Kyauta ne, babu asusu

Kalkuleta na jerin Fourier

Ƙididdigar ainihin jerin Fourier daga samfurori masu sarari iri ɗaya a cikin lokaci ɗaya. Zaɓi adadin haɗin kai nawa don kiyayewa, bincika ƙayyadaddun ƙididdiga, kuma kwatanta lanƙwan da aka sake ginawa tare da samfuran ku.

Shigar da 4-128 daidai gwargwado samfurin dabi'u, ɗaya a kowane layi ko kuma ya rabu da ƙananan ƙananan. Kar a maimaita ƙarshen ƙarshen.

Yi amfani da daidaitaccen lokaci guda. Mitar ita ce madaidaicin wannan lokacin kuma ana nunawa ta kowane raka'a.

Iyaka ya dogara da adadin samfuran don gujewa wuce iyakar mitar mai amfani.

Wannan ƙayyadaddun ƙayyadaddun misali ne, ba mai nazarin sauti ba. Ƙarin samfurori da haɗin kai na iya inganta alamar sigina mai santsi; Katsewa na iya nuna girman girman Gibbs. Sakamakon ya dogara ne akan samfurin uniform da kuma lokacin da aka zaɓa daidai.

Jerin Fourier na gaske: DC = (1/N)Σxⱼ; aₙ = (2/N)Σxⱼcos(2πnj/N); bₙ = (2/N)Σxⱼsin(2πnj/N); f(t) = DC + Σ[aₙcos(2πnt/T) + bₙsin(2πnt/T)], 0 ≤ t < T.

Ta yaya wannan jerin kalkuleta na Fourier ke aiki?

Shigar da 4-128 daidai waɗancan dabi'u masu tazara don cikakken lokaci ɗaya, tsayin lokaci, da ƙidaya masu jituwa. Kalkuleta yana ƙididdige ƙididdige ƙididdiga na ainihi na Fourier tare da takamaiman jimla kuma yana sake gina siginar daga zaɓaɓɓun masu jituwa.

Tambayoyin da ake yawan yi

Ta yaya wannan jerin kalkuleta na Fourier ke aiki?

Shigar da 4-128 daidai waɗancan dabi'u masu tazara don cikakken lokaci ɗaya, tsayin lokaci, da ƙidaya masu jituwa. Kalkuleta yana ƙididdige ƙididdige ƙididdiga na ainihi na Fourier tare da takamaiman jimla kuma yana sake gina siginar daga zaɓaɓɓun masu jituwa.

Ana loda samfurana?

A'a. Lissafi da ginshiƙi suna gudana a cikin wannan burauzar. Ba a loda samfuran ku ko adana su ta wannan kayan aikin.

Menene bangaren DC yake nufi?

Matsakaicin ƙimar duk samfurori ne a cikin lokaci ɗaya. Don haka shigarwar akai-akai yana da DC kawai, tare da duk mafi girman ƙididdiga daidai da sifili tsakanin juriyar juriya.

Samfura da jituwa nawa zan yi amfani da su?

Yi amfani da isassun samfuran uniform don wakiltar tsarin igiyar ruwa. Kalkuleta yana iyakance ƙididdigar jituwa zuwa kewayon amfani da waɗannan samfuran; ƙarin jituwa na iya ɗaukar sauye-sauye masu kaifi amma yana iya haifar da wuce gona da iri kusa da tsalle.

Me yasa layin da aka sake gina zai iya wuce gona da iri kusa da tsalle?

Jerin da aka yanke na Fourier zai iya nuna motsin Gibbs a kusa da yankewa. Ƙara ƙidayar jituwa yana ƙunsar yankin da abin ya shafa amma baya cire abin da ya wuce gona da iri gaba ɗaya.