M2025_09T1Sol

# M2025_09T1Sol - MATH 2025 Fall 2009 Test 1 Thursday For...

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Unformatted text preview: MATH 2025 Fall 2009 Test 1, Thursday, Sept 24, 2009 For partial credit, Show all your work! 1 [713]) Plot (3?) and write a formula (4?) using the functions 903-3) for the step function 61' corresponding to the sample in the following table i 3 [14P]) Calculate the ordered Fast Hoar _Wavelet Transform for the data 5 = (10,10, 9, 3, 3, 7,8, 6). a; mm mm (3' h-h S‘.*l_ , ' is «(103(9) 5,730)3;Z,i) Ci) S 2 v ‘ “‘— 03) ‘ - 1“? g 1C1; 1323—1‘)c,3,~2)() 4[9P]. Write the results in the ﬁrst step in problem .3 as a combination of the functions 90 audit) ,0 (31+ 10 2336‘ “IE £313 z's‘3+7 is) £31. \$176) ta Ct can err Ct», Geiger ‘h F; [,0 (a) G, or); 5 M £2.) m r (1 + + - 3 a ct. car 7% +3ri 25% “e 5[9P]) Assume that the ordered Fast Haar Wavelet Transform of a sample 5 = (50, 51, 32, 33) ‘ produces the results 5(2’2) : (4;1;3,2). Use the inverse Fast Haar Wavelet Transform to ﬁnd 5. ,._ was: . 5-5 :(leg)6)ﬂ, CH”, I) 3,927 n> (5*) “sfsm A» (\$2,511) 6[9P]) Find the InePlace Hoar Wavelet Transfown of the sample 8 I (8, 6, 7,3, 1,1,2,4). £03 S# (Li) \z\1212q01~i/*{) remiss-Hr” ,5 ('1 "-1) \)531J110‘§:W]) ..n my 7 {14P]) Assume that the In—Plaee Haar Wavelet Transform of the sample 5 = (80, 31; .92, 33, s4, s5, 55, 37) results in 5(3‘2) = (8, “1,3, 1, 2, —1,2,0). Use the inverse InuPlace Hear Wavelet transform toﬁnds. '- . a”! . “as - (/OJZGZ, 6!. “3/5162, (:9) 453:— l\ _ I A C3—t) I _ _ :1 «Eillélhl2310)ﬂ>5 tgiziﬂirLS/‘i'L/J‘IJEZO‘) S \I as. DC; I _—... _. “J... ~—- '—--. i, 4 l __ F‘ )(for “IQ;in able/‘9‘} . 8[9P] Assume that the Iii-Place Haar Wavelet Transform of the sample 5 n (so, 51, 32, 53, s4, s5, 55, 37) results in 59—3} = (9, 1, 3, 2, —2,3,2, 1). _ a) What is the average of the sample that we started with? q b) Identify the value of c§3“2). c) Explain how 683—1) 2 1 relates to the sample. may 0% any SH «.2? S E E i g o I 9762 Hf 1 1‘ 5344 {O gf 9[14P]) Evaluate the 2D Wavelet transform of . Z a of 824D )6 5: Cl“! 9»? ‘31 Hz 6022 ' (as 49’ .—> ‘13 so 92 v0 53 11 6C) 1 1 5-Il ___M 2 0L_ P.»_ fl n>_%m_}m_w_ 7 (EH 5 2' Q1 cilia—.7” k l o a] [a \o l_ s 8 —1 10[6P]) Assume that the 2D Wavelet Transform of ( 9’0 Sm) results in ( ) 51,0 81,1 2 1 a What is the meaning of the number 8‘? Av ma ‘ , g cow KQ, seat @ x b) What is the meaning of the number 2? A W C/QA ‘_ \ M ...
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## This note was uploaded on 11/23/2011 for the course MATH 2025 taught by Professor Staff during the Spring '08 term at LSU.

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M2025_09T1Sol - MATH 2025 Fall 2009 Test 1 Thursday For...

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