Examples of using Nyquist in English and their translations into Serbian
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Nyquist emigrated to the United States in 1907.
Sampling below the Nyquist rate under additional restrictions.
According to the OED, this may be the origin of the term Nyquist rate.
See Sampling(signal processing), Nyquist rate(relative to sampling), and Filter bank.
All meaningful frequency components of the properly sampled x(t)exist below the Nyquist frequency.
Exactly how, when, orwhy Harry Nyquist had his name attached to the sampling theorem remains obscure.
Nyquist lived in Pharr, Texas after his retirement, and died in Harlingen, Texas on April 4, 1976.
The condition described by these inequalities is called the Nyquist criterion, or sometimes the Raabe condition.
The Nyquist stability criterion can now be found in all textbooks on feedback control theory.
However, if further restrictions are imposed on the signal,then the Nyquist criterion may no longer be a necessary condition.
Nyquist- Shannon sampling theorem Whittaker- Shannon interpolation formula Aliasing Reconstruction of multidimensional signals.
To prevent this, an anti-aliasing filter is used to remove components above the Nyquist frequency prior to sampling.
Well, um, I've become friends with Ursula Nyquist, and she's really counting on this movie and her big scene, which has been cut.
In some conditions, less than a nanosecond of jitter can reduce the effective bit resolution of a converter with a Nyquist frequency of 22 kHz to 14 bits.
The threshold 2 B{\displaystyle 2B} is called the Nyquist rate and is an attribute of the continuous-time input x( t){\displaystyle x(t)} to be sampled.
Some amount of aliasing is inevitable because only theoretical, infinitely long,functions can have no frequency content above the Nyquist frequency.
Nyquist determined that the number of independent pulses that could be put through a telegraph channel per unit of time is limited to twice the bandwidth of the channel.
The original signal is retrievable from a sequence of samples, up to the Nyquist limit, by passing the sequence of samples through a type of low pass filter called a reconstruction filter.
The name Nyquist- Shannon sampling theorem honours Harry Nyquist and Claude Shannon albeit the fact that it had already been discovered in 1933 by Vladimir Kotelnikov.
Without an anti-aliasing filter,frequencies higher than the Nyquist frequency will influence the samples in a way that is misinterpreted by the interpolation process.[3].
Nyquist received the IRE Medal of Honor in 1960 for"fundamental contributions to a quantitative understanding of thermal noise, data transmission and negative feedback.".
In all three cases, the condition that ensures the copies of X(f) do not overlap each other is the same: B< 1 M⋅ 1 2 T,{\displaystyle B<{\tfrac{1}{M}}\cdot{\tfrac{1}{2T}},} where T is the interval between samples, 1/T is the sample-rate, and 1/(2T)is the Nyquist frequency.
In 1927, Nyquist found that the rate of identifiable pulses that could be sent through a telegraph channel is limited to the reciprocal of twice the channel bandwidth.
When it is necessary to capture audio covering the entire 20- 20,000 Hz range of human hearing,[5] such as when recording music or many types of acoustic events, audio waveforms are typically sampled at 44.1 kHz(CD), 48 kHz, 88.2 kHz, or 96 kHz.[6]The approximately double-rate requirement is a consequence of the Nyquist theorem.
As per the Nyquist-Shannon sampling theorem, a DAC can reconstruct the original signal fromthe sampled data provided that its bandwidth meets certain requirements(e.g., a baseband signal with bandwidth less than the Nyquist frequency).
In the late 1990s, this work was partially extended to cover signals of when the amount of occupied bandwidth was known, but the actual occupied portion of the spectrum was unknown.[5] In the 2000s,a complete theory was developed(see the section Sampling below the Nyquist rate under additional restrictions below) using compressed sensing.
As an engineer at Bell Laboratories, Nyquist did important work on thermal noise("Johnson- Nyquist noise"), the stability of feedback amplifiers, telegraphy, facsimile, television, and other important communications problems.
The Shannon sampling theory for non-uniform sampling states that a band-limited signal can be perfectly reconstructed from its samples if the average sampling rate satisfies the Nyquist condition.[3] Therefore, although uniformly spaced samples may result in easier reconstruction algorithms, it is not a necessary condition for perfect reconstruction.
The sampling theorem was implied by the work of Harry Nyquist in 1928,[9] in which he showed that up to 2B independent pulse samples could be sent through a system of bandwidth B; but he did not explicitly consider the problem of sampling and reconstruction of continuous signals.
When Shannon stated and proved the sampling theorem in his 1949 article,according to Meijering,[1]"he referred to the critical sampling interval T= 1 2 W{\displaystyle T={\frac{1}{2W}}} as the Nyquist interval corresponding to the band W, in recognition of Nyquist's discovery of the fundamental importance of this interval in connection with telegraphy".