Video: Vim li cas Fourier series siv hauv kev sib txuas lus engineering?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Kev sib txuas lus engineering Feem ntau cuam tshuam nrog cov teeb liab thiab yog li cov teeb liab muaj ntau yam xws li txuas ntxiv, tsis sib xws, ntu ntu, tsis yog caij nyoog thiab ntau yam ntau yam. Tam sim no Fourier kev hloov pauv pab peb hloov lub sij hawm domainsignalin zaus domain. Vim nws tso cai rau peb rho tawm cov zaus ntawm lub teeb liab.
Kuj paub, Fourier series siv rau dab tsi?
Hauv paus, plaub series yog siv rau sawv cev rau ib lub sij hawm teeb liab nyob rau hauv cov nqe lus ntawm cosine thiab sinewaves.
Tom qab ntawd, lo lus nug yog, vim li cas peb thiaj siv Fourier series thiab Fourier hloov pauv? Cov Fourier series yog siv los sawv cev rau aperiodicfunction los ntawm ib tug discrete sum ntawm complex exponentials, whilethe Fourier transform yog ces siv los sawv cev rau ageneral, nonperiodic muaj nuj nqi los ntawm ib tug nruam superposition orintegral ntawm complex exponentials.
Hais txog qhov no, vim li cas Fourier transform yog siv hauv kev sib txuas lus?
Nyob rau hauv txoj kev xav ntawm kev sib txuas lus ib tug signalisgenerally ib voltage, thiab Fourier kev hloov pauv isessentialmathematical cuab tam uas muab peb ib qho kev pom sab hauv ntawm lub teeb liab thiab nws cov npe sib txawv, nws coj li cas thaum nws hla ntau yam kev sib txuas lus channels, lim, andamplifiers thiab nws kuj pab hauv kev txheeb xyuas ntau yam
Dab tsi yog hom Fourier series?
Plaub txawv Cov ntaub ntawv ntawm Fourier transform . Txhua qhov kev sib tham dhau los Fourier series expansionsandtransforms ntawm ntau yam hom ntawm cov cim (periodic, aperiodic, nruam, discrete) tuaj yeem suav hais tias txawv daim ntawv (cov xwm txheej tshwj xeeb) ntawm tib yam Fourier kev hloov pauv , thiab ua li ntawd.
Pom zoo:
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