Whittaker--Shannon sampling theorem

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Whittaker--Shannon sampling theorem

A Whittaker-Shannon-Kotel'nikov sampling theorem related to the Dunkl transform on the real line is proved. To this end we state, in terms of Bessel functions, an ... ,As stated earlier, Shannon showed the importance of the sampling theorem to communication theory in his 1948 paper, in which he cited Whittaker's 1915 paper. ,The theorem was also discovered independently by E. T. Whittaker and by others. It is thus also known by the names Nyquist–Shannon–Kotelnikov, ... ,The theorem was also discovered independently by E. T. Whittaker and by others. It is thus also known by the names Nyquist–Shannon–Kotelnikov, Whittaker– ... ,For a finite object of width xL the Whittaker–Shannon sampling theorem demands a sampling rate of at least νs = 1/xL for the frequency spectrum. The signal interpolation based on a truncated set of samples provides only the low spatial frequency estimate , The theorem is also associated with the names of E.T. Whittaker, K. Ogura, V.A. Kotel'nikov, H.P. Raabe, and I. Someya. Band-limited signals ...,framework for information theory, Shannon used the Sampling Theorem to ... Whittaker, a son of E. T. Whittaker), Shannon was the mapping from the space of ... ,tion theory, more precisely with Shannon's second or sampling theorem. Sometimes known as the Whittaker-Kotel'nikov-Shannon theorem, it is a cornerstone of ... , ,When the sampled function has a bandlimit, B, less than the Nyquist frequency, x(t) is a perfect reconstruction of the original function. (See Sampling theorem.) ...

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Whittaker--Shannon sampling theorem 相關參考資料
A WHITTAKER-SHANNON-KOTEL'NIKOV SAMPLING ...

A Whittaker-Shannon-Kotel'nikov sampling theorem related to the Dunkl transform on the real line is proved. To this end we state, in terms of Bessel functions, an ...

http://www.unirioja.es

Lecture 18 The Sampling Theorem - Waterloo Fractal ...

As stated earlier, Shannon showed the importance of the sampling theorem to communication theory in his 1948 paper, in which he cited Whittaker's 1915 paper.

http://links.uwaterloo.ca

Nyquist–Shannon sampling theorem - Wikipedia

The theorem was also discovered independently by E. T. Whittaker and by others. It is thus also known by the names Nyquist–Shannon–Kotelnikov, ...

https://en.wikipedia.org

Nyquist–Shannon sampling theorem - Wikiwand

The theorem was also discovered independently by E. T. Whittaker and by others. It is thus also known by the names Nyquist–Shannon–Kotelnikov, Whittaker– ...

https://www.wikiwand.com

Shannon Sampling Theorem - an overview | ScienceDirect ...

For a finite object of width xL the Whittaker–Shannon sampling theorem demands a sampling rate of at least νs = 1/xL for the frequency spectrum. The signal interpolation based on a truncated set of sa...

https://www.sciencedirect.com

Shannon sampling theorem - Encyclopedia of Mathematics

The theorem is also associated with the names of E.T. Whittaker, K. Ogura, V.A. Kotel'nikov, H.P. Raabe, and I. Someya. Band-limited signals ...

https://www.encyclopediaofmath

Shannon's Sampling Theorem - jstor

framework for information theory, Shannon used the Sampling Theorem to ... Whittaker, a son of E. T. Whittaker), Shannon was the mapping from the space of ...

https://www.jstor.org

Shannon's sampling theorem, incongruent residue ... - Numdam

tion theory, more precisely with Shannon's second or sampling theorem. Sometimes known as the Whittaker-Kotel'nikov-Shannon theorem, it is a cornerstone of ...

http://www.numdam.org

The Whittaker-Shannon sampling theorem for experimental ...

https://www.tandfonline.com

Whittaker–Shannon interpolation formula - Wikipedia

When the sampled function has a bandlimit, B, less than the Nyquist frequency, x(t) is a perfect reconstruction of the original function. (See Sampling theorem.) ...

https://en.wikipedia.org