What is the output of IFFT operations, continuous or discrete time?

1. Is Fourier series discrete or continuous?
2. Is Fourier transform continuous or discrete?
3. What is the output of discrete Fourier transform?
4. Is fast Fourier transform is continuous?

Is Fourier series discrete or continuous?

The discrete-time Fourier transform of a discrete sequence of real or complex numbers x[n], for all integers n, is a Fourier series, which produces a periodic function of a frequency variable.

Is Fourier transform continuous or discrete?

Fourier Transform (FT) and Inverse

Thus, the Fourier transform is defined for continuous time and continuous frequency, both unbounded. As a result, mathematical questions such as existence and invertibility are most difficult for this case.

What is the output of discrete Fourier transform?

From this input, the DFT produces 2 real values and 31 complex values, and the other 31 values returned by the DFT are just complex conjugates of the aforementioned complex values. If we look at the dimensions of the DFT result, we get 2+31*2 which is, again, 64 dimensions.

Is fast Fourier transform is continuous?

Fast Fourier Transform (FFT)

The FFT is a very efficient algorithm for calculating the DFT of a continuous signal and hence the name, Fast Fourier Transform.