How to find inverse discrete fourier transform

1. What is the formula for inverse discrete Fourier transform?
2. How do you find the discrete Fourier transform?
3. How is Idft calculated in FFT?
4. Can we use FFT for Idft?

What is the formula for inverse discrete Fourier transform?

The IDFT is defined as(11.4. 2)an≡1N∑m=1NAme2πin−1m−1N≡IDFTAmnfor n=1 to N.

How do you find the discrete Fourier transform?

The DFT formula for X k X_k Xk​ is simply that X k = x ⋅ v k , X_k = x \cdot v_k, Xk​=x⋅vk​, where x x x is the vector ( x 0 , x 1 , … , x N − 1 ) .

How is Idft calculated in FFT?

In the IDFT formula, we have two different multiplying factors. Thus if we multiply with a factor of 1/N and replace the twiddle factor with its complex conjugate in the DIF algorithm's butterfly structure, we can get the IDFT using the same method as the one we used to calculate FFT.

Can we use FFT for Idft?

The same FFT algorithm can be adapted in many ways to compute IDFT in a faster way.