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  2. Nyquist stability criterion - Wikipedia

    en.wikipedia.org/wiki/Nyquist_stability_criterion

    The Nyquist plot for () = + + with s = jω.. In control theory and stability theory, the Nyquist stability criterion or Strecker–Nyquist stability criterion, independently discovered by the German electrical engineer Felix Strecker [] at Siemens in 1930 [1] [2] [3] and the Swedish-American electrical engineer Harry Nyquist at Bell Telephone Laboratories in 1932, [4] is a graphical technique ...

  3. Nyquist rate - Wikipedia

    en.wikipedia.org/wiki/Nyquist_rate

    In signal processing, the Nyquist rate, named after Harry Nyquist, is a value equal to twice the highest frequency (bandwidth) of a given function or signal. It has units of samples per unit time, conventionally expressed as samples per second, or hertz (Hz). [1] When the signal is sampled at a higher sample rate (see § Critical frequency ...

  4. Nyquist–Shannon sampling theorem - Wikipedia

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

    Nyquist–Shannon sampling theorem. The Nyquist–Shannon sampling theorem is an essential principle for digital signal processing linking the frequency range of a signal and the sample rate required to avoid a type of distortion called aliasing. The theorem states that the sample rate must be at least twice the bandwidth of the signal to avoid ...

  5. Sampling (signal processing) - Wikipedia

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

    In signal processing, sampling is the reduction of a continuous-time signal to a discrete-time signal. A common example is the conversion of a sound wave to a sequence of "samples". A sample is a value of the signal at a point in time and/or space; this definition differs from the term's usage in statistics, which refers to a set of such values.

  6. Root locus analysis - Wikipedia

    en.wikipedia.org/wiki/Root_locus_analysis

    Root locus analysis. Spirule. In control theory and stability theory, root locus analysis is a graphical method for examining how the roots of a system change with variation of a certain system parameter, commonly a gain within a feedback system. This is a technique used as a stability criterion in the field of classical control theory ...

  7. Hall circles - Wikipedia

    en.wikipedia.org/wiki/Hall_circles

    The M circle with M = 0.45 is highlighted in red and intercepts the Nyquist plot at frequencies . Hall circles (also known as M-circles and N-circles) are a graphical tool in control theory used to obtain values of a closed-loop transfer function from the Nyquist plot (or the Nichols plot) of the associated open-loop transfer function.

  8. Nyquist frequency - Wikipedia

    en.wikipedia.org/wiki/Nyquist_frequency

    In signal processing, the Nyquist frequency (or folding frequency), named after Harry Nyquist, is a characteristic of a sampler, which converts a continuous function or signal into a discrete sequence. For a given sampling rate (samples per second), the Nyquist frequency (cycles per second) is the frequency whose cycle-length (or period) is ...

  9. Nyquist - Wikipedia

    en.wikipedia.org/wiki/Nyquist

    Johnson–Nyquist noise, thermal noise; Nyquist stability criterion, in control theory Nyquist plot, signal processing and electronic feedback; Nyquist–Shannon sampling theorem, fundamental result in the field of information theory Nyquist frequency, digital signal processing; Nyquist rate, telecommunication theory