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  2. Nyquist–Shannon sampling theorem - Wikipedia

    en.wikipedia.org/wiki/NyquistShannon_sampling...

    The NyquistShannon sampling theorem is a theorem in the field of signal processing which serves as a fundamental bridge between continuous-time signals and discrete-time signals. It establishes a sufficient condition for a sample rate that permits a discrete sequence of samples to capture all the information from a continuous-time signal of ...

  3. Nonuniform sampling - Wikipedia

    en.wikipedia.org/wiki/Nonuniform_sampling

    Nonuniform sampling is a branch of sampling theory involving results related to the NyquistShannon sampling theorem. Nonuniform sampling is based on Lagrange interpolation and the relationship between itself and the (uniform) sampling theorem. Nonuniform sampling is a generalisation of the Whittaker–Shannon–Kotelnikov (WSK) sampling theorem.

  4. Category:Mathematical theorems in theoretical computer ...

    en.wikipedia.org/wiki/Category:Mathematical...

    Download as PDF; Printable version; In other projects ... NyquistShannon sampling theorem; S. Schwartz–Zippel lemma; Shannon–Hartley theorem; Shannon's source ...

  5. Sampling theory - Wikipedia

    en.wikipedia.org/wiki/Sampling_theory

    Download as PDF; Printable version; In other projects ... move to sidebar hide. sampling theory may mean: NyquistShannon sampling theorem, digital signal ...

  6. Multidimensional sampling - Wikipedia

    en.wikipedia.org/wiki/Multidimensional_sampling

    As with the NyquistShannon sampling theorem, this theorem also assumes an idealization of any real-world situation, as it only applies to functions that are sampled over an infinitude of points. Perfect reconstruction is mathematically possible for the idealized model but only an approximation for real-world functions and sampling techniques ...

  7. Signal reconstruction - Wikipedia

    en.wikipedia.org/wiki/Signal_reconstruction

    Download as PDF; Printable version; In other projects Wikidata item; ... This fact that the dimensions have to agree is related to the NyquistShannon sampling theorem.

  8. Sampling (signal processing) - Wikipedia

    en.wikipedia.org/wiki/Sampling_(signal_processing)

    The approximately double-rate requirement is a consequence of the Nyquist theorem. Sampling rates higher than about 50 kHz to 60 kHz cannot supply more usable information for human listeners. Early professional audio equipment manufacturers chose sampling rates in the region of 40 to 50 kHz for this reason.

  9. Anti-aliasing filter - Wikipedia

    en.wikipedia.org/wiki/Anti-aliasing_filter

    An anti-aliasing filter (AAF) is a filter used before a signal sampler to restrict the bandwidth of a signal to satisfy the NyquistShannon sampling theorem over the band of interest. Since the theorem states that unambiguous reconstruction of the signal from its samples is possible when the power of frequencies above the Nyquist frequency is ...