Nyquist Theorem - i kaʻimi naʻauao kumu o ka 'ike loea kēia

Mau e piʻi like ai ikaika i alakaʻi ai i ka hooulu ana o ka 'ōlelo a me ka' ike loea, like me ka Nyquist theorem. Ma a me ka nui, keia nä känaka 'epekema ua hoonani mai la ia i ko kakou aupuni i emi ma mua o ka SP Wāhine aliʻi, a LIKE Popov. He hiki i Kotelnikov ikeia mawaho o Rusia, a hiki aku ma mua i loko o ka Fatherland.

Kēia kaulana i kona wehewehe. Nyquist theorem lilo i kaʻimi naʻauao kumu no nā mea a pau kēia mīkini lako a hoʻohana no ka 'ōlelo. Ua Ua nānā ma luna o ka loina hooponopono o digitizing kekahi neaiaea a kiʻi. Ua hana na rula no ka i ka ho omaulia ana i nunui-Kanal palapala o ka hōʻailona mau. Aie i ka Nyquist theorem, e hiki hoihoi walaʻau a me ka "pali" neaiae, e pili ana e hoʻonele o. Cryptographicʻano hana ua i pili kēia ma muli o kēia theorem. Paha ia i hiki ke loaʻa'ē aʻe maikaʻi kēia noi.

I ka mea kākau o ka manaʻo nui no ka hooulu ana o ka Radioʻimi naʻauao hana i hānauʻia ma ka makahiki 1908 ma Kazan. Kona makua kāne i kekahi kulanui Kumu, he kaulana lunaʻenehana a me ka mathematician Aleksandr Petrovich Kotelnikov, no laila ka wā e hele mai ai i nā'ōewe, ka 'epekema ma Victor Alexandrovich ua "i loko o ke koko". Ma hope o ua noho mai ka Moscow Energy Institute, i ke kanaka opiopio i hele i ka puka kula. Eia laila, e hoihoi i loko o kona kumuhana bandwidth loulou nona iho. Aloha kau, oia ua 'ike i ka nui o kanaka, mai kēlāʻaoʻao ke olelo aku i ka ia kelepona uea (me ka hoʻokaeʻili i ae hoomaopopo me ka intelligibility).

Nā mea mahuʻi e pili ana ia ia, a me ka like, me ka mea huli mai, he pololei. No ka laʻana, ka mea Nyquist i ka 1928? Aaeaaaaony ia ina ka hana kalapona o ka nahā i neaiae mea like no ka hapalua o ka wā o ka mea kiekie loa alapine (frequency), a laila, e hiki e hoihoi hou ia.

D = 1 / 2F,

kahi:

D - ana manawa neaiae nalo;

F- i kā mākou alapine (frequency) i loaʻa ma loko o ka hōʻailona pae.

Nyquist reasonablyʻana i ke kelepona nā leo neaiaea me ke alapine (frequency) huahelu o 3 kHz, e mea hiki ke strobe i ke alapine (frequency) o 6000 manawa no kekona i ole lilo o ka maikaʻi kēia 'ike.

Oia wiwo ole a me ka intuitive nā mea mahuʻi ae laekahi moʻolelo o ka 'epekema, mai Western aina e puku i ka manaʻo o "Nyquist Theorem" i ka mea kākau o ka inoa. Nyquist theorem - eʻO ka inoa o ko Nyquist ka theorem ma na mea he nui Europa, a me ka heluna o nā puke 'Amelika. Naʻe, ka mea, o kekahi mea e paipai, a hiki ina ia mea he i hoakaka lea mai, a hookupaa iho la ia ma ka hana, a me kekahi mea - e hoao hoi ia. Theorem i kekahi mai axioms a kuhiakau, i ka ho'ākāka 'ana pono maopopo.

Eia ka mea, mea pono e hookupu mākou Western hoa i. Makakoho Nyquist i loko o ka hooiaio ana o "Nyquist Theorem" i kekahi hoopaapaa.

Me ka nui i lawa ke kiekie o ka ike o ke kiekie makemakika mea hiki ole i maopopo pehea exquisitely ua kālaiʻia Nyquist theorem. Ka maopopo ua me ka nānā 'ana ma ka kokekau waveform e hoʻomōakaaka he helu Kotel'nikova (kona "höʻike" ma pōkole ka lāʻau ikiʻai).

Oia kaʻimi naʻauao kumu ka palena iki lōʻihi like 'ole o ka lāʻau ikiʻai wale neaiaea e hāʻawi mai iā mākou i ka manawa e hoʻohana lawe lima kaul i keia la, e like me ka pono me digitized, a ma lalo i ke kiʻi me ka manaʻoe hana, mele, a he nui nāʻano o ka maʻiʻo.