Solution:

As a simple example of how we can find the frequency response of a linear time-invariant system, consider the ideal delay system defined by,

$$ y[n]=x\left[n-n_d\right]...(1) $$

where $n_d$ is a fixed integer. If we consider $x[n]=e^{j \omega n}$ as input to this system, then, from Eq. (1), we …