Fft matlab

1. What does FFT do in Matlab?
2. How to implement FFT in Matlab?
3. What is the FFT used for?
4. What is the output of FFT in Matlab?

What does FFT do in Matlab?

The fft function in MATLAB® uses a fast Fourier transform algorithm to compute the Fourier transform of data. Consider a sinusoidal signal x that is a function of time t with frequency components of 15 Hz and 20 Hz. Use a time vector sampled in increments of 1/50 seconds over a period of 10 seconds.

How to implement FFT in Matlab?

Y = fft( X , n ) returns the n -point DFT. If no value is specified, Y is the same size as X . If X is a vector and the length of X is less than n , then X is padded with trailing zeros to length n . If X is a vector and the length of X is greater than n , then X is truncated to length n .

What is the FFT used for?

The FFT is used to process data throughout today's highly networked, digital world. It allows computers to efficiently calculate the different frequency components in time-varying signals—and also to reconstruct such signals from a set of frequency components.

What is the output of FFT in Matlab?

The Discrete Fourier Transform, which an FFT algorithm computes quickly, assumes the input data of length N is one period of a periodic signal. The period is 2*pi rad . The frequency of the output points is given by 2*n*pi/N rad/sec , where n is the index from 0 to N-1 .