Howtosignalprocessing
- What is the Fourier transform of the triangle function?
- What is the function of a triangular wave?
- What is the Fourier transform of a sinc function?
- Is triangular wave even function?
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 the function of a triangular wave?
The wave function of a triangular wave pulse is defined by the relation below at time t=0 sec. y=⎧⎪ ⎪ ⎪ ⎪⎨⎪ ⎪ ⎪ ⎪⎩mxfor 0≤x≤a2−m(x−a)for a2≤x≤a0every where else. The wave pulse is moving in the + X direction in a string having tension T and mass per unit lengh μ. The total kinetic energy present with the wave pulse is.
What is the Fourier transform of a sinc function?
The Fourier transform of the sinc function is a rectangle centered on ω = 0. This gives sinc(x) a special place in the realm of signal processing, because a rectangular shape in the frequency domain is the idealized “brick-wall” filter response.
Is triangular wave even function?
A triangular wave or triangle wave is a non-sinusoidal waveform named for its triangular shape. It is a periodic, piecewise linear, continuous real function. A bandlimited triangle wave pictured in the time domain (top) and frequency domain (bottom).
