Nyquist Theorem - da msar tambayar Dalili na zamani bayanai fasahar

'Yan nasarori haka karfi da tasiri cikin ci gaban na sadarwa da kuma bayanai da fasahar zamani, a matsayin Nyquist Theorem. By kuma manyan, wannan masanin kimiyyar ya ɗaukaka kasar mu bai gaza na SP Queens, ko AS Popov. Yana yiwuwa Kotelnikov aka sani a waje Rasha ko fiye a cikin Fatherland.

Wannan daraja yana da nasa bayani. Nyquist Theorem zama msar tambayar dalilin dukkan zamani dijital kayan aiki amfani da shi don sadarwa. Ya dogara ne a kan manufa da digitizing wani sigina ko image. Yana halitta da yanayi na lissafi na Multi-tashar sadarwa na wata sigina biyu. Saboda da Nyquist Theorem, za ka iya mayar da m da kuma "ragged" sigina, samar da kariya daga. Hikimar dabara ne ma fi mayar dangane da wannan Theorem. Zai yiwu ta iya samun sauran amfani da aikace-aikace.

Marubucin wannan muhimmanci ga ci gaban da rediyo msar tambayar aikin da aka haife shi a 1908 a Kazan. Mahaifinsa farfesa ne, sanannen injiniya da kuma lissafi Aleksandr Petrovich Kotelnikov, don haka a lokacin da ta je kwayoyin halitta, da kimiyya a Victor Alexandrovich ya "a cikin jini". Bayan kammala karatu daga Moscow Energy Institute, saurayin ya tafi zuwa kammala karatu makaranta. Ga sa'an nan sha'awar a cikin topic bandwidth mahada iya aiki. Kawai sa, ya kasance m yadda mutane da yawa daga kowane gefe iya magana guda tarho waya (ba tare da nuna bambanci zuwa ga fahimtar juna da kuma fahimta).

Balanci zato game da shi, haƙĩƙa, kuma ko da, kamar yadda ya juya waje, quite m. Alal misali, Nyquist a 1928 da shawarar cewa idan da wajibi sake zagayowar daga cikin rata siginar da take daidai da rabin zamanin da mafi mita, sa'an nan shi za a iya mayar da.

D = 1 / 2F,

inda:

D - halatta lokaci siginar vuya.

F- iyakar mita dauke a cikin siginar bakan.

Nyquist basira zaci cewa tarho audio sigina ciwon mita kewayon 3 kHz, yana yiwuwa ya strobe a mita na 6000 sau da na biyu ba tare da wani asarar amfani bayanai.

Irin wannan m, kuma da ilhama da zaton damar zamani masana tarihi na kimiyya daga kasashen turai don maye gurbin mas'ala ta "Nyquist Theorem" marubucin sunan. Nyquist Theorem - shi ke da sunan Nyquist ta Theorem a Turai da dama da American litattafan. Duk da haka, shi ne abu daya don bayar da shawarar, ko da idan shi ne mai matukar m da kuma tabbatar da yi, da kuma wani abu - don tabbatar da shi. Theorem bambanta daga axioms ko jarrabawa, wanda ta definition bukatar hujja.

Ga shi wajibi ne don biya haraji to mu Yammacin abokai. Fifiko Nyquist a cikin gwaji na "Nyquist Theorem" babu wanda ya yi musu.

Ba tare da wani isasshe babban matakin ilimi na mafi girma lissafi shi yiwuwa a fahimci yadda exquisitely tsara Nyquist Theorem. A hujja dogara ne a kan wani kimantawa waveform cewa ƙayyade lamba Kotel'nikova (ta "mãkircin" by short hatsaisai).

Irin wannan ne msar tambayar dalilin da ƙaramar duration na bugun jini alama ba mu damar da za su yi amfani da wayoyin hannu a yau, kazalika da digitized da hõre image aiki, music, kuma da yawa wasu iri abun ciki.