Consider the system y(n) = y(n 1) 6 x(n) (a) Compute its response to the input x(n) = (1/4) n u(n) assuming infinite-precision arithmetic

Consider the system

y(n) = ½y(n – 1) 6 x(n)

(a) Compute its response to the input x(n) = (1/4)ⁿu(n) assuming infinite-precision arithmetic

(b) Compute the response of the system y(n), 0 ≤ n ≤ 5 to the same input, assuming finite-precision sign-and-magnitude fractional arithmetic with five bits (i.e., the sign bit plus four fractional bits). The quantization is performed by the truncation.

(c) Compare the results obtain in part (a) and (b).