Question

need answers for all

1, (20 pts) Solve the subproblems given n as an integer, and and hIn] as -1 5 4 3 2-1 0 12345 3 -2 10 123 5 4 45 (a) Plot [k], changing the base from n to k. (1 pt) Note: Be sure to mark the axes. .2 543 210 12345 (b) Plot hk), changing the base from n to k. (1 pt) Note: Be sure to mark the axes. 0 .2 5 4 3 -21 01 2345

Answer 1

"Given that c) to get h(-k) flip h(k) signal about ""0"" Therefore h(-k) d) from (a) small value of K that makes x(K) non zero is ""-1"" i.e, K = -1 largest value of K that makes x(K) non-zero is '0' i.e, K = 0 d) y(n) = sigma^0_k = -1 x(n) h(n - k) \r\n f) from (c) The smallest value of 'K' that makes h(-K) non-zero is '1', i.e, K = 1 The largest value of 'K' that makes h(-k) non-zero is '2' i.e, K = 2 g) Range of 'n' yielding non-zero overlap between x(K) and h(n - K) is -3 lessthanorequalto n lessthanorequalto -1 h) y(n) = x(n) * h(n) = sigma^infinity_K = -infinity x(K) h(n -0 K) for n lessthanorequalto -4/y(n) = 0 for n = -3 y(n) = (1) (-1) + 2 (0) + 3(0) y(n) = -1 for = -1 for n = -2 y(n) = 2(-1) + 1(3) + 0"