{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

antonia_exam3

# antonia_exam3 - Name TIC N 5‘ EEE 303 Signals and Systems...

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Name: TIC} N 5‘ EEE 303: Signals and Systems. Exam 3 May 1., 2003 Prof. Papandrenu—Suppappﬂla You must answer buth pmblcms for fuﬂ credit. The number of points fur each part of a. problem is given. Fur full credit, Show all 51.2135 and label all axes. This area, is- fur uﬁ'lcial use only: ljriiblEITt—IlJ‘V;-_E£:lilllul—II1 2 ] Tug-v i E5 25 50 l _;_—____3 1. Consider the discrete—time signal = {ﬂ.Ei}”n[n]. is.) {‘3' pts} Does the discrete—time Fourier transform {DTFT} X{e~“‘"] of 1*[n] exist? Demonstrate your answer. Prmide X {ta—i”) if it exists. Eb] {9 pts] Find the DTFT of y[n] = (REF—41:11: — 1] using DTFT properties. Show all the steps and simplify ypur result. (a) {Q ptsj Find the DTFT of gin] = {n + l][ﬁ.ﬁ}"n[n] using DTFT properties. Show all the steps and simplify 3mm result. _ f r "‘3 n K02) DTFT £4.er 536m. éﬂﬂi‘ﬂiﬂi 3% (M) :— i ’19“? .119: 1-1.4 Iﬂﬂé Ill] '5 EqFT’ ’PGLIY H“ Edi“) z: i _ “.5 d £117— J'- D'Eeﬁw } PM -3 “.s ,- In Ks) mew) (0.5) wart I R “is \$01.04 :HLfn-ij «:4 Vie”)={g_.a)'3‘eﬂi We ) sway WM jrﬁ'éé-Jh} J ail-n— kcb (atnrl; “(xiiinpl + iii-"’3 3 . . La? wwst We" i + New) Gin} .w 'I fit; 'I :J a (has?) + (Fruit ) ole) ~u_£€v“ q _ '-" :iiﬂi * (“ME”) Us 0-6?- J (Irﬁ- e 2. Consider the mntinuous—time signal Edi} = whose Fourier transform is given by 51 w a: 1hr Xcﬁwj = I I . We want to sample 2:513) to obtain the eontinuous and sampled signal -]1 otherwise 0Q mph) = Z: sdn’l‘ﬂqu - nT] 1Where T is the sampling period. ﬂ=—D(J {a} {5 pie} Plot XCULJ}. What is the largest frequency-r of :Ic{fl? [h] {5 pts] When T = 0.051 what it? the sampling frequency mg? {C} {3 pts] When T = {1.95, plot the Fourier transform Xpﬂjw] of :rpﬂ]. Does aliasing occur? Why or why.r not? [d] {1" pie) When T = Ill, plot the Fourier transform Xpﬁw} of my“). Does aliasing occur? Why Xenia-3‘1 (a?) E J W- P940. B; or NAME; or Wh},r nut? T o-ns Lil}. w “JAIL-oi?” DCCLLI‘E- Sued E) 4!: ﬂ _: Kala—Tr vague? 9‘ {will We :L _ _ J .57r-ﬁ’ “W” r23“ -‘i—“ r'ﬂr'i D '“E m Ho‘ﬁ 53““ ...
View Full Document

{[ snackBarMessage ]}