Fourier

The Fourier transform of a triangular window function

The Fourier transform of a triangular window function
  1. What is the Fourier transform of the triangle function?
  2. What is Bartlett window in DSP?
  3. What does inverse Fourier transform do?

What is the Fourier transform of the triangle function?

Therefore, the Fourier transform of the triangular pulse is, F[Δ(tτ)]=X(ω)=τ2⋅sinc2(ωτ4) Or, it can also be represented as, Δ(tτ)FT↔[τ2⋅sinc2(ωτ4)]

What is Bartlett window in DSP?

The Bartlett window is very similar to a triangular window as returned by the triang function. However, the Bartlett window always has zeros at the first and last samples, while the triangular window is nonzero at those points. For odd values of L , the center L-2 points of bartlett(L) are equivalent to triang(L-2) .

What does inverse Fourier transform do?

The inverse Fourier transform is a mathematical formula that converts a signal in the frequency domain ω to one in the time (or spatial) domain t.

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