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exam1 - EEE 2ﬂ3 Exam 1 Eat-ruin}Ir 21 2E" This is a...

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Unformatted text preview: EEE 2ﬂ3: Exam 1 Eat-ruin}Ir 21? 2E")? This is a timed bunk, closed notes Exam. Yen are allowed one cheat—sheet. - Good Luck ! 1. Fur wit} shown below, plot the ﬁlming functions [a] GE} = I[—t+ 2] (12-) bit} = mm + 1) 1-0:} {G} C(t} = witluﬁluﬂ - f} 2 . (b) .3 2. Consider a. dismie—time system with input signal ﬂu} and mrreepuuding output signal ﬂu} = :r.[—n] + 2. Determine whether the system is {a} Memoryleee {1:} Linear {c} Time-invariant {:1} 31:30 stable. In each case, justify your answer. lepts (34-54546) r c ‘0” x n ' @9 Net W” m giﬂmmﬂ‘t mdwe f f] (b) mmwgwid} : new: 31[”3 :T gﬁszj} = 11[-n]+ ’1 ﬁfe]:T%~PHiﬂ +pr EH1} mam-“1 +{3xlf_h]+ 1 HEHJM.EHJ+P31CH] ,_ W MM. (a) )[HFV‘UU] 5 tx[-h_+HG] +1 Ti'ﬁﬁhﬂi = kiln} G1) [“[V'Jl < [5; :7 [GEE—I’m]! < ESI 3. Compute the convolution of two dieeretetime signals min] and Mn], where ﬁn} = Mn] = Gnulﬁ], U «c: e a: 1. Give an algebraic expression. Jew “if“ 3 hfh'kl ILLI—a K "1m 1.! w m Km MHKM F's-K] EEG: é “xiii—l hithl E 3' [IL] Q“ E wane H uw(h.+lj UK EX] . 4.[a] The impulse response of an LTI syst- is gimn by left) = so: — 1] + 26:} - 2}. Find and plot its response to the input ﬁt} = oft — 1) — oﬂ — 3}. 3' H ) 15pm .{ _—_ gufft) "H’V(‘ii) E”) w > : 15 “-1) 4» 1'1 (t " a)_.'1-..r 1 w t n . {b} The step response of en LTI system is given by sﬁt) = e'*n|[t}|. Find its response to the input tiff} - uﬂ — 2]. 4&3; "HF-3r extra credit, plot the response.) ”816“) ..—..- 5(1) - aft-Q) ._ ._ éhtuuft) -- E U Q)M(t‘2) ye i? - .l-l- ...
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