How to reconstruct signal of its phase and magnitude functions?

1. How do you reconstruct a signal from its samples?
2. How do you find the magnitude and phase of a signal?
3. How do you find the phase and magnitude of a DFT?

How do you reconstruct a signal from its samples?

The reconstruction process consists of replacing each sample by a sinc function, centered at the time of the sample and scaled by the sample value x(nT) times 2f_c/ f_s and adding all the functions so created. Suppose the signal is sampled at exactly Nyquist rate f_s= 2f_m, Then f_m= f_s/2 = f_s- f_m and F_m= 1/2 = 1- F_m.

How do you find the magnitude and phase of a signal?

To obtain the amplitude response, we take the absolute value of H(jω). To do this, we evaluate the magnitude of the numerator and the denominator separately. To obtain the phase response, we take the arctan of the numerator, and subtract from it the arctan of the denominator.

How do you find the phase and magnitude of a DFT?

The graph of |X(f)| against frequency is known as the magnitude spectrum. The graph of arg X(f) against frequency is known as the phase spectrum. From a real signal at a sampling rate F_s, the DFT provides N harmonic amplitudes at frequencies from 0 to .