Signal and Systems, Sampling, Fourier Transform Basics (28 points a) (15 points) System properties. Consider the following system S as shown below where (t) and y(t) are the input and output pairs of the system, respectively. z(t)- S v() For an input x(t), the output y(t) is given by, y(t) =(t)+ i. (3 points) Is the system linear? Justify your answer. ii. (3 points) Is the system time invariant? Justify your answer. ii. (3 points) Is the system casual? Justify your