Problem 5. (Feedback systems) 2[n] W[n] y[n] S[n] 9[n Two LTI systems are connected in a feedback arrangement as shown i
Posted: Sun May 15, 2022 8:03 pm
- Problem 5 Feedback Systems 2 N W N Y N S N 9 N Two Lti Systems Are Connected In A Feedback Arrangement As Shown I 1 (85.23 KiB) Viewed 40 times
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Problem 5. (Feedback systems) 2[n] W[n] y[n] S[n] 9[n Two LTI systems are connected in a feedback arrangement as shown in the figure above. Assuming that the overall system is stable, so that I (jw) exists, show tht the frequency response of the overall system is Hej) Y(JW) Few) X(ew) 1- F'(jw)G(e3w) Here, H (CW) is the frequency response of the overall LTI system with [n] being the input and y[n] being the output. Y ejw) and X (czw) are the Fourier transforms of the input signal and output signal respectively. F(jw) and Gew) are the frequency responses of LTI systems with impulse responses f[12] and g[n] respectively, as shown in the figure above. 2