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  2. Nyquist frequency - Wikipedia

    en.wikipedia.org/wiki/Nyquist_frequency

    Early uses of the term Nyquist frequency, such as those cited above, are all consistent with the definition presented in this article.Some later publications, including some respectable textbooks, call twice the signal bandwidth the Nyquist frequency; [6] [7] this is a distinctly minority usage, and the frequency at twice the signal bandwidth is otherwise commonly referred to as the Nyquist rate.

  3. Nyquist rate - Wikipedia

    en.wikipedia.org/wiki/Nyquist_rate

    Fig 1: Typical example of Nyquist frequency and rate. They are rarely equal, because that would require over-sampling by a factor of 2 (i.e. 4 times the bandwidth). In signal processing, the Nyquist rate, named after Harry Nyquist, is a value equal to twice the highest frequency of a given function or signal

  4. Nyquist–Shannon sampling theorem - Wikipedia

    en.wikipedia.org/wiki/Nyquist–Shannon_sampling...

    The sampling theorem introduces the concept of a sample rate that is sufficient for perfect fidelity for the class of functions that are band-limited 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.

  5. Normalized frequency (signal processing) - Wikipedia

    en.wikipedia.org/wiki/Normalized_frequency...

    Some programs (such as MATLAB toolboxes) that design filters with real-valued coefficients prefer the Nyquist frequency (/) as the frequency reference, which changes the numeric range that represents frequencies of interest from [,] cycle/sample to [,] half-cycle/sample. Therefore, the normalized frequency unit is important when converting ...

  6. Oversampling - Wikipedia

    en.wikipedia.org/wiki/Oversampling

    The Nyquist rate is defined as twice the bandwidth of the signal. Oversampling is capable of improving resolution and signal-to-noise ratio, and can be helpful in avoiding aliasing and phase distortion by relaxing anti-aliasing filter performance requirements. A signal is said to be oversampled by a factor of N if it is sampled at N times the ...

  7. Downsampling (signal processing) - Wikipedia

    en.wikipedia.org/wiki/Downsampling_(signal...

    The bandwidth, B, in this example is just small enough that the slower sampling does not cause overlap (aliasing). Sometimes, a sampled function is resampled at a lower rate by keeping only every M th sample and discarding the others, commonly called "decimation". Potential aliasing is prevented by lowpass-filtering the samples before decimation.

  8. Bandlimiting - Wikipedia

    en.wikipedia.org/wiki/Bandlimiting

    An example of a simple deterministic bandlimited signal is a sinusoid of the form () = ⁡ (+). If this signal is sampled at a rate f s = 1 T > 2 f {\displaystyle f_{s}={\tfrac {1}{T}}>2f} so that we have the samples x ( n T ) , {\displaystyle x(nT),} for all integers n {\displaystyle n} , we can recover x ( t ) {\displaystyle x(t)} completely ...

  9. Bandwidth (signal processing) - Wikipedia

    en.wikipedia.org/wiki/Bandwidth_(signal_processing)

    The Rayleigh bandwidth of a simple radar pulse is defined as the inverse of its duration. For example, a one-microsecond pulse has a Rayleigh bandwidth of one megahertz. [1] The essential bandwidth is defined as the portion of a signal spectrum in the frequency domain which contains most of the energy of the signal. [2]

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