Cov txheej txheem:

Ob hom Fourier series yog dab tsi?
Ob hom Fourier series yog dab tsi?

Video: Ob hom Fourier series yog dab tsi?

Video: Ob hom Fourier series yog dab tsi?
Video: Tshuaj theem vim li cas thiaj tau nqi ?/ Siv kho mob dab tsi?/paris polyphylla use for? 2024, Kaum ib hlis
Anonim

Piav: Lub ob hom Fourier series yog - trigonometric thiab exponential.

Ntxiv mus, hom Fourier series yog dab tsi?

Plaub hom kev hloov pauv ntawm Fourier

  • I. Aperiodic nruam teeb liab, nruam, aperiodic spectrum. Qhov no yog feem ntau daim ntawv ntawm lub sij hawm tas mus li Fourier transform.
  • II. Periodic nruam teeb liab, discrete aperiodic spectrum.
  • III. Aperiodic discrete teeb liab, tsis tu ncua periodic spectrum.
  • IV. Periodic discrete signal, discrete periodic spectrum.

Qhov thib ob, kev siv Fourier series yog dab tsi? Cia peb xav tias gp (t) yog lub teeb liab lub sij hawm nrog lub sij hawm ntawm To. Nrog rau siv cov plaub series , peb tuaj yeem daws qhov teeb meem ntawm gp (t) mus rau hauv ib qho infinite sum ntawm sine thiab cosine nqe lus. Hauv paus, plaub series yog siv los sawv cev rau lub sij hawm teeb liab nyob rau hauv cov nqe lus ntawm cosine thiab sine waves.

Ib yam li ntawd, Fourier series txhais li cas?

A Fourier series yog ib nthuav dav ntawm lub sijhawm ua haujlwm. nyob rau hauv cov nqe lus ntawm ib tug infinite sum ntawm sine thiab cosines. Fourier series siv lub orthogonality kev sib raug zoo ntawm sine thiab cosine zog.

Vim li cas Fourier series tseem ceeb?

Peb siv Fourier series los sau ib txoj haujlwm ua trigonometric polynomial. Tswj Txoj Cai. Cov Fourier series ntawm kev ua haujlwm hauv qhov sib npaug sib txawv feem ntau muab qee qhov kev kwv yees txog tus cwj pwm ntawm kev daws teeb meem ntawm qhov sib npaug sib txawv. Lawv muaj txiaj ntsig los nrhiav cov dynamics ntawm kev daws teeb meem.

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