Hiki ke manaʻo ʻia nā hōʻailona a me ka walaʻau ma ke kamaʻilio ʻana he mau kaʻina hana maʻamau e loli me ka manawa.
Loaʻa i ke kaʻina random nā hiʻohiʻona o ka hoʻololi a me ka hana manawa, hiki ke wehewehe ʻia mai ʻelua mau manaʻo like ʻole akā pili pili: (1) ʻO ke kaʻina random ka hoʻonohonoho o nā hana hoʻohālike palena ʻole; (2) ʻO ke kaʻina hana maʻamau he pūʻulu o nā mea hoʻololi.
Hōʻike ʻia nā ʻano helu helu o nā kaʻina hana maʻamau e kā lākou hana hāʻawi a i ʻole hana hoʻopaʻapaʻa probability. Inā kūʻokoʻa nā waiwai helu o kahi kaʻina hana maʻamau i ka manawa hoʻomaka, ua kapa ʻia ʻo ia he kaʻina hana paʻa.
ʻO nā hiʻohiʻona helu kekahi ala maʻemaʻe e wehewehe i nā kaʻina hana maʻamau. Inā paʻa ka manaʻo o ke kaʻina hana a me ka hana autocorrelation R(t1,t1+τ)=R(T), ua ʻōlelo ʻia ke kaʻina hana he paʻa maʻamau.
Inā paʻa paʻa ke kaʻina hana, a laila pono ke paʻa paʻa, a ʻaʻole ʻoiaʻiʻo.
He ergodic ke kaʻina hana inā like kona awelika manawa me ka awelika helu helu.
Inā he ergodic kahi kaʻina hana, a laila paʻa nō hoʻi ia, a ʻaʻole pono ka ʻoiaʻiʻo.
ʻO ka hana autocorrelation R(T) o kahi kaʻina hana paʻa maʻamau he hana like ia o ka ʻokoʻa manawa r, a ua like ʻo R(0) me ka mana awelika holoʻokoʻa a ʻo ia ka waiwai nui o R(τ). ʻO ka mana spectral density Pξ(f) ka hoʻololi Fourier o ka hana autocorrelation R(ξ) (Wiener - Sinchin theorem). Hoʻoholo kēia mau hoʻololi i ka pilina hoʻololi ma waena o ka domain manawa a me ka domain frequency. Hoʻolohe ka puunaue likelika o kahi kaʻina Gaussian i ka puunaue maʻamau, a ʻo kāna wehewehe ʻikepili piha e pono ai i kona mau hiʻohiʻona helu. ʻO ka puʻunaue likelika hoʻokahi wale nō e pili ana i ka mean a me ka ʻokoʻa, aʻo ka puʻunaue likelika ʻelua e pili ana i ka hana hoʻopili. ʻO ke kaʻina hana Gaussian he kaʻina Gaussian ma hope o ka hoʻololi laina. He mea pono loa ka pilina ma waena o ka hana puunaue maʻamau a me ka hana Q(x) a i ʻole erf(x) i ka nānā ʻana i ka hana anti-noise o nā ʻōnaehana kamaʻilio kikohoʻe. Ma hope o ka hele ʻana o ke kaʻina hana ξi(t) i loko o kahi ʻōnaehana laina, paʻa pū kāna kaʻina hana ξ0 (t).
ʻOi aku ka maikaʻi o nā hiʻohiʻona helu o ke kaʻina hana random narrow-band a me ka hawewe sine a me ka walaʻau Gaussian narrow-band no ka nānā ʻana i nā alahele maʻemaʻe ma ka ʻōnaehana modulation/bandpass system/wireless communication. ʻO ka hāʻawi ʻana iā Rayleigh, ka hāʻawi ʻana i ka laiki a me ka puʻunaue maʻamau ʻekolu mahele maʻamau i ke kamaʻilio ʻana: ʻo ka enveloppe o ka hōʻailona lawe sinusoidal a me ka walaʻau ʻo Gaussian narrow-band ʻo ia ka hāʻawi ʻana i ka Laiki. I ka nui o ka hōʻailona amplitude, e maʻa i ka mahele maʻamau. Ke liʻiliʻi ka amplitude, ua like ia me ka māhele Rayleigh.
ʻO ka walaʻau keʻokeʻo Gaussian he kumu hoʻohālike kūpono no ka nānā ʻana i ka leo hoʻohui o ke kahawai, a ʻo ke kumu nui o ka walaʻau i ke kamaʻilio ʻana, ka walaʻau wela, no kēia ʻano walaʻau. ʻAʻole i hoʻopili ʻia kona mau waiwai i nā manawa like ʻole a kūʻokoʻa i ka helu helu. Ma hope o ka hele ʻana o ka walaʻau keʻokeʻo i loko o kahi ʻōnaehana band-limited, ʻo ka hopena ka walaʻau palena ʻole. ʻO ka leo keʻokeʻo haʻahaʻa haʻahaʻa a me ka leo keʻokeʻo band-pass ka mea maʻamau i ka ʻike kumu.
ʻO ka mea i luna nei ka ʻatikala "random process of communication system" i lawe ʻia e Shenzhen HDV Phoelectron Technology LTD., a ʻo HDV he hui kūikawā i ka kamaʻilio optical e like me ka mea hana nui, ka hana ponoʻī o ka hui: ONU series, optical module series,OLT moʻo, Transceiver moʻo nā moʻo wela o nā huahana.
