- #1
kaniello
- 21
- 0
Hi,
I am a neophyte in Discrete Fourier Transform and I am procticing with discrete Sine-transform.
Specifically I want to calculate $$ \mathcal{F}_s \lbrace x \cdot e^{-x^2} \rbrace = \int\limits_{0}^{\infty } x \cdot e^{-x^2} \cdot \sin\left(x\right)\, \mathrm{d}x
= \frac{1}{2} \pi^2 \omega e^{- \frac{1}{4} \pi^2 \omega^2} $$
I am using the FFTw library and with a 64 points I get a very poor result. Can anybody please help to improve it?
This is my C++ code, plot and numerical data are attached.
Thank you very much in advance
I am a neophyte in Discrete Fourier Transform and I am procticing with discrete Sine-transform.
Specifically I want to calculate $$ \mathcal{F}_s \lbrace x \cdot e^{-x^2} \rbrace = \int\limits_{0}^{\infty } x \cdot e^{-x^2} \cdot \sin\left(x\right)\, \mathrm{d}x
= \frac{1}{2} \pi^2 \omega e^{- \frac{1}{4} \pi^2 \omega^2} $$
I am using the FFTw library and with a 64 points I get a very poor result. Can anybody please help to improve it?
This is my C++ code, plot and numerical data are attached.
Thank you very much in advance
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