sampling theorem in a sentence

Examples

1. Despite images having these problems in relation to the sampling theorem, the theorem can be used to describe the basics of down and up sampling of images.
2. Since then, there has been a surge of interest in extending Shannon's sampling theorem for signals which are band-limited in the Fractional Fourier domain.
3. Bandwidth typically refers to baseband bandwidth in the context of, for example, the sampling theorem and Nyquist symbol rate or Shannon-Hartley channel capacity for communication systems.
4. The Nyquist Shannon sampling theorem states that a signal can be exactly reconstructed from its samples if the sampling frequency is greater than twice the highest frequency of the signal.
5. And still another functional decomposition could be made in terms of Sinc functions and Airy functions, as in the Whittaker Shannon interpolation formula and the Nyquist Shannon sampling theorem.
6. Discrete cosine waveform with frequency of 50 Hz and a sampling rate of 1000 samples / sec, easily satisfying the sampling theorem for reconstruction of the original cosine function from samples.
7. The sampling theorem assumes ideal filters, however, which cannot exist in reality, so practical sampling uses " guard bands " ( higher than necessary sample rates ) to reduce aliasing.
8. Read sampling rate and discrete-time signal and sampling theorem and such, and tell us what you meant to write about that's not already covered in one of those.
9. In the sampling theorem, the uncertainty of the interpolation as measured by noise variance is the same as the uncertainty of the sample data when the noise is i . i . d.
10. Such a process would require a sufficient number of samples to satisfy the Nyquist sampling theorem; this is many more observations than are needed to approximately reconstruct the brightness distribution of the source.