sampling theorem in a sentence

Examples

1. In his classic 1948 paper founding information theory, Claude Shannon offered the following generalization of the sampling theorem:
2. Unser Cited Cheung-Marks paper in the most important developments of the sampling theorem in the last 50 years.
3. MP3 files made with MPEG-2 don't have 20 kHz bandwidth because of the Nyquist Shannon sampling theorem.
4. According to the sampling theorem, it is possible to reconstruct x ( t ) \ completely and exactly using the samples
5. Somebody came in and added to this claim that the Nyquist Shannon sampling theorem is some kind of proof or confirmation.
6. In digital applications, the number of pixels per line is an arbitrary choice as long as it fulfils the sampling theorem.
7. The above is called the Paley Wiener Levinson theorem, which generalize WSK sampling theorem from uniform samples to non uniform samples.
8. Shannon used Nyquist's approach when he proved the sampling theorem in 1948, but Nyquist did not work on sampling per se.
9. The Nyquist sampling theorem says you need twice that for good reproduction-and you have two ears-so you need twice that.
10. The Nyquist-Shannon sampling theorem provides an important guideline as to how much digital data is needed to accurately portray a given analog signal.