Consider an LTI system with impulse response hn and periodic
Consider an LTI system with impulse response h[n] and periodic input x-bar[n] with fundamental period N_0 = 3. The convolution of the impulse response with the fundamental cycle of the input is (x * h)[n] = 2delta[n] - 3delta[n - 1] + 2delta[n - 2] - delta[n - 3] + delta[n - 4] - 2delta[n - 5] + 3delta[n - 6] - 2delta[n - 7]. If the (periodic) output of the system y-bar[n], what is y-bar[1]? Choose the closest answer. A: -3. B:-2. C:-1. D:-5. E:-4.Suppose x(t) = { 2t if 1 greaterthanequalto t greaterthanequalto 2 3 if 2
Solution
1. C
2. A
3. D
![Consider an LTI system with impulse response h[n] and periodic input x-bar[n] with fundamental period N_0 = 3. The convolution of the impulse response with the Consider an LTI system with impulse response h[n] and periodic input x-bar[n] with fundamental period N_0 = 3. The convolution of the impulse response with the](/WebImages/21/consider-an-lti-system-with-impulse-response-hn-and-periodic-1050109-1761546848-0.webp)