ebook img

BSTJ 40: 3. May 1961: A New Technique for Increasing the Flexibility of Recursive Least Squares Data Smoothing. (Levine, N.) PDF

5.5 MB·English
by  
Save to my drive
Quick download
Download
Most books are stored in the elastic cloud where traffic is expensive. For this reason, we have a limit on daily download.

Preview BSTJ 40: 3. May 1961: A New Technique for Increasing the Flexibility of Recursive Least Squares Data Smoothing. (Levine, N.)

A Now Technique for Inercasing the Fleaibility of Reeursive Least Squares Data Smoothing By >. LEVINE, tng rvarne fet apuniee de somthing te ams lh gina sip on beep Je ‘lara. The ava rercton of ¢ convent dz ier cen Be re ‘nove tne ting the option weipting a Pours Sots. he ‘math aso prone a 2 {Ee vate) eimai he eet at sy the ems jor ns ote ena ino Gotinem esse eticims eon be deans, Ths festawe gent soe fg, 200 ern 9 rose Tet ast da ae Dag sk fee ja veal Ie cm Fr attain a viqes which can be apd, na tne trader obras of Sdios raveliag alam Mgie webriahle (ajeetnie, The besvatinay an sieually proces liga sep, a7 tea. match ft haw be ces dese toeaniyses vite 9 the anaes inion ‘of conatess Pieper eee te ne ae tonic, mene Test ysis soothing, was theort x) oumdacon say seabed serena pure ge Hg tr pep se ha ls ele se er tle ticery ayer Mesilla In encore vice va of Dieta tutions mile macnt ning ite euebtity “or eompuse a Tytler nr vu rnd comes adsl lo sw rn yresicesiy emule ave vey at le Cone. mebe ‘nd anew user acou, Tha the alcrage teenies ace fadepec fe toe ramber of bkervatrce and ars aetuall quite modest. ‘We wi sks use the term “cps-mua smnnthin," which ste aaterperted 21 -be Tense snsice seuss 2, le weuhting of daca mresoly ptepersieal thsi ovr yarn: Th cacy ta peor eynicnm amoorbing i ra tina phere ie vurathi fet neeseirly Hiv magitie' in bere tional ror are detenaiagble (ese Puen Aeperdent cute i um OF the seeuagee of sho oethod Aske heres Onor lene pets of bserration, «sgl et inereae fn Ube ara of che sescothe oo tds nny Hrsskceved by propel wcging thease he we derivation, honrser, so Testes unre anche weighting fae, th sllowing an arsilrezysequete ef sights lr be placed on the data, ‘ovions Hod {Il eee devote a the seizes oh position one svlneiteeemmiag-bo lo er sfner vain elie lone rag Tine ita nn aotelotalin, In fet LL wo eaider Qe vote of soueant tea intra» phors ene spas te eva lace an the ably 1 ompensite propre iv aising obscene Wr baum lk “nels ens for Getermiing nptisnite gaze ea for pera bseneations, tahish aw of wonnrad rte nov og ater. Ln Soc an ILD Cie sorbic iy exornded 20 ale Hi en uf arbitrary da Interv ‘hu hu eptieion to eas igloo it “he appleby his a br my onuenl veneheon Section LV, bere ch Ini Torhang the eis” eno aceleacieze ar dsr wT Ap Dpendig AUsee shew tins te ea ajuae diate fre Uae bea Dares line of res wnay be wblzaned neve, Thi wal sy vet aoa meunsoF real Hine ene detent way ef ong fn instaneanuons swine Sarthe rea olvercl oee rae dats teaching ApponlisP wesrtns tar shame reoeseury i pei eas ques roe eve inning aes a ae Toe f pr obervatione votes br Te aoetEod iy te woke be, whee Las smoocbing ofenlive iver al. chaevetins, Favs ia Appedis C, the eeensin of the meted ta include wlio uf aroolraon ie eure. "Tn evisetion and csr ow of UN stn ot de aco we ovenied iv il onciest of rida obarsvalioas & mown hedies. Hw {het oh teebnigue er heaping] oa aerate quit hi ea Ieesprexed se lircr somliveton of smactnns wate he wean sitsients are to be estimated "Ve divans of this estou af yevormicg course lense ones sisannleng bese on tetas expla iy Kaos.” Foe sions, ‘eect conde Us cae of eagle ostenio High A 0. (iene ueeracione fd — 1,2," yw, eeceonds parts re made by tr roianeks whe rmeascrenen rues ae sake Uy he neers WeENEITR DKA? st oh ata sETIEN sa suv ty itn cb sw wea at yaraine 4 We wah eo bla ve hea eatin the poston (iy? ata ity Gy to Ue at wove inn® by iM earing the atest ey aio #.) sits Tear oneal ec thet — 1 pave ebseration, Lhd Uv aoe il Bed ie some 7 ped Geto fron che eet aque eo! sgpeadon, A amtaniag unre ians Taser ae ‘We may vote this sam as dolon ae- Sin in wane bs here =a and wan arty wig fst iteatting this Foust wits spect 20, a, tl elling ner ting eg tio Sq. vote Hes Henne eutine a Sma Daw sie nEw tne Biante Bhan cow, seth pai) hake te the Vii Shin bm in he Sinolsnoass elucon of 1 ae 184 viele he stondand eos quarse erinatos nf pasion aad eloily: homer the expiry anv he perneetal ae estivis Tae ie rec oc, Tsien enemy bor an pr ea bw ne 9 by 82 an nag seem mactstead aun RAYE swe repo the avwoas af 11 eheough ve ning the lst obsreua: Bhs viders nates ofthe Ge Tie sein al vols aot Doucet a wa Deeerticting wit neq bs fa and faa gil takin uae a doin i 2, ee resulta ea be westan the Gort Bike dd peal EIR Ht | Mytnaa = Ey tae sh a Sbteting (7) fen £1 a(R) Rowe (32, we bn Bis Ry EB Bly ee 6d =, a whe mis ae oat 19 ao tt an 8 I, asi J a: un gnetiony (> ate (1.5 aypleity iota ha ame cee dinate een vambénction of “OP de ith vee uboewvetions tec and oy zw the yetion and rebvity senting suena and ae ‘elected orca savers ro 121 (0 Ung dette Bye (UE “The wlio Bey | a 8M oy re owely be peed th cto ua Mune 2a ana 25 poss and veleity frmes che data inser Mased et ® — 1 ebverie ions ao as we ey dice onthe hte a8) The snarting gations nye tke the rm ht A) ety = ad i) B= MG = 2) = 194 Aaa) | Baby UT) which show thatthe predited wth postion aad veloity may be sd Ye repent all ast its ‘The ily to optimize the sswothing for varying, measurement errr. aries tram the Hack that he anttioe I Soy td fan theres be simmered FoeRyee 6-0 Uy Mya + Bor Ps, te ety us) ‘Ths, coc now oben ees I subir sight Bye an courte show by stotnial enalyds ptiasin’y we'ghtea ky hsieg wwe = ye! Sine Jy fede by 114), te latexes elon aoe roy fe cond ava consiteney choc, Note chet = mised bseration rag be promis keemunted for by ching ite wright fart val vero aml wen th use wel Equariees (10) though 1) thew at Tuestnatheel rorites eq 20 thei pected values, athe futur sweating ofboth ld nd ee dat eno aezed to coment fr le rmising observation, Tw Mast his, Talis Pan 1 has boo = structed to shan how the weighting a cys fr the nse or liygseund soi observations, Meze we ave eoeen wy — 1 fo sim plies, Not thot the effet of te missing obserstons om the varias Patios ogc? ad esting (woe Tab 11 eines rp with the tition of tw observations romped to the valet of these ratios ‘shew all absarvtione ane pose Tho cetal weighting cnet appli! to dhe observations v0 sel the smote potion ad veloiey eaosenates cam be determined br solving (2) and (3) sineltomssoae, Ie deine Ben aeEan, om ‘Dawin T— Aes, Oaeuawanions Pensrer 6) — a aud 8 ye e= Luk = t= 0h, on ah = AG, = ln — AE bw, (ay "Thus vecens ar tbat! "alls Tan IE forthe special enses conidesed Th digital computer applicainss this mele would requiee storage Obs lag Pony fon y Hoy ttl Jy gy eve) Upon eesipt oc, teria the cams ae asi, IB ay and 2. ace on uted, (12) and (U9; fy gd dy are derives, C104 ane (5 wd peta qe formed. (18), gna raed with the uri) vale at Titeuies “Fae antou't of storge aoe eptacon per eye ile Denes uf i inte af uber Tn siitione where “his “ye of faeathicg can oe cmplayel rhe rvethsd witli hese effers seve slvactages over eoasta anal conv Les? Syl sles MAL sor 07 Yasue ML Ossuuvarions 2 Avo 6 Misoeo rnet2od. Yr ex he wlan fators oun e abit chosen tritsoul afin. the Stness sete, Le i the hace of eon, true steht stan sna ered yah soothing pres. hus, thew ft he wow ta ple rater Zor lssst empha oa be dat. by inensusng Cor soenns qt bel elive eight with expert ole fhe. The neseanmyat sees to) vary th a Kin way wih pe tion, velr3, wr in thew ean be shosts eq to Loy ab ott Tinie Isang for ss tors. It inporcant o ote ere that tin et ores oni feed of dhe rab of fhe eeu bet thei giles ee he sgn Be Rn oak finevalusce te station savy of the snate eonrinates, ‘The press ofthe ts es pei diene a aia rls at ae Hine assign Inted Gauss mets rene) fora nortan caw fa) the righting fasts nes sual Ka ene Kin Ib) ae ma a nt oh and = La 8 oom nm, sven TarmNEAE HoULLNAL, MAY 1001 Tooth ease, we may write hich, yal wo of (ah (14, eb aad sath ; newts, co bon (oa, oR wn (on, EB) os fiw cas (), sd K repeal ih Tor case ih ‘he wextuey of ae aclieary peeic-iou ofp unite (pr acande} inve ho puss or fl ns tay Be oeenined ors uation (2515 re: ea in wee wing pss wha he fe tyat observation's pla" iy walking a pict, bof dye aad surrogate ie vaio ase She opin ws sae ix abe yen the varices of she fink Ties observation ant the poetnn, ue, using (25) with p= 1 sve agin ‘i pot GH, cas cai, timate Liga gxie = en) Loqfel ease “The gate size deerme Tae (28) 4 irae awraged when servations ate ised, le aplinny Tory rgane abee tins and ice Tor eompletenes, we pre the expe value al quate aftr observations for he ese ofall = USI MRASH AUER a amore ew SH et, tie 2) arent) Bin = 1) = aol Pie Tee a agg 8 1H sgana gate oy go LETS Iv rey oan of intone, che tne sntsvle beta nor tage suey seers Hele tose af tho previous seein. at sy sete Te iat ade Devas aliknary bert ties by eploing the spuscity EES fhe hs ail easing oy He 6 ‘Tren Gad 06 tadeid -Ee- =D tits, 830m nue erst coe-SIOAT ouuNal HEY IB swbere Pe mncbangl thsi Tas seein aos ream Bea awe Gb ant ik tos 2 Mo bl Fe Ns Be Soot = th ‘ke soothing eftatinas agin he eae turn, wes Tah te mesthing evel arn inpliiiy conte the ive dependence Tho proiets G | List ober fut a compat Foun hae an eho, obeinasy, om rites know Leas awit he (| Th Slnervatin evesforsounpcatn 2 tafe hee} stakes ‘en yaad, Fo ie teres mE ue polit the Ge Dist ob sevsticn ay ote to "evi if, me must etinate 1 te of le oveation “fyi nal apply a appeepine yale about fy? The = tolfe, lege stright sever forall acinecs St exmor. No Aleeedatio ye aality of the BU 2 made only a peor elie ts uf caer he obtened, ess This mgs a devi for mpi, ary i enn oe Sonn woenved, ae as De wE Into vil fle BaF Rage hasan a Th cho preven sean, 96 doseribecl Tat wisi bervarion ro be ervey aesunted fs In he ease of varia dete tees, Suly the ins Miferencs bereech swerve obserratins enters he Suncor. Thus, an sbsreution Mat ueeas iepaced (2a ,) ut over mule Qees = 02 hava sire on te equacon. hoes narren ign pesca tre yoy bs fer Faun = thn hangs ows fd Me coig pant erceving He pt ms se BS “Tae atesaintion of "ve npc ace lee Faw suns

See more

The list of books you might like

Most books are stored in the elastic cloud where traffic is expensive. For this reason, we have a limit on daily download.