DFT and then IDFT does not provide the same signal

1. Is the result from DFT and FFT same?
2. What is DFT and IDFT in DSP?
3. What is DFT and inverse DFT?
4. Can we use FFT for Idft?

Is the result from DFT and FFT same?

The Fast Fourier Transform (FFT) is an implementation of the DFT which produces almost the same results as the DFT, but it is incredibly more efficient and much faster which often reduces the computation time significantly. It is just a computational algorithm used for fast and efficient computation of the DFT.

What is DFT and IDFT in DSP?

The DFT allows one to convert a set of digital time samples to its frequency domain representation. In contrast, the IDFT can be used to invert the DFT samples, allowing one to reconstruct the signal samples x(k) directly from its frequency domain form, X(m).

What is DFT and inverse DFT?

The discrete Fourier transform is an invertible, linear transformation. with denoting the set of complex numbers. Its inverse is known as Inverse Discrete Fourier Transform (IDFT). In other words, for any , an N-dimensional complex vector has a DFT and an IDFT which are in turn. -dimensional complex vectors.

Can we use FFT for Idft?

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