DBpedia – Linked Data Fragments

Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Nyquist–Shannon_sampling_theorem> ?p ?o }

• Nyquist–Shannon_sampling_theorem abstract "In the field of digital signal processing, the sampling theorem is a fundamental bridge between continuous-time signals (often called "analog signals") and discrete-time signals (often called "digital 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 finite bandwidth.Strictly speaking, the theorem only applies to a class of mathematical functions having a Fourier transform that is zero outside of a finite region of frequencies (see Fig 1). Intuitively we expect that when one reduces a continuous function to a discrete sequence and interpolates back to a continuous function, the fidelity of the result depends on the density (or sample rate) of the original samples. The sampling theorem introduces the concept of a sample rate that is sufficient for perfect fidelity for the class of functions that are bandlimited to a given bandwidth, such that no actual information is lost in the sampling process. It expresses the sufficient sample rate in terms of the bandwidth for the class of functions. The theorem also leads to a formula for perfectly reconstructing the original continuous-time function from the samples.Perfect reconstruction may still be possible when the sample-rate criterion is not satisfied, provided other constraints on the signal are known. (See § Sampling of non-baseband signals below, and Compressed sensing.)In some cases (when the sample-rate criterion is not satisfied), utilizing additional constraints allows for approximate reconstructions. The fidelity of these reconstructions can be verified and quantified utilizing Bochner's theorem.The name Nyquist–Shannon sampling theorem honors Harry Nyquist and Claude Shannon. The theorem was also discovered independently by E. T. Whittaker, by Vladimir Kotelnikov, and by others. It is thus also known by the names Nyquist–Shannon–Kotelnikov, Whittaker–Shannon–Kotelnikov, Whittaker–Nyquist–Kotelnikov–Shannon, and cardinal theorem of interpolation.".
• Nyquist–Shannon_sampling_theorem thumbnail Bandlimited.svg?width=300.
• Nyquist–Shannon_sampling_theorem wikiPageExternalLink pg=717.
• Nyquist–Shannon_sampling_theorem wikiPageExternalLink unser0001.html.
• Nyquist–Shannon_sampling_theorem wikiPageExternalLink books?id=Sp7O4bocjPAC.
• Nyquist–Shannon_sampling_theorem wikiPageExternalLink 1.pdf.
• Nyquist–Shannon_sampling_theorem wikiPageExternalLink login.jsp?tp=&arnumber=5699377&url=http%3A%2F%2Fieeexplore.ieee.org%2Fxpls%2Fabs_all.jsp%3Farnumber%3D5699377.
• Nyquist–Shannon_sampling_theorem wikiPageExternalLink 1993_AdvancedTopicsOnShannon.pdf.
• Nyquist–Shannon_sampling_theorem wikiPageExternalLink 1999_IntroductionToShannonSamplingAndInterpolationTheory.pdf.
• Nyquist–Shannon_sampling_theorem wikiPageExternalLink 0157.html.
• Nyquist–Shannon_sampling_theorem wikiPageExternalLink 0182.html.
• Nyquist–Shannon_sampling_theorem wikiPageExternalLink UndersamplingARnv.htm.
• Nyquist–Shannon_sampling_theorem wikiPageExternalLink Sampling_Theory.pdf.
• Nyquist–Shannon_sampling_theorem wikiPageExternalLink sampling_theorem.
• Nyquist–Shannon_sampling_theorem wikiPageExternalLink G99_e.html.
• Nyquist–Shannon_sampling_theorem wikiPageExternalLink nyquist.pdf.
• Nyquist–Shannon_sampling_theorem wikiPageExternalLink shannonpaper.pdf.
• Nyquist–Shannon_sampling_theorem wikiPageExternalLink www.stsip.org.
• Nyquist–Shannon_sampling_theorem wikiPageExternalLink simusoft_nykvist.html.
• Nyquist–Shannon_sampling_theorem wikiPageID "37864".
• Nyquist–Shannon_sampling_theorem wikiPageLength "41045".
• Nyquist–Shannon_sampling_theorem wikiPageOutDegree "116".
• Nyquist–Shannon_sampling_theorem wikiPageRevisionID "682438869".
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Aliasing.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Anti-aliasing_filter.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Balian–Low_theorem.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Band-pass_filter.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Bandlimited.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Bandlimiting.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Bandpass_filter.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Baseband.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Bell_Labs.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Brick-wall_filter.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Category:Articles_containing_proofs.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Category:Claude_Shannon.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Category:Digital_signal_processing.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Category:Information_theory.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Category:Mathematical_theorems_in_theoretical_computer_science.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Category:Telecommunication_theory.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Category:Theorems_in_Fourier_analysis.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Cheung–Marks_theorem.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Claude_E._Shannon.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Claude_Shannon.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Compressed_sensing.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Continuous-time_signal.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Continuous_Fourier_transform.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Continuous_signal.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Convex_optimization.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Decimation_(signal_processing).
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Dennis_Gabor.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Digital-to-analog_converter.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Digital_signal_processing.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Dirac_comb.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Dirac_delta.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Dirac_delta_function.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Discrete-time_Fourier_transform.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Discrete-time_signal.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Downsampling.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Duality_(mathematics).
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink E._T._Whittaker.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Eduard_Rhein_Foundation.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink FM_broadcasting.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Fourier_series.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Fourier_transform.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Function_(mathematics).
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Harold_Stephen_Black.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Harry_Nyquist.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Hartleys_law.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Henry_Landau.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Hertz.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Image_sensor.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Interpolates.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Interpolation.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink J._M._Whittaker.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink John_Macnaghten_Whittaker.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Karl_Küpfmüller.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Low-pass_filter.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Low_pass_filter.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Lowpass_filter.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Mathematical_function.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Megahertz.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Moiré_pattern.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Necessary_and_sufficient_condition.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Necessity_and_sufficiency.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Nonuniform_sampling.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Numerical_stability.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Nyquist_ISI_criterion.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Nyquist_frequency.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Nyquist_rate.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Nyquist–Shannon_sampling_theorem.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink OED.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Oxford_English_Dictionary.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Periodic_summation.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Piecewise-constant.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Pixel.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Point_spread_function.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Poisson_summation_formula.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Reconstruction_from_zero_crossings.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Rectangular_function.
• Nyquist–Shannon_sampling_theorem wikiPageWikiLink Sample_rate.

• next