Reconstructing Signal with Sinus-Waves

1. What is reconstruction in signal processing?
2. How reconstruction is done after sampling?
3. How can a composite signal be decomposed into its individual frequencies?
4. What is Fourier decomposition method?

What is reconstruction in signal processing?

Reconstruction is the process of creating an analog voltage (or current) from samples. A digital-to-analog converter takes a series of binary numbers and recreates the voltage (or current) levels that corresponds to that binary number. Then this signal is filtered by a lowpass filter.

How reconstruction is done after sampling?

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 can a composite signal be decomposed into its individual frequencies?

How can a composite signal be decomposed into its individual frequencies? Using Fourier analysis. Fourier series gives the frequency domain of a periodic signal; Fourier analysis gives the frequency domain of a nonperiodic signal.

What is Fourier decomposition method?

Fourier decomposition method (FDM) [25] is an adaptive non-stationary, non-linear signal decomposition method that decomposes a zero-mean signal into a set of Fourier intrinsic band functions (FIBFs) based on Fourier theory and Hilbert transform. Several limitations of the FDM have been identified.