Question

2- Consider the following system: 5 Marks r, vin) Assume that Xe()-0 forl fI> f, and that Hle")- L. How is the output y(n) of the above discrete time system related to the input Xar

This is digital signal processing question and kindly solve the problem as soon as possible

Need the solution with block diagram for v(n) w(n) h(n) step by step

Answer 1

J/p = x_a (t) sampled verision = x_a (nT_s) op sampled by L = x_a (n/L) assuming T_s is captured into n. implies x_a (n/L) when passed through H(e^Jw), we will get x_a (n/L) without images. i.e compressed version of x_a (e^wl) Now down samping then oy 'L' we get = x_a (e^j (wl - 2 pi k/L) = x_a (e^jw. e^-j 2 pi k/L) for k = 0 therefore o/p y(n) = x(n) = x_a (e^jw) \r\n v(n) = x(n) (-1)^n = e^j pi n x (n) w(n) = v(n) * h(n) but H(e^jw) = {e^-j pi -pi/6 lessthanorequalto w lessthanorequalto pi/L 0 otherwise and y(n) = (-1)^n. w(n) = e^j pi n . w(n) = e^j pi n [v(n) * h (n)] y(n) = e^j pi n [e^j pi n x (n) * h(n)] implies y(n) = x(n) * h(n)

For the problem 2

Thanks