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Sampling theory

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Sampling Theory states the following:

Given a properly band-limited signal x(t), we can recover x(t) from its discrete representation x[n] (digital samples) if x[n] was sampled at a sampling rate of at least twice the highest frequency present in x(t). Otherwise, aliasing occurs.

The perfect reconstruction of x(t) in the Sampling Theory assume 0 error due to quantization.

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