Summary: The frequency response of a linear, time invariant is a powerful and complete description of the system. It can be measured or it can be calculated by evaluating the transfer function on the unit circle.
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The frequency response of a Discrete-Time system is something experimentally
measurable and something that is a complete description of s linear,
time-invariant system in the same way that the impulse response is. The
frequency response of a linear, time-invariant system is defined as the
magnitude and phase of the sinusoidal output of the system with a sinusoidal
input. More precisely, if
If