13-notes-6250-f09 - (1&1(XLCfl MOLrTG-ZILT’>"...

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Unformatted text preview: (1&1: (XLCfl) MOLrTG-ZILT’} > " SMAij o{’ {the $ij MT!) @gT : “mu? mx‘fi‘u'ws“ av? 5‘46 T 4an -— <xcm, \A‘fiavémv = Sunle 4+ 4'9. 5E3N~\ frdaxd 04m) 2m \ A . :: ‘ Wade/[0F “041‘ am?» M Wk 3 If L | L —40 —30 —20 —1 0 0 1 0 20 30 H L L I L L l l —30 —2o —1 o o 10 2o 30 [(0 1% W g_S(lP\\= {533w on N pieu'u/I'K, boer \wkfk 2’: 3 ‘ gm = 1 0' f e l o OWL/{W For 933M = ZS!” 34130 M, sat A Multiresolution Formulation Ch. 2 position of V3 Akin, {or w e swam we. um AcwwaK— XLM M w = Z c-3m- z"l-,ev(2‘r ~14 K .4 u s" = 21mm- ziryecffi 44 + Zaflmuw my " K 11+» .0 H + i Z— A-mu‘l'z (“I 1' HQ l-‘d K film = <xcm, 13%(254‘44 v r ac%.um1u “T 50AM, A) K Am : < x, , zs'vazw-uv a " k ' Kh— K r “qu ud‘fidw‘ J 5“"‘1' 5 7"! fir MAY XL“), X3003 ' K 4” so: 0/ \IL"'"’M ‘> f F0 Kc é 3': 0W1- .fi,‘ “pmfimfioA {3 For “(HWY Kl?) e L), (R) m Wu km, Xi“ (*3 __—) Xcu’) ~-a00. 30 M alution Formulation Ch. 2 from the basis elements basis in each subspace, )oth function. One can tions to W3 giving an the conditions that we 5 indeed an oscillating er and finer detail as it tem is easily seen from 1 of eight shifted scaling bur shifted wavelets at gives a low resolution solution “detail”. The ‘ scaling functions and wn in Figure 2.13. trious resolutions. The ve a perfectly localized iletely localized in time e signal. As we include riginal signal. cate the general idea of ing properties, together rences. ~0sition of V2 From (Swim: a. (J. Sec. 2.8. An Example of the Haar Wavelet System Test Function 1 0.5 O —O.5 ] i —1 .. 0 2 . , 4. e ApprOXImation in V5 -.. ‘ 1 i 0.5 Ci —0.5 -1 I ‘ 0 2 I ' 6 ApprOXImatIon in V3 g S- 3 1 ‘r- I 0.5- 1 O- _J— —0.5i —1 L . 0 2 . _ 4, 6 Approxumation in V1 : S” 1 l 0.5 0l"”——\___1 —O.5 -1 L I | Approximation in V6 "- S... (, ,5 1 -—u o 2 . . 4. 5 Approx1mation In V4 : 5..., 1 0.5l' 0 .05 f —1 0 2 4 Approximation in V2 : 1 0.5i—‘—l— 0 —O.5r l _1 “— o 2 4 6 Figure 2.15. Haar Function Approximation in Vj w, W M M 49“va m ST + Aifiwm 4hr saws -'S-'\, 4-1 I -90. Tkur i5 X¢(+\ = 1:,C_IL\¢]-ZSI"/e’(f+- M + 2”: MA z“‘-4f(z*+—y.\ 4w my x; e may “‘6 Wms TM LUM- S_3®w1®w1-.®[email protected] L7 For er) Ho / H‘ LS! ...
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