Phase differences between DFT and FFT (in MatLab)

1. What is the main difference between DFT and FFT?
2. How to measure phase difference in Matlab?
3. What is phase DFT?
4. What is the difference between Fourier transform and discrete Fourier transform?

What is the main difference between DFT and FFT?

Discrete Fourier Transform (DFT) is the discrete version of the Fourier Transform (FT) that transforms a signal (or discrete sequence) from the time domain representation to its representation in the frequency domain. Whereas, Fast Fourier Transform (FFT) is any efficient algorithm for calculating the DFT.

How to measure phase difference in Matlab?

The present code is a Matlab function that provides a measurement of the phase difference between two signals. The measurement is based on Discrete Fourier Transform (DFT) and Maximum Likelihood (ML) estimation of the signals' initial phases. The method is highly noise resistive.

What is phase DFT?

The phase is the arctangent of the ratio of the imaginary and real parts and is usually between π and -π radians, or 180 and -180 degrees. For real signals (x[i] real), such as those you obtain from the output of one channel of a DAQ device, the DFT is symmetric with properties given by the following equations.

What is the difference between Fourier transform and discrete Fourier transform?

FFT is an implementation of the DFT used for used for fast computation of the DFT. In short, FFT can do everything a DFT does, but more efficiently and much faster than a DFT. It's an efficient way of computing the DFT.