Sampling, Reconstruction of Samples from spectrum.

Cuthbert Nyack
Since the spectrum of a sampled sine contains frequencies at w, nws ± w, then the sampled signal can be reconstructed by adding up the frequencies in the spectrum as shown by the following equation.

The applet below shows how the the reconstructed signal changes as the parameter N in the above equation is varied. The sine signal is in gray, its samples in magenta and the reconstructed signal in red.

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© 2000 Cuthbert A. Nyack.