(a) An FIR (finite impulse response) filter has an impulse response given by h(n) = (2, 1, 2, 1}. Find its response y(n) to the input x(n) = {1, -2, 4). Assume that both x(n) and h(n) start at n = 0. (b) Find response of the system if h(n) = (3, 7, 0, 5 } and x(n) = (2, 3, 4).

Perform the circular convolution of the two sequences x101) and 1:201) where 01:10:) = {1.5, 1.4, 1.2, 1.0, 0.8, 0.6, 0.4, 0.2} and 12(11): {1.5, 1.3, 1.1, 0.9, 0.7, 0.5, 0.3. 0.1} by the matrices method.