How to change fundamental frequency with DFT?

1. What is fundamental frequency DFT?
2. How do you calculate DFT frequency?
3. What happens if we apply DFT twice to a signal?
4. Is DFT faster than FFT?

What is fundamental frequency DFT?

For the DFT and Fourier series, only a discrete set of frequencies are used. The discrete frequencies are all a multiple of a specific frequency, denoted ω0, called the fundamental frequency. The variable k is used to specify the particular multiple of the fundamental frequency.

How do you calculate DFT frequency?

calculate the magnitude of each DFT output bin: magnitude = sqrt(re*re+im*im) find the bin with the largest magnitude, call its index i_max . calculate the equivalent frequency of this bin: freq = i_max * Fs / N , here Fs = sample rate (Hz) and N = no of points in FFT.

What happens if we apply DFT twice to a signal?

Applying the DFT twice results in a scaled, time reversed version of the original series. The transform of a constant function is a DC value only.

Is DFT faster than FFT?

Graphical explanation for the speed of the Fast Fourier Transform. For a sample set of 1024 values, the FFT is 102.4 times faster than the discrete Fourier transform (DFT). The basis for this remarkable speed advantage is the `bit-reversal' scheme of the Cooley-Tukey algorithm.