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Gilles
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I was watching a youtube videoa youtube video for the duality property for continuous time Fourier transforms, which shows that if Fourier transform of $x(t)$ is $X(\omega)$ then Fourier transform of $X(t)$ is $2\pi x(-\omega)$

Then how will duality look like in the case of the DFT?

Will it look like below?

If DFT of $x[n]$ is $X[k]$

then DFT of $X[n]$ is $2\pi x[-k]$

Link of the youtube video: https://www.youtube.com/watch?v=9OK_i-n8gN8

If DFT of $x[n]$ is $X[k]$ then DFT of $X[n]$ is $2\pi x[-k]$

I was watching a youtube video for the duality property for continuous time Fourier transforms, which shows that if Fourier transform of $x(t)$ is $X(\omega)$ then Fourier transform of $X(t)$ is $2\pi x(-\omega)$

Then how will duality look like in the case of the DFT?

Will it look like below?

If DFT of $x[n]$ is $X[k]$

then DFT of $X[n]$ is $2\pi x[-k]$

Link of the youtube video: https://www.youtube.com/watch?v=9OK_i-n8gN8

I was watching a youtube video for the duality property for continuous time Fourier transforms, which shows that if Fourier transform of $x(t)$ is $X(\omega)$ then Fourier transform of $X(t)$ is $2\pi x(-\omega)$

Then how will duality look like in the case of the DFT?

Will it look like below?

If DFT of $x[n]$ is $X[k]$ then DFT of $X[n]$ is $2\pi x[-k]$

Duality propertyProperty for DFT?

I was watching a youtube video for the duality property for continuous time fourierFourier transforms, which shows that if Fourier transform of $x(t)$ is $X(\omega)$ then Fourier transform of $X(t)$ is $2\pi x(-\omega)$

Then how will duality look like in the case of the DFT?

Will it look like below?

If DFT of $x[n]$ is $X[k]$

then DFT of $X[n]$ is $2\pi x[-k]$

Link of the youtube video: https://www.youtube.com/watch?v=9OK_i-n8gN8

Duality property for DFT?

I was watching a youtube video for the duality property for continuous time fourier transforms, which shows that if Fourier transform of $x(t)$ is $X(\omega)$ then Fourier transform of $X(t)$ is $2\pi x(-\omega)$

Then how will duality look like in the case of the DFT?

Will it look like below?

If DFT of $x[n]$ is $X[k]$

then DFT of $X[n]$ is $2\pi x[-k]$

Link of the youtube video: https://www.youtube.com/watch?v=9OK_i-n8gN8

Duality Property for DFT

I was watching a youtube video for the duality property for continuous time Fourier transforms, which shows that if Fourier transform of $x(t)$ is $X(\omega)$ then Fourier transform of $X(t)$ is $2\pi x(-\omega)$

Then how will duality look like in the case of the DFT?

Will it look like below?

If DFT of $x[n]$ is $X[k]$

then DFT of $X[n]$ is $2\pi x[-k]$

Link of the youtube video: https://www.youtube.com/watch?v=9OK_i-n8gN8

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I was watching a youtube video for the duality property for continuous time fourier transforms, which shows that if Fourier transform of $x(t)$ is $X(w)$$X(\omega)$ then Fourier transform of $X(t)$ is $2\pi x(-w)$$2\pi x(-\omega)$

Then how will duality look like in the case of the DFT?

Will it look like below?

If DFT of $x(n)$$x[n]$ is $X(k)$$X[k]$

then DFT of $X(n)$$X[n]$ is $2\pi x(-k)$$2\pi x[-k]$

Link of the youtube video: https://www.youtube.com/watch?v=9OK_i-n8gN8

I was watching a youtube video for the duality property for continuous time fourier transforms, which shows that if Fourier transform of $x(t)$ is $X(w)$ then Fourier transform of $X(t)$ is $2\pi x(-w)$

Then how will duality look like in the case of the DFT?

Will it look like below?

If DFT of $x(n)$ is $X(k)$

then DFT of $X(n)$ is $2\pi x(-k)$

Link of the youtube video: https://www.youtube.com/watch?v=9OK_i-n8gN8

I was watching a youtube video for the duality property for continuous time fourier transforms, which shows that if Fourier transform of $x(t)$ is $X(\omega)$ then Fourier transform of $X(t)$ is $2\pi x(-\omega)$

Then how will duality look like in the case of the DFT?

Will it look like below?

If DFT of $x[n]$ is $X[k]$

then DFT of $X[n]$ is $2\pi x[-k]$

Link of the youtube video: https://www.youtube.com/watch?v=9OK_i-n8gN8

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DSP_CS
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