Question

2. (30 pts) A signal 7: n İs applied lo an ll.l system I (hi [n) outputting y1,,,and il is also applied to an LTI system 2 (h2n) outputng Then te sum of nnl and s applied to an LTI systcm 3 (hsln) oulputting n The relationships are given in the following cquations. Assume thaforn < 0 (a) (15 pts) Find the valo e impulse respsofte system 3 (b) (15 pts) Find the valucof the impulse response of the t sysemfor which the input afn] yields the outpu yn 3. (30 pts) Consider a radar system to detect a large. The following radar signal(lr㎡ k transmitted 2(t) --{ sin(2000π1), 0 < t < TO otherwisc vo Suppose we transmit the impulse from the radar yd receive the reflected signal from the targeyto determine the mpulse response The impulse is delaved in time (round-trip dela nd attenuated in amplitude (atte actor). (a) (15 pts) Represent the impulse response h(t) in terms of ζ and α (b) (15 pts) Determine the received signal。(t)for the transmitted radar signa(«(t)/ Show your intermediate work. 4. (20 pts) Consider the N-pe riodic square wave given by 1, -1 Sns 1 (a) (10 pts) What is the fundamental frequency of the signal z[n] whe6 N = (b) (10 pts) Find the Fourier series coeficients X[ol and X[1] of the signal 11지 when N-4

Answer 1

yo nリ 와 χ.cn): Ocn), tRo do2.A.cn App2 rane om, 2 C2) 1-a2 n)-2 ech-s) when n-3, K3) こ1-875