Let xn be the input signal to a discrete-time filter with

Question

Let x(n) be the input signal to a discrete-time filter withimpulse response hi(n) and let yi(n) be the corresponding output.
x(n) = {1,4,2,3,5,3,3,4,5,7,6,9}
h1(n) = {1,1}
h2(n) = {1,2,1}
h3(n) = {1/2 ,1/2}
h4(n) = {1/4, 1/2, 1/4}
These sequences are written such that the first value islocated at instant n=0.
(a) Plot x(n) and y1(n).
(b) Show that y2(n), y3(n) andy4(n) can be obtained from y1(n)