Ib tus sawv cev raws li tsev neeg ntawm kev ua haujlwm no yog hu ua "cov Fourier complex". Cov coefficients, cn, feem ntau yog cov lej nyuajNws feem ntau yooj yim los xam dua li qhov kev txhaum / cos Fourier series vim tias qhov sib xyaw nrog cov exponentials hauv peb feem ntau yooj yim los ntsuas.
Puas Fourier transforms ua complex?
In the complex Fourier transform, two & are arrays X[k] x[n] X[k] of complex numbers … Thib ob, Fourier tiag tiag tsuas yog cuam tshuam nrog zoo zaus. Ntawd yog, qhov ntsuas qhov ntsuas zaus, k, tsuas yog khiav ntawm 0 mus rau N / 2. Nyob rau hauv kev sib piv, qhov complex Fourier transform muaj xws li ob qho tib si zoo thiab tsis zoo frequencies.
txhais tau li cas los ntawm Fourier series?
peb tuaj yeem sau Fourier series ntawm kev ua haujlwm hauv daim ntawv complex: … c 0=a 0 2, c n=a n − i b n 2, c − n=a n + i b n 2. Cov coefficients hu ua complex Fourier coefficients. Lawv raug txhais los ntawm cov qauv. c n=1 2 π ∫ − π π f (x) e − i n x d x, n=0, ± 1, ± 2, …
Puas Fourier hloov pauv txoj haujlwm nyuaj?
Lub Fourier hloov pauv ntawm lub sijhawm ua haujlwm yog kev ua haujlwm muaj txiaj ntsig ntawm ntau zaus, nws qhov loj (tus nqi kiag li) sawv cev rau tus nqi ntawm qhov zaus tam sim no hauv thawj txoj haujlwm, thiab nws qhov kev sib cav yog theem offset ntawm qhov pib sinusoid hauv qhov zaus.
Puas yog Fourier coefficients?
1.1, av, ib, thiab bn yog lub npe hu ua Fourier coefficients thiab tuaj yeem pom los ntawm f(t). Lub sij hawm ω0 (los yog 2πT 2 π T) sawv cev rau lub hauv paus zaus ntawm lub sij hawm muaj nuj nqi f(t).
