
samaya-vyathiyana samvidaanam

niyanthrana sidhaanthathil, oru samaya-vyathiyana (tiai) samvidaanathinu samayathe aasrayikkunna oru sisttam function undu, athu samayathinte nerittulla pravartthanamalla. atharam samvidaanangal sisttam vishakalana mekhalayile oru klaas sistangalaayi kanakkaakkappedunnu. samayathe aasrayikkunna sisttam function samayathe aasrayikkunna inputt functionte oru functionaanu. eee function time-domainine parokshamaayi aashrayikkunnuvenkil (udaaharanathinu, inputt function vazhi), athu time-invariyantaayi kanakkaakkappedunna oru samvidaanamaanu. neremarichu, sisttam functionte time-domainile eathenkilum nerittulla aashrithathvam oru "time-waring sisttam" aayi kanakkakkaam.
ganithashaasthraparamaayi paranjaal, oru sisttathinte "samaya-vyathiyaanam" inipparayunna savisheshathayaana
signal prosessinghinte bhashayil, inputum aouttputtum prakadippikkunnathupole sisttathinte transfer function samayathinte nerittulla functionallengil eee property thripthippeduthaan kazhiyum.
oru sisttam skeemyaattiksinte pashchaathalatthil, valathuvashathulla chithratthil kaanichirikkunnathupole eee savisheshatha inipparayunna reethiyil prasthaavikkam
oru time-invariyant sisttavum leanier aanenkil, athu enmr spectroscopy, seismology, sarcuteukal, signal prosessing, kantrol thiyari, mattu saankethika mekhalakal ennivayil nerittulla prayogangalulla leanier time-invariyant sidhaanthathinte (leanier time-invariyant) vishayamaan. nonleeniyar time-invariyant systengalkku samagravum niyanthrikkunnathumaaya sidhaantham illa. vyathirikthamaya samaya-vyathiyana samvidaanangale shift-vyathiyana samvidaanangal ennu vilikkunnu. samaya-veriyant property illaatha sisttangale samaya-veriyant sistangalaayi padikkunnu.
lalithamaaya udaaharanam.
oru sisttam samaya vyathyaasamullathaano ennu engane nirnnayikkaamenn kaanikkan, rund sisttangalum pariganikkuka
sisttathinte sisttam function formula a-yude formula a-yude formula a-yude purathulla "t"-neey vyakthamaayi aashrayichirikkunnathil, ithu samaya-vyathiyaanamalla, kaaranam samaya-aashrithathvam inputt functionte oru functionalla.
ithinu vipareethamaayi, sisttam biyude samaya-aashrithathvam samaya-vyathyasamulla inputt formulayude oru pravartthanam maathramaan. ithu sisttam biye samaya-veriyantaakkunnu.
chuvadeyulla aupachaarika udaaharanam kooduthal vishadamaayi kaanikkunnath, sisttam bii samayathinte pravartthanamenna nilayil oru shift-invariyant systemaanengilum, "tii", sisttam eiii allah.
aupachaarika udaaharanam.
mukalil paranja eiii, bii samvidaanangal enthukondaanu vyathyasthamaayirikkunnath ennathinte kooduthal aupachaarikamaaya thelivu ippol avatharippikkunnu. eee thelivu nirvahikkaan randaamathe nirvachanam upayogikkum.
kooduthal pothuve, inputum aouttputtum thammilulla bandham 
kaalathinanusarichu athinte vyathiyaanam
samaya-veriyant systengalkku, sisttam propertykal samayathinanusarichu sthiramaayi thudarunnu, 
mukalilulla eiii, bii sisttangalil ithu baadhakamaanu
amoorthamaaya udaaharanam.
namukk shift oopparettare formula 26 upayogichu soochippikkaan kazhiyum, avide formula 27 ennathu oru vekttarinte soochika settu maattenda thukayaanu. udaaharanathinu, "advance-bye-1" samvidaanam
eee amoortha notteshanil prathinideekarikkaan kazhiyum
ivide soothravaakyam _ 30 ennathu nalkiyirikkunna oru functionaanu
sisttam shift cheytha outtputtu nalkunnu
athinaal formula _ 33 ennathu inputt vektarine 1 kondu munnott kondupookunna oru oopparettaraanu.
oru oopparettar formula 34 upayogichu nammal oru systethe prathinidheekarikkunnuvennu karuthuka. shift oopparettarumaayi yaatra cheiyukayaanenkil eee sisttam samaya-vyathiyaanamaan, athaayath.iii.,
nammude sisttam samavaakyam nalkiyittundenkil
appol namukk sisttam oopparettar formula 34 formula 30-ll prayogikkaan kazhiyumenkil, thudarnnu shift oopparettar formula 26, allengil shift oopparettar formula 26, thudarnnu sisttam oopparettar formula 34 enniva prayogikkaan kazhiyumenkil, rund kanakkukoottalukalum thulya phalangal nalkunnu.
sisttam oopparettare aadyam prayogikkunnathu nalkunnu
shift oopparettare aadyam apekshikkunnathu nalkunnu
sisttam samaya vyathyaasamillaathathaanel,