
sthirathayulla vipareeta q filtering

upayogicha reethiyude sthiratha pariganikkunna prathiphalana bhookambashaasthra chithrangalude resolution vardhippikkunnathinulla oru dattaa prosessing saankethikavidyayaanu stabilised invezhs kyu filtering. bhookamba tharamgam neengumbol oorjja nashtatthinte alavaaya anilaastik attenyuyeshan ghadakam allengil bhookamba gunanilavaara ghadakam aanu q. oru bhookamba maathruka upayogichu kanakkukoottalukal nadathumbol oru pariharam labhikkunnathin naam ellaayppozhum asthirathayude prashnam pariganikkukayum bhookamba vipareeta q filteringinu sthirathayulla pariharam nedaan sramikkukayum venam.
adisthaanangal.
uparithalathinu thaazheyulla vasthukkaliloode oru tharamgam vyaapikkumbol oorjja visarjjanavum vegathayum vyaapikkunnu. oorjja vyathichalanathethudarnnu oorjja nashtam (amplitude compensation) punasthaapikkunnathinum vegathayude vyaapanam moolamulla daattayude samaya-maattam sariyaakkunnathinumulla oru reethiyaanu invezhs q filtering.
invezhs kyu filtering, seasmic invezhs kyu filtering (2008) ennee vishayangalil wang oru mikacha pusthakam ezhuthukayum reethi sthirappeduthunnathine charcha cheyyukayum cheythu. addeham ezhuthunnu
mukalil soochippicha ghattam mathramulla vipareeta q filter nirupaadhikamaayi sthirathayullathaanu. ennirunnaalum, invezhs q filteril anubandha amplitude compensation ulppeduthukayaanenkil, sthiratha nadappaakkunnathil aashankappeduthunna oru pradhana prasnamaanu."
bhookambathinte soochanayil invezhs q filter pilkkala sambhavangalude aamplityoodukalkku amithamaayi nashtapariharam nalkiyathaayi hayle (1981) kandethi. athinaal, nyayamaaya amplitude labhikkunnathin, pinneedulla samayangalil anaavashya amplitude thadayunnathinu computed cheytha filterinte amplitude spectrum paramavadhi nettatthil clip cheyyendathundu. eee aashayathinte adisthaanathil wang oru sthirathayulla vipareeta q filtering sameepanam nirddeshichu, athu ksheenathinum chitharalinum oresamayam nashtapariharam nalkaan kazhinju.vaanginte parihaaratthinte clip cheyyaatha pathipp wikipediyayile bhookamba vipareeta q filtering enna lekhanathil avatharippichittundu. tharamgamekhalayude thaazhekkulla thudarchayude sidhaanthathe adisthaanamaakkiyullathaanu pariharam. eee rooparekhayil njaan loow-paas filtering avatharippichu oru clip cheytha pathippil kanakkukoottum. hayle wang sthirathaykkulla oru reethiyaayi loow-paas filtering avatharippichu.
kanakkukoottalukal.
vaangil ninnulla bhookamba vipareeta q filteringinulla samavaakyam namukkunda
samayathe τ ennu soochippikkunnu, aavruthi w aanu, i saangalppika yoonittaan. oru nischitha aavruthiyile dampingin aavruthiyeyum prathinidheekarikkunna reference moolyangalaanu qr, wr enniva. sthiratha prakadippikkunnathin namukk oru reference freekwansi upayogichu marikadannu kooduthal lalithamaaya samavaakyam nedaam
eee samathalatharamgangalude aakethuka samaya-domaine bhookamba signal nalkunnu,
chithram 1ll vyathyastha kyu-moolyangalkkulla oru bhookamba maathrkaykkulla (2/2. bii) pariharam avatharippikkunnu, ithu samkhyaaparamaaya asthirathaye vyakthamaayi soochippikkunnu. chithram 1 nuu mukalilulla samkhya q nambarumaayi poruthappedunnu, 1 = q1,2 = q2 muthalaayava. phalangal vaanginte pusthakatthil avatharippicha falangalumaayi aduthaanu (oro trace vyakthigathamayi skeyil cheythirikkunnu, athinaal puravasthukkal trace 4 nekkaal trace 5 ll shakthamaan). ennirunnaalum, wang ghattam thothilulla nashtaparihaaravum pariganichu. asthiratha prakadippikkunnathin ghattam compensation anaavasyamaayathinaal athu ellaayppozhum sthirathayullathinaal ivideyulla kanakkukoottalukal amplitudinu mathramulla vipareethamaanu.
loow-paas filtering invezhs kyu-filtering.
praayogikamaayi, samkhyaaparamaaya asthiratha moolamundaakunna karakaushala vasthukkal oru loow-paas filter upayogichu adichamarthaan kazhiyum. oru seismograamte clip cheyyaatha aii. kyu. eph. namukk tii/kyu = 10 enna anupatham undaayirunnappol naikvist aavruthiye 7x106 enna ghadakam vardhippichuvennum 1000 saambilukalil kooduthal neelavum 100 nuu chuttumulla kyu moolyavumulla saadhaarana seismograamukalkku clip cheyyaatha aii. kyu. eph.-nte upayogam urappunalkaan daatta apoorvvamaayi maathrame shudhamaakoo ennu hayle abhiprayappettu. oru ganitha soothravaakyathiloode sthirathaykkulla oru maanadandam sajjeekarikkunnathin wang oru kattoof aavruthi avatharippichu. ennirunnaalum, hailsinte lekhanam pariganikkumbol naikvist aavruthi neekkam cheyyaan ithu mathiyakum. athinartham naikvist freakwensick aduthulla freekwansi kattoof freekwansi aayirikkan anuvadikkuka ennaanu. fig.2 ll invezhs q-filteringinulla (chuvanna graph) maanadanda daatta nalkunna oru bhookamba maathruka nammal kaanunnu. eee modalinte aii. kyu. eph. 5x106 ll alppam kuranja ghadakam kondu naikvist freekwansi vardhippikkumennu namukk kaanam.
chithram 3 ennathu q = 50 (trace 4) ennathinte chithram 2nte amplitude mathramulla vipareeta q filter cheytha adayaalamaanu. phalam samkhyaaparamaaya asthirathaye vyakthamaayi soochippikkunnu. puravasthukkal muzhuvan adayaalangaliloodeyum kaanapedunnu.
chithram 3-nte adayaalathil loow-paas filter prayogichu karakaushala vasthukkal neekkam cheyyaan njangal sramikkum. njangal maatlaabs signal prosessing tool upayogikkukayum 120 hertsil kattoof freekwansiyode fig.4-ll loow-paas filter (seero-phase ir-filter) srishtikkukayum cheythu. filterinte amplitude prathikaranam neelayilum ghattam pachayilumaanu.
fig.4-nte loow-paas filter upayogichu fig.3-ll filtering tracinte phalam fig.5-ll kaanikkunnu. ellah karakaushala vasthukkalum neekkam cheyyappedukayum fig.2-leeii yadhaartha modalumaayi thaarathamyam cheyyaan kazhiyunna aavega prathikaranam namukk avasheshikkukayum cheiyunnu.
aavruthi-prathikaranam.
chithram 3 (clip cheyyaathathu), chithram 5 (clip cheythath) ennivayude tracinte freekwansi prathikaranathekkurichulla patanam filtering prakriyayekkurichu kooduthal ulkkaazhcha nalkum. filteringinu munbulla digital freekwansiyude pravartthanamenna nilayil aavruthi prathikaranatthinte vyaapthi chithram 6 kaanikkunnu. loow-paas filter upayogichu filter cheyyumbol naikvist freakwensick chuttum enthaanu sambhavikkunnathenn eee praathinidhyam oru nalla chithram nalkunnu. asthiramaaya oorjjam naikvistfreekwansikwans aduthaanu shekharikkunnathu. filter cheythathinushesham naikvist-freakwensick chuttumulla asthiramaaya oorjjam poornnamaayum neekkam cheyyukayum fig.7 fig.5 nte impulse prathikaranatthinte freekwansi prathikaranam nalkukayum cheiyunnu.

