DTFT frequency range

1. What is the possible range of frequency spectrum for DTFT?
2. What are the frequencies in DFT?
3. What is the frequency range of FFT?
4. How do I get DFT frequencies?

What is the possible range of frequency spectrum for DTFT?

Ω=2πf is the angular frequency continuous-time Fourier Transform of x(t). Hence the range of |ω| should lie between 0 through π. Given that the spectrum of a discrete time signal repeats every 2π radians, we should see this spectrum replicated from 0 to π, 2π to 3π, 4π to 5π and so on.

What are the frequencies in DFT?

The set of frequency samples which define the spectrum X(k), are given on a frequency axis whose discrete frequency locations are given by Equation 2.63 where k = 0, 1,…., N−1. The frequency resolution of the DFT is equal to the frequency increment F/N and is referred to as the bin spacing of the DFT outputs.

What is the frequency range of FFT?

The output of the generic FFT normally used in programming is 0-22khz for a 44.1 sample and 0-24khz for a 48khz input.

How do I get DFT frequencies?

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.