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The Nyquist frequency, named after Harry Nyquist or the Nyquist–Shannon sampling theorem, is half the sampling frequency of a discrete signal processing system. It is sometimes called the critical frequency. The sampling theorem tells us that aliasing can be avoided if the Nyquist frequency is greater than the bandwidth, or maximum frequency, of the signal being sampled. Harry Nyquist (February 7, 1889 - April 4, 1976) was an important contributor to information theory. ...
The Nyquist–Shannon sampling theorem is a fundamental result in the field of information theory, in particular telecommunications and signal processing. ...
The sampling frequency or sampling rate defines the number of samples per second taken from a continuous signal to make a discrete signal. ...
A discrete signal is a signal that has been sampled from a continuous signal. ...
On statistics, signal processing, and related disciplines, aliasing is an effect that causes different continuous signals to become indistinguishable (or aliases of one another) when sampled. ...
This article or section does not cite its references or sources. ...
In principle, a Nyquist frequency just larger than the signal bandwidth is sufficient to allow perfect reconstruction of the signal from the samples. However, this reconstruction requires an unrealizable filter that passes some frequencies unchanged while suppressing all others completely (commonly called a brickwall filter). When realizable filters are used, some degree of oversampling is necessary to accommodate the practical constraints on anti-aliasing filters. That is, frequencies close to the Nyquist frequency may be distorted in the sampling and reconstruction process, so the bandwidth should be kept below the Nyquist frequency by some margin that depends on the actual filters used. In signal processing, oversampling is the process of sampling a signal with a sampling frequency significantly higher than twice the bandwidth or highest frequency of the signal being sampled. ...
An anti-aliasing filter is commonly used in conjuction with digital signal processing and is a filter to restrict the bandwidth to approximately satisfy the Shannon-Nyquist sampling theorem. ...
For example, audio CDs have a sampling frequency of 44,100 Hz. The Nyquist frequency is therefore 22,050 Hz, which is an upper bound on the highest frequency the data can unambiguously represent. If the chosen anti-aliasing filter (a low-pass filter in this case) has a transition band of 2,000 Hz, then the cut-off frequency should be no higher than 20,050 Hz to yield a signal with negligible power at frequencies of 22,050 Hz and greater. This article or section does not cite its references or sources. ...
The hertz (symbol: Hz) is the SI unit of frequency. ...
A low-pass filter is a filter that passes low frequencies well, but attenuates (or reduces) frequencies higher than the cutoff frequency. ...
The transition band is a range of frequencies, usually defined as a bandwidth, that allows the transition from one stage of an electronic filter to the other. ...
In telecommunications, the term cutoff frequency fc has the following meanings: 1. ...
It should be noted that the Nyquist frequency must be strictly greater than the maximum frequency component within the signal. If the signal contains a frequency component at precisely the Nyquist frequency then the corresponding component of the sample values can not have sufficient information to reconstruct the Nyquist component in the continuous-time signal because of phase ambiguity. In such a case, there would be an infinite number of possible and different sinusoids (of varying amplitude and phase) of the Nyquist frequency component that are represented by the discrete samples. Continuous time occurs when time is sampled continuously. ...
The Nyquist frequency is defined differently from the Nyquist rate, which is the minimum sampling frequency that meets the Nyquist sampling criterion for a given signal or family of signals. Nyquist rate, as commonly used with respect to sampling, is a property of a signal, not of a system. The sampling frequency or sampling rate defines the number of samples per second taken from a continuous signal to make a discrete signal. ...
Reference
Obscure government publications using the term Nyquist Frequency as early as 1961[1] are all consistent with the definition presented in this article. Some later publications, including some respectable textbooks, call the signal bandwidth the Nyquist frequency; still others refer to the Nyquist rate (twice the signal bandwidth) as Nyquist frequency; these are distinctly minority usages. The premises of the Royal Society in London (first four properties only). ...
OED stands for Oxford English Dictionary Office of Enrollment & Discipline This page concerning a three-letter acronym or abbreviation is a disambiguation page — a navigational aid which lists other pages that might otherwise share the same title. ...
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