• Thumbnail for Nyquist–Shannon sampling theorem
    The NyquistShannon sampling theorem is an essential principle for digital signal processing linking the frequency range of a signal and the sample rate...
    51 KB (6,838 words) - 02:04, 23 June 2025
  • in the formulation of the NyquistShannon sampling theorem by Claude Shannon in 1949. It is also commonly called Shannon's interpolation formula and Whittaker's...
    6 KB (785 words) - 20:38, 15 February 2025
  • Thumbnail for Nyquist frequency
    Design. Cambridge University Press. ISBN 0-521-78175-2.{{cite book}}: CS1 maint: multiple names: authors list (link) NyquistShannon sampling theorem...
    7 KB (762 words) - 21:57, 6 April 2025
  • known as the NyquistShannon sampling theorem. Nyquist rate: sampling rate twice the bandwidth of the signal's waveform being sampled; sampling at a rate...
    9 KB (862 words) - 10:00, 4 September 2024
  • or 64QAM; however, the spectral efficiency improves. NyquistShannon sampling theorem Eb/N0 Nyquist, Harry (April 1928). "Certain topics in telegraph transmission...
    21 KB (3,087 words) - 20:03, 2 May 2025
  • Thumbnail for Nyquist rate
    function over the time interval T." Nyquist frequency Nyquist ISI criterion NyquistShannon sampling theorem Sampling (signal processing) The factor of...
    8 KB (990 words) - 17:21, 2 May 2025
  • can be exploited to recover it from far fewer samples than required by the NyquistShannon sampling theorem. There are two conditions under which recovery...
    46 KB (5,874 words) - 16:00, 4 May 2025
  • Thumbnail for Nyquist ISI criterion
    condition. The Nyquist criterion is closely related to the NyquistShannon sampling theorem, with only a differing point of view. If we denote the channel...
    5 KB (915 words) - 17:18, 2 May 2025
  • Nyquist–Shannon sampling theorem, fundamental result in the field of information theory Nyquist frequency, digital signal processing Nyquist rate, telecommunication...
    793 bytes (118 words) - 06:53, 18 March 2020
  • sampling theory may mean: NyquistShannon sampling theorem, digital signal processing (DSP) Statistical sampling Fourier sampling This disambiguation...
    189 bytes (48 words) - 00:44, 30 December 2019
  • NyquistShannon sampling theorem over the band of interest. Since the theorem states that unambiguous reconstruction of the signal from its samples is...
    10 KB (1,057 words) - 18:05, 25 July 2025
  • Nonuniform sampling is a branch of sampling theory involving results related to the NyquistShannon sampling theorem. Nonuniform sampling is based on Lagrange...
    6 KB (1,377 words) - 02:04, 7 August 2023
  • Thumbnail for Claude Shannon
    theorem NyquistShannon sampling theorem One-time pad Product cipher Pulse-code modulation Rate distortion theory Sampling Shannon capacity Shannon entropy...
    83 KB (8,334 words) - 21:33, 21 July 2025
  • Thumbnail for Analog-to-digital converter
    an ADC operates at a sampling rate greater than twice the bandwidth of the signal, then per the NyquistShannon sampling theorem, near-perfect reconstruction...
    48 KB (5,991 words) - 06:59, 6 July 2025
  • theorem provides conditions on the lattice under which perfect reconstruction is possible. As with the NyquistShannon sampling theorem, this theorem...
    16 KB (2,010 words) - 05:44, 12 July 2024
  • Thumbnail for Pulse-width modulation
    14, 2018). "Sampling: What Nyquist Didn't Say, and What to Do About It" (PDF). Wescott Design Services. The Nyquist-Shannon sampling theorem is useful,...
    29 KB (4,017 words) - 20:51, 8 June 2025
  • Thumbnail for Digital recording
    reconstructed, within the constraints of the NyquistShannon sampling theorem, which dictates the sampling rate and quantization error dependent on the...
    34 KB (3,979 words) - 13:42, 19 July 2025
  • Thumbnail for Sampling (signal processing)
    typically sampled at 44.1 kHz (CD), 48 kHz, 88.2 kHz, or 96 kHz. The approximately double-rate requirement is a consequence of the Nyquist theorem. Sampling rates...
    31 KB (3,139 words) - 11:47, 27 June 2025
  • Thumbnail for Aliasing
    density Spectral leakage Stroboscopic effect Wagon-wheel effect NyquistShannon sampling theorem § Critical frequency Mitchell, Don P.; Netravali, Arun N. (August...
    25 KB (2,770 words) - 11:10, 9 July 2025
  • Thumbnail for Digital-to-analog converter
    requirements of the NyquistShannon sampling theorem (i.e., a baseband signal with bandwidth less than the Nyquist frequency) and was sampled with infinite...
    21 KB (2,584 words) - 23:06, 5 April 2025
  • an example. The NyquistShannon sampling theorem states that a signal can be exactly reconstructed from its samples if the sampling frequency is greater...
    27 KB (2,991 words) - 17:50, 26 June 2025
  • on some equipment, but the benefits have been debated. The NyquistShannon sampling theorem shows PCM devices can operate without introducing distortions...
    35 KB (4,106 words) - 16:05, 28 June 2025
  • sample rate was based primarily on the need to reproduce the audible frequency range of 20–20,000 Hz (20 kHz). The NyquistShannon sampling theorem states...
    10 KB (1,386 words) - 12:51, 10 January 2025
  • (1994), doi:10.1063/1.357128 The factor of one half is explained by the NyquistShannon sampling theorem. Noise-equivalent temperature Specific detectivity...
    2 KB (320 words) - 06:41, 25 June 2025
  • Thumbnail for 48,000 Hz
    the NyquistShannon sampling theorem) — at least 40 kHz to roughly cover all human-audible frequencies without aliasing distortion. The sampling rates...
    6 KB (698 words) - 11:00, 12 July 2025
  • Raabe (1909–2004), German theorist, inventor and engineer, see NyquistShannon sampling theorem Joseph Ludwig Raabe (1801–1859), Swiss mathematician Max Raabe...
    2 KB (249 words) - 14:04, 8 May 2024
  • Orbit theorem (Nagano–Sussmann) (control theory) Kraft–McMillan theorem (coding theory) NyquistShannon sampling theorem (information theory) Shannon–Hartley...
    78 KB (6,296 words) - 20:31, 6 July 2025
  • Thumbnail for Digital audio
    Digital audio (redirect from Sampled audio)
    converted back to an analog signal with a DAC. According to the NyquistShannon sampling theorem, with some practical and theoretical restrictions, a band-limited...
    24 KB (2,810 words) - 08:53, 25 July 2025
  • Thumbnail for MP3
    bandwidth because of the NyquistShannon sampling theorem. Frequency reproduction is always strictly less than half of the sampling rate, and imperfect filters...
    108 KB (11,631 words) - 14:07, 25 July 2025
  • Thumbnail for Fourier analysis
    {\displaystyle P,} which is the frequency domain dual of the NyquistShannon sampling theorem. See Fourier series for more information, including the historical...
    38 KB (4,788 words) - 15:31, 27 April 2025