Discrete time fourier transform calculator

1. How do you find the discrete-time in Fourier transform?
2. What is the formula for DFT?
3. How is DFT calculated in FFT?

How do you find the discrete-time in Fourier transform?

Find the DTFT of the sequence x(n)=u(n−k). ⇒F[u(n−k)]=e−jωk+e−jω(k+1)+e−jω(k+2)+... ⇒F[u(n−k)]=e−jωk(1+e−jω+e−j2ω+e−j3ω+...)

What is the formula for DFT?

xn=N1k=0∑N−1Xke2πikn/N. The DFT is useful in many applications, including the simple signal spectral analysis outlined above.

How is DFT calculated in FFT?

fft , with a single input argument, x , computes the DFT of the input vector or matrix. If x is a vector, fft computes the DFT of the vector; if x is a rectangular array, fft computes the DFT of each array column. Compute the DFT of the signal and the magnitude and phase of the transformed sequence.