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Ponimban Fourier

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Ponimban Fourier nopo nga' iso ponimban donsompuu (integral transform) it ogumu kopio ampos toi kounalan id mogikaakawo gana' lobi po id pongumbangan pandu dontuntuu (digital signal processing).

Ponimban diti poposimban do pandu mantad raung hiza (time domain) kumaa raung sinaru (frequency domain).

Montok iso pampos ii kotuluk do nunung Dirichlet (Dirichlet conditions), ii sinimban Fourier nopo dau nga' om ponimban Fourier do tu' osimban no raung hingkaa . Id siriba no ii govit pongomoi do ponimban Fourier:

om ponimban sambalik dau nopo,

It ponimban Fourier nopo okito saagal do koromigan do rayat Fourier, id saau nopo it govit do koponutunan (representation) isoiso pampos id ngaan di tongo pamagat Fourier, .

Soroho andasan gia di vaza pongomoi[1] ii pampos nopo nga' pampos osompuu don Riemann (Riemann-integrable) om pampos osikap kumuri. Id sinalom diti komoon do pampos osikap kumuri nopo nga' nunu ii kotuluk:

Ingkaa no bahazan[2] timpou do ponimban Fourier kaanu popouhan do pongihiman ponimban Fourier do nunu pampos tosudong:

Tinulid (Linearity)

[simbanai | simbanai toud]

Insir hiza (Time shifting)

[simbanai | simbanai toud]

Insir sinaru (Frequency shifting)

[simbanai | simbanai toud]

Panganatan hiza (Time scaling)

[simbanai | simbanai toud]

Pinili pakayaan doid bahazan pomolik hiza:

  1. https://ncatlab.org/nlab/show/Fourier+transform
  2. https://math.libretexts.org/Bookshelves/Differential_Equations/Introduction_to_Partial_Differential_Equations_(Herman)/09%3A_Transform_Techniques_in_Physics/9.05%3A_Properties_of_the_Fourier_Transform