Fourier transform waveform

Question

is this waveform correct for the Fourier transform of a triangle pulse?

Answer 1

Yes, it is a (shifted) cardinal sine ($\text{sinc}^2$) which is quite normal.

Indeed, a (non shifted) triangular pulse is the convolution of a window by itself. The Fourier transform of a window is a sinc. Therefore, as convolution is transformed into product by the Fourier Transform, we get the product of two "sinc"s, i.e. a $\text{sinc}^2$. The multiplication by the complex exponential accounts for a (temporal?) shift.