Fesili fa'amuamua: Nyquist, Shannon po'o Kotelnikov?

I luga o le faʻamuamua o galuega i le tulaga o faʻamatalaga faʻamatalaga.

O le paionia i lenei lomiga faaonaponei o V.A. A'o a'oga fa'au'u i le MPEI na fa'asalalauina i le 1932. galuega, o se tasi na taʻua "I luga o le gaosiga o le "ether" ma le uaea i fesoʻotaʻiga" ma tuʻuina atu i le lipoti a le First All-Union Congress i luga o le toe faʻaleleia faʻapitoa o fesoʻotaʻiga ma le atinaʻeina o pisinisi maualalo. E lei faia le fono. Na lomia i le 1933. e fai ma meafaitino mo le lipoti (talia mo le lolomiina i
Novema 1932). O le fa'amaoniga aloa'ia o le fa'amuamua. Ina ua maeʻa ana aʻoga faauu, na lipotia e Vladimir lana galuega i le Fono Faʻaleaʻoaʻoga. Na faʻamaonia le lipoti, o le galuega "About throughput..." e leʻi malamalama - "... e foliga mai e moni, ae o tala faʻasaienisi."

Muamua, o lenei galuega o loʻo faʻaalia ai ni faʻatonuga lelei mo le atinaʻeina o fesoʻotaʻiga ma motusia nofoaga e muta. Lona lua, i le itu o faʻamatalaga o faʻafitauli tau fesoʻotaʻiga, o le faʻasalalauga numera o faʻamatalaga na faʻamaonia i le matematika, o le lauiloa lauiloa.
Kotelnikov. O le mea moni, o lenei galuega sa i ai 7 theorems.

O le mea lava lea e tasi na taʻua e Shannon ma isi e pei o ia o le “reference theorem,” lea na ia lomia i le 15 tausaga mulimuli ane i le 1948. Ma, i le 1970s, faʻatasi ai ma le atinaʻeina o mea tau eletise, sa i ai se faʻalavelave masani o le fiafia i le faʻaogaina o faʻamatalaga numera. I le 1977 O se fesili na tulaʻi mai ina ua faʻatulagaina mea e faʻamuamua ma le igoa WKS theorem, Whittaker-Kotelnikov-Shannon.

I le 1999 O le Eduard Rhein Foundation, i le aotelega o mea mataʻina faasaienisi na ausia i le XNUMXth seneturi, na tuuina atu se faailoga i le saienitisi Soviet Vladimir Aleksandrovich Kotelnikov i le vaega "mo suʻesuʻega faavae" mo le "muamua faʻa-matematika saʻo faʻatulagaina ma lolomiina aʻoaʻoga o faʻamatalaga."

O le isi manatu manaia.

O le igoa o Harry Nyquist e sau i luga, atonu o se tasi o tagata muamua na malamalama ma faʻaalia le manatu o faʻataʻitaʻiga faʻailoga e tatau ona eseese i taimi vaeluaga tutusa ma
e tusa ma le fusi fa'afeagai o lona lautele fa'aaliga. E masani ona tulaʻi mai, aemaise lava i saienitisi i Sisifo, i le faʻaaogaina o le faaupuga "Nyquist sampling rule." Ae o lona manatu e fesoʻotaʻi ma le faʻafitauli o le le faʻaogaina o le faʻaogaina o se faʻailoga telekalafi, e ui lava na latou latalata i le faʻafitauli o le faʻaogaina o se faʻailoga analog. O le polofesa o D. Luke i se mataupu e uiga i le amataga o le sampling theorem ua faasino atu i lenei mea: “O le saienitisi muamua na ia faia saʻo le sampling theorem ma faatatau i le faafitauli o le aʻoaʻoga ma tekinolosi atonu o V.A.

O sina fa'asesega fa'apea fo'i ma mea e fa'amuamua.

I le 1939 Na faia e Vladimir Aleksandrovich meafaigaluega tau fesoʻotaʻiga i le tasi itu faʻaili ma faʻapipiʻi na o ia, ioe e le naʻo ia, aua na teena e le pisinisi: "E leai se tasi na faia muamua lenei mea."
faia." Na faʻapipiʻiina ae leʻi taliaina i luga o le laina Moscow-Khabarovsk. E leʻi taliaina: “E faigofie ona faalogo.” Ina ua uma ona faitau le tusiga a H. Dudley, na faia e Kotelnikov meafaigaluega faʻamalamalamaga tautala ma
na otootoina lona manatu i le lipoti "Tulaga masani o le faʻailoga otometi" ia Iuni 19, 1941. O le pepa lenei o le mea muamua lea na fa'atulaga mana'oga mo le fa'a-matematika e le mafai ona fa'ailoaina
faiga fa'atasi ai ma fa'amaoniga o le le mafai ona decryption. E leʻi i ai i se lomiga tatala (pe atonu ua uma?).

K. Shannon Setema 1, 1945 fa'ata'ita'iina auala e fausia ai faiga fa'ailoga malosi na fa'asalalauina i le 1949.

Toe iloiloga puupuu o le “Advances in Physical Sciences”, conferences and symposia, Iulai 2006, voluma 176, nu

E mafai ona la'uina mai i le so'oga fa'amatalaga auiliili ma fa'atusatusaga fa'a-matematika.

I le faaiuga, e mafai ona ou fai atu o le tele o taimi i tusitusiga faasaienisi ma aoga o tusitala mai fafo e le leoa, ave le faʻafetai mo i latou lava, pe, i tulaga ogaoga, faʻatauvaʻa taunuʻuga Rusia-Soviet-Rusia ma mea e ave i ai le faamuamua.

O le isi lomiga o le a avea ma se tuʻuina atu o meafaitino i luga o le fesili "O ai le na faia le leitio, Popov poʻo Marconi?" pe afai o loʻo ia te aʻu le afi tutusa i le pito i tua e pei o aso nei.

puna: www.habr.com

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