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This must be not a simplest explanation, but anyway...nl5 said:if you know frequency response of the system, you can easily predict its response in time domain for any type of input signal.
This is part of control theory. Simple example is using gain and phase margins on Bode plot to analyse stability of the closed loop system. Here is a link.nl5 said:Another reason could be well known technique of determining system stability based on frequency response.