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  1. Nyquist–Shannon sampling theorem - Wikipedia

    • The Nyquist–Shannon sampling theorem is an essential principle for digital signal processing linking the frequency range of a signal and the sample rate required to avoid a type of distortion called aliasing. The theorem states that the sample rate must be at least twice the bandwidth of the signal to avoid aliasing. In practice, it is used to select band-limiting filter… See more

    Introduction

    Sampling is a process of converting a signal (for example, a function of continuous time or space) into a sequence of values (a function of discrete time or space). Shannon's version of the theorem states:
    A sufficient sample-rate is therefore anyth…

    Aliasing

    When is a function with a Fourier transform :
    Then the samples, of are sufficient to create a periodic summation of (see Discrete-time_Fourier_transform#Relation_to_Fou…
    which is a periodic function and its equivalent representation as a Fourier ser…

    Table of Contents
     
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  2. Late great engineers: Claude Shannon - father of the …

    Jul 17, 2024 · Building on the work of other Bell Labs researchers (including Swedish-American physicist and electronic engineer Harry Nyquist), Shannon’s masterpiece established the basic results of information theory in such a …

     
  3. Harry Nyquist - Wikipedia

  4. Nyquist Sampling Theorem - Statement, Working, …

    Feb 27, 2024 · What is the Nyquist Sampling Theorem? It was given by Harry Nyquist Claude, Shannon of Bell Labs first provided the Nyquist-Shannon sampling theorem in the late 1940s. Harry expressed the Nyquist Sampling …

  5. The Nyquist-Shannon Sampling Theorem, Published Nine Years …

  6. Harry Nyquist | Pioneering Contributions to Information Theory

  7. Information theory - Wikipedia

  8. SHANNON, CLAUDE; NYQUIST, HARRY; …

    Shannon began here with a simple discrete source with independent identically distributed letters and a single-letter distortion measure, and gave a simple and detailed proof of the rate-distortion theorem.

  9. A Reminder: Pay Attention to Harry Nyquist and …

    Mar 23, 2021 · The actual answer is what Harry Nyquist and Claude Shannon said about maximum data rates over every channel, including that communications cable. Harry Nyquist noted, as has been thoroughly …

  10. Sampling Theory - Stanford University

  11. The Nyquist–Shannon Theorem: Understanding …

    May 6, 2020 · The Nyquist sampling theorem, or more accurately the Nyquist-Shannon theorem, is a fundamental theoretical principle that governs the design of mixed-signal electronic systems. Modern technology as we know it would …

  12. Historical Engineers: Harry Nyquist, a Trail Blazer in Digital ...

  13. The Nyquist-Shannon sampling theorem - Brian McFee

  14. Introduction to Nyquist’s Theorem - Rhea

  15. Nyquist-Shannon theorem – a milestone in digitisation - IMG …

  16. Information is surprise | plus.maths.org

  17. The Nyquist-Shannon Sampling Theorem - Ptolemy Project

  18. A Reminder: Pay Attention to Harry Nyquist and Claude Shannon

  19. Nyquist–Shannon sampling theorem - Wikiwand

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