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pw i ARtic Rtiv Of Wv Liht ctti (L Ayi h fit fiht v. 1.4 AM U Mt, 21 E, i, Jh J, D -1.4? -1.6 t (v -1.8 i L -2. -2.2 u 16 N i 1 2 3 1 5 6 7 3 pit u 9 1 1 i 6 M 5 O cu -> F pfi 6 O w -> F i pct 1 2 3 5 6 7 7 26 22 1 u 16 i 1 1 6 2 F i #117 F i #11 9 1 46 pfi 47 pfi 1 1 i 1

L Ayi Itducti h i yi i d i th c L Evt t d cit f 3 tp: (1 Idx (2 c (3 Ctiz L Ayi Itducti ypic u wi wy ipy p th d Idx, yz.. utt d u th dfut. Oc th dt h pcd, c ck d djut y vt pt d pf idividu tp idividu ptic td wv. Ft d f xt v id: uadd -> 1 2D wv idi i y, typicy th L fd, typicy ctii yi ut. GAdd -> u-djut pt th p tht ffct ut 2

tp 1. Idx At th tp th u i pptd f th fd ctii th DAQ L dt fi. h fi d yydd_xxxxxxxxx_t.hdf. Ditic vu dd it wv d vi t d th DAQ tti. U c viw d dify th vi i th Ditic. f th cd y w f yi f L dt tk with th DAQ tti (i. i d x f tick, F citi vu, tc.. A with vi, th idx tp ct wv: Chp_OF = 1-6*(DtDy + uid*cadd*p, f ptti pct dt v ti Chp_z_u = zttv+p, f ptti pct dt v. tp 2. Ayz I thi tp w xi th iht ctti (L i d/ th pct (M i. W th ifti ut xiu vu, tc. ch L vt (L vt = L ti = L ptic = ptic u u. h u wi pptd f itdit dt fi pth. U c ptiy Ayz th L d th M dt pty, ut ut f th L yi i dd f th M yi. Wh w fiihd yzi idividu ptic, w hv 2D tix tht i uhy u t th MDiff_p tix tht qui u. Ft d f xt v id: uadd -> 1 2D wv idi i y, typicy th L fd, typicy ctii yi ut. GAdd -> u-djut pt th p tht ffct ut 3

tp 2. L yi F ch L vt w hv 1D iht ctti wv cd LChp -1.4? -1.6 t (v -1.8 18 i L -2. -2.2 1 3 pit u 5 6 7 h i yi tk f ch L i : (1 Idtify chpp chctitic (tt, ct, d (2 Ccut i d th tdd dviti f -i i. (3 t th x-dii f pit u t ti. (4 Fid th xiu L i d citd ttitic. (5 Etit th u f ptic i thi i L vt (iy1. tp 2. L yi F ch L vt w hv 1D iht ctti wv cd LChp -1.4 _i=-1.472 _idv=.3? -1.6 t (v -1.8 Chpi=481 1 _Chpi 481.1 i _ChpEd=561.5 L -2. _itwidth=.4-2.2 _chpct=521.3 1 3 pit u (1 Idtify chpp chctitic * Fid pit u f iiu L vu. Fid pit u f & ft iiu vu tht xcd iiu vu y.5 (vt. v t _Chpi, _ChpEd. * Fid d v _itwidth itwidth (_ChpEd-_Chpi, Chpi _ChpCt (_ChpEd_Chpi/2, (2 Ccut th i d tdd dviti * Fid th v, tdd dviti f L i f th i Ci(_ChpEd+5 t Ci(_ChpEd+14. v t _i d _idv. * utct _i f LChp, v t L_Z. (3 f x dii t ti Chp_OF=(p-_ChpCt*L_dt (L_dt = 1/(kHzAcqRt*1 5 6 7 4

tp 2. L yi.? -.2 t (v -.4 Z _ -.6 -.8 _Mxt=2245 _MxVu=.154 _N=5.18 _Mxi=.155 _EtAi=.1723 _EtMAt=29 _tv=95.7632 _DV=582.892 _u=1.81 hhd: LvA=.154*Lhhd_fctiOfMxL _NuLvA=1 _vau=1.81 hhd: Lv=.3*Lhhd_utipOftd _NuLv=4 _vu=4.411 1 2 3 4 cd f Chpp Ct (4 Fid th xiu L i d citd ttitic. Fid _MxVu, _Mxt, _Mxi, _N (xiu i t i = _xvu/ _idv. Ui th _Mxi, ccut _tv, (LF_ditc/_Mxi _DV (ui V, V,, Dx, _EtAi (F_ditc/_tV, tv, _EtMAt (pit u i M pc f xiu L i, _ul (u f L_Z v th _Mxt +-1. 5 6x1-3 (5 Etit th u f ptic i thi i L vt y tw thd: ( _NuLvA = v ci f _MxVu*Lhhd_fctiOfMxL ( _NuLv = v ci f _idv*lhhd_utipoftd Fid th i d x pit piti f th v ci, u f L_Z: _LvAu = u(l_z, V_i-1, V_x+1 _Lvu = u(l_z, V_i-1, V_x+1 tp 2, M yi F ch L vt w hv 2D pct tick tix cd p_tick. u 16 N i 26 22 1 u 16 i 1 1 6 2 46 pfi 47 pfi O cu -> F pfi 1 2 3 5 6 7 9 1 1 i 1 1 i 6 M O w -> F i pct 1 2 3 5 6 7 F i #117 F i #11 9 1 h i yi tk f th 2D M p_tick tix : (1 Appy DC-k typ f ccti t t th i with th z vd (2 Idtify th F ti i which th M ptic (3 Gt i pct 5

tp 2. M yi (1 Appy DC-k typ f ccti t t th M i with th ckud vd. * Appy duty cyc ccti t p_tick (*qt(28/z. It i t cy t pf thi ccti t th vy ii; w ipy d it fit t t it ut f th wy. * F ch xtct th F pfi. Fid th v d tdd dviti f th fit 25 i ii with MFiOfft; put ut i _z_vv1, _z_vdv. Fid th v f th t 25 i, put ut i _z_vv2. utct th v f _z_vv1, _z_vv1 f th z fi; c thi tity _z_pfi. ut _z_z_pfi i ptf_tick_p f thi (f t pi qui u. _z_vav2=563.1 u 16 i 46 pfi _z_v _z_vav1=559.9 Chp_z_Vdv=8.3 46 _z_pfi u 16 i 6 1 i 5 i (DC k cct tp 2. M yi (2 Idtify th F ti i which th M ptic. ccpih thi tk, w t 1-D wv cd MDiff_pfi. MDiff_pfi i th 2D tix p_tick tht h cpd i dii. xt id f phic. F ch _z_z_pfi fid th xiu vu ft MFiOfft, _z_vx, _ th i u f th xiu vu, _z_vxlc, _ d th i t i _z_n (_z_vx/_zvdv. If _z_n > Mhhd_utipOftd ( if cidi y i zalit dd t MDiff_pfi ( d t c f z, jut dd t MDiff_pfi. * Ui MDiff_pfi ( u f i utctd pfi f viu z Fid th v d tdd dviti f th t 25 F i; put ut i _iav, _itd. * Fid th x vu, _imx, th xiu F i u _Mxt, d th i t i, _imxovtd (_imx/_itd. * Fid th ti f th xiu M i vi _imxt d Chp_OF, _imxi. * Ui th _imxi d th F_ditc, fid th ptic vcity _tv. * Etit v i t x vu, _iu, (u f MDiff_pfi v th _Mxt +-5. * Etit th u f ptic i thi i L vt y v ci f MDiff_pfi y _itd*mhhd_utipoftd 6

tp 2. M yi MDiff_pfi 3 _z_pfi 43 pfi 46 _z_pfi 25 _iav = 1.28 _itd = 23.8 u 16 i _N=26.4 - -1 i (DC k cct u 16 i _N=2.9 u 16 i + + + = -2 2 i (DC k cctd _N=6.5 5 i (DC k cctd u 15 i F 1 5 _imx=714.9 _imxt =117 _iu=1268.16 6 tt i h _z_z_pfi f 43 i t ddd it MDiff_pfi cu th i/i (2.9 i th u thhd (dfut i 3 d it i t t th cct cti i F pc. _Mxi =.4248 Nt tht i th ccuti f MDiff_p (tk 3 th piti f th ptic, _Mxt, i ud t c z_z_pfi t dti whth y i f thi i iifict (i.. hw up i thi ptic. tp 2. M yi (3 Gt i pct W t 1-D pct tht w wi put it th dt t MDiff_p. hi i th 2D tix p_tick tht h cpd i F i dii. F ch xi th _z_z_pfi. If thi i i th ckud it, i. Fid v ci f _z_z_pfi y _z_vdv *Mthhd_MDiff_ut_td Cp th piti f th x i f th MDiff_pfi, _Mxt, t th cti f v ci. If y f th piti f v ci withi 2 F i f th _Mxt, fid th u f _z_z_pfi p withi +- 2 i f _Mxt. ut thi u i th piti f thi 1-D pct. 7

tp 3. Ctiz Evy L vt i id f 6 typ: tt (d t iifict L i cicidt ( th ptic w dtctd i L ti ui L i u (d t iifict M i y (ti f x M i << ti f x L i dyd (ti f x M i >> ti f x L i ppt (M d L i i up i ti y w h u-djut pt i th L dt fd d thi dfut : ctiz_utiptd 3 (th /N f th x L vu ut xcd thi vu ctiz_ii 1 (h u f pci i uit f Hz ctiz_irtim.2 (ti f M t L wy f 1, uit W u th _Mxi t fid v d td f L tii f ptic. Nxt, fid th vu: _id = v; _up = v+3* td; _dw = v-3* td F ch ptic t x = tii i F pc f th x L i f thi L vt * If x > _up x < _dw L /N < ctiz_utiptd th vt i tt * If u f v fud f L_tp 13 > 1 th vt i cicidt * If ud i i Hz f pci < ctiz_ii th vt i u * If ti f tii f ptic iv f M t L > 1 + ctiz_irtim L th vt i dyd * If ti f tii f ptic iv f M t L < 1 - ctiz_irtim L th vt i y * If f th v, th ptic i ppt Lty, w ccut ditic wv cpi th M iv ti. EtAiML_ti = _Mxi/_EtAi //Rti f M t L iv ti EtAiML_diff = _Mxi - _EtAi //diffc L Ayi Rut h ut f th yi c viwd i ptic i t. h utiity f viwi th yi ut f i ptic i t vify ccuti, xi udjut vu, tc. tic idtifid y thi u (ipy th w ty y th ptic u vu. My ut ipy viwd vi dipy th p. 8

L Ayi Rut At ttitic. M t i iv A t E, ( L Ḻ p h C pt Dyd Ey 3.5x1-3 Nu RttL Cicidt pt 3. 2.5 2. 2. 2.5 3. 3.5 4. 4.5x1-3 Chpp-M(, i f x i 1 Hit_ppt Hit_dyd Hit_y y c Hit_u Hit_cicidt u 6 q f 2 3 L Dv ( 5 6 L Ayi Rut i tic ph. t L v tii, MDiff_pfi v tii 1 i Mx M (M D if_ p z _ fi Mx L ( i i t c t h i L.2. -.2 -.4 -.6 -.8. 1. 2. 3. 4. 5. 6.x1-3 i f Fiht ( 1 z (H t 6 I t pc MD +338.556 MD O +22.8799 MD NO3 +1281.1835 MD O4-3.3167 MD NH4 +1788.3143 MD Ch +. 12 t v F t i if i 1 1 M ic h 6 C d t c C i - 1 2 3 i f Fiht ( 4 5x1-3 i tic p 3 ṫ (f v 1 i 2 6 _z_vv1_185771 _z_vv2_185771 _z_vdv_185771 _z_n_185771 1 12 1 16 1 i 6 / i 5 f x p 3 t k, d 2 v f 1 i 9

cvt ut L vi 1.4 f th iptt qui p t wk. Cuty th i t cpiity t pf d L yi wh iptt DAQ tti uch th u f p pct th u f F i hv chd tw DAQ hdf fi. O y u y t i th M t, pticuy th ti i d v pct y td wv. O y t F iz ditiuti, F i pt, d F v pct pt th td wv. fi f th pti - td wv y t wk cu c i qui xpct vu t pt f ptic, d th DAQ y v vu c p fi (pv v, v, dx,, tc. h x-xi f i pt cuty cpd t ptic u (itd f ti. hi wi vtuy ch. h At ttitic cti i quit ii, ut wi w th xpic f th cuity vv. U uti d ctiuti VERY wc! Mt f th cut t hv t d with ti ic ttitic ut th dt d iui tht th itut w wki ppy. 1