Interpolation is the process of increasing the sampling frequency of a signal to a higher sampling frequency that differs from the original frequency by an integer value. Interpolation also is known as up-sampling.