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Sampling Variability - Definition, Condition and Examples - The Story of Mathematics - A History of Mathematical Thought from Ancient Times to the Modern Day

Bandpass sampling refers to sampling a signal that is known to lie in a restricted frequency range, for example, all frequencies in x(t) are between 7000 Hz and 8000 Hz. The usual sampling theorem requires fs > 116000 Hz because the reconstruction is performed with the lowest frequency possible. However, in this case, the available bandwidth of the signal is only 1000 Hz, so it turns out that x(t) can be sampled at fs = 2000 Hz and recovered perfectly from those samples because the frequency ran