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CSE3451-old-exam-rough

# CSE3451-old-exam-rough - CSE 3451 Final exam page 6 of 12...

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Unformatted text preview: CSE 3451 Final exam page 6 of 12 3. [20 points] Consider the nonlinear device described by the following relationship between the input ﬁt) and output Mt) EN) = 93(3) + 933(3) (3) Let the input 5-:(t) be a sinusoidal signal ﬁt) = A3 cos(wct) (4) with Ac and cum being constants. (a) (10 points) Determine the frequency content of y(t) by sketching the magnitude spectrum |Y(jw)| of the CTFT of the output y(t). (b) (10 points) Describe the complete speciﬁcations of a system that extracts signal ﬁt) from y(t). +5%f_ 1' . n e (a) 91m ﬂew“ ﬁe = m) - Ceswcf :. 16+). 2 . . “L I; Ach— l A»! Aim. MM tat. I, CSE 3451 Final exam page 7 of 12 CSE 3451 Final exam page 8 of 12 4. [15 points] You are hired by a signal processing ﬁrm and you are hoping to impress them with the skills that you have acquired in the Signals and Systems course. The ﬁrm asks you to design a discrete-time (DT) linear time-invariant (LTI) system, which has the property that if the input is Ilkl = (1/3)”U[kl — (1/4)(1/2)’°_1U[lc *1la (5) the output is given by we] = {larva}- (6) (a) (5 points) Determine the transfer function ng1 of the DT LTI system that has the aforementioned property. Ya; 9-2.. x (b) (5 points) Calculate the impulse rc onse [k] of the DT LTI system that you obtaned in (a). (c) (5 points) Find the difference equation relating :L'[k] and y[k] that characterizes the aforementioned system. _ i l a La) 'xcl‘i] X197) = ___1_ ~33 _ M- CSE 3451 Final exam page 9 of 12 (1— €653) L F116”) 2 Ckiém) U-oma’g") (I—Oxl'Bﬁcﬂ’) : IQI‘ “4— IQL- kg we“ I—aeﬁ‘ mimgegﬁ Mtg- : hula] :E. [282+ I21 (new)? —+ k3 (unﬂhJ/a [/1] (1*%€[email protected])(l—%€3 C- ieﬂ) El-Obltﬁéﬂﬂ #0436539“) ’3 '35; + _L £29 31) I? m ——— gab—11+ liyﬁmj - J. .____._ g . _____ I; SCUM-"q “J6— )(D’PZ/J ...
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CSE3451-old-exam-rough - CSE 3451 Final exam page 6 of 12...

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