Discrete time fourier series calculator

1. How do I find DTFS?
2. How is DFT calculated in FFT?

How do I find DTFS?

x[n]=∑N−1k=0Ck⋅ej2πkn/N⋯(1), which is called the Discrete Time Fourier series (DTFS). The frequency range of DT signals is unique over the interval (−π,π) or (0,2π) . A DT signal of fundamental period N can consist of frequency components separated by 2πN radians or f=1N cycles.

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.