Nyquist plot
E175076
The Nyquist plot is a graphical representation used in control engineering and signal processing to assess the stability and frequency response of linear time-invariant systems by plotting complex gain as a function of frequency.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Nyquist plot canonical | 7 |
| Nyquist diagram | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1523947 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
Target entity: Nyquist plot Context triple: [Harry Nyquist, notableWork, Nyquist plot]
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A.
Bode plot
A Bode plot is a graphical representation of a linear system’s frequency response, showing magnitude and phase versus frequency on logarithmic scales, widely used in control and amplifier design.
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B.
Nyquist stability criterion
The Nyquist stability criterion is a graphical frequency-domain method in control theory used to determine the stability of feedback systems by analyzing how their open-loop transfer function encircles a critical point in the complex plane.
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C.
Nyquist theorem
The Nyquist theorem is a fundamental principle in signal processing that states a continuous signal can be perfectly reconstructed from its samples if it is sampled at more than twice its highest frequency component.
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D.
Wiener–Khinchin theorem
The Wiener–Khinchin theorem is a fundamental result in signal processing and probability theory that relates a wide-sense stationary random process’s autocorrelation function to its power spectral density via the Fourier transform.
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E.
Laplace transform
The Laplace transform is an integral transform widely used in mathematics, physics, and engineering to convert functions of time into functions of a complex variable, simplifying the analysis and solution of differential equations and linear systems.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Nyquist plot Target entity description: The Nyquist plot is a graphical representation used in control engineering and signal processing to assess the stability and frequency response of linear time-invariant systems by plotting complex gain as a function of frequency.
-
A.
Bode plot
A Bode plot is a graphical representation of a linear system’s frequency response, showing magnitude and phase versus frequency on logarithmic scales, widely used in control and amplifier design.
-
B.
Nyquist stability criterion
The Nyquist stability criterion is a graphical frequency-domain method in control theory used to determine the stability of feedback systems by analyzing how their open-loop transfer function encircles a critical point in the complex plane.
-
C.
Nyquist theorem
The Nyquist theorem is a fundamental principle in signal processing that states a continuous signal can be perfectly reconstructed from its samples if it is sampled at more than twice its highest frequency component.
-
D.
Wiener–Khinchin theorem
The Wiener–Khinchin theorem is a fundamental result in signal processing and probability theory that relates a wide-sense stationary random process’s autocorrelation function to its power spectral density via the Fourier transform.
-
E.
Laplace transform
The Laplace transform is an integral transform widely used in mathematics, physics, and engineering to convert functions of time into functions of a complex variable, simplifying the analysis and solution of differential equations and linear systems.
- F. None of above. chosen
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf |
control engineering concept
ⓘ
frequency response plot ⓘ graphical representation ⓘ signal processing concept ⓘ |
| appliesTo | single-input single-output systems ⓘ |
| assumes |
linear system behavior
ⓘ
time invariance ⓘ |
| axisType | real-imaginary plane ⓘ |
| basedOn | Nyquist stability criterion ⓘ |
| canBeExtendedTo | multi-input multi-output systems ⓘ |
| canInclude |
negative frequencies
ⓘ
positive frequencies ⓘ |
| category |
complex analysis in engineering
ⓘ
control theory ⓘ frequency-domain analysis ⓘ |
| contrastedWith | time-domain response ⓘ |
| domain | linear time-invariant systems ⓘ |
| helpsDetermine |
gain margin
ⓘ
phase margin ⓘ relative stability ⓘ |
| implementedIn |
MATLAB
ⓘ
Python control libraries ⓘ Simulink ⓘ |
| namedAfter | Harry Nyquist ⓘ |
| oftenAssumes | steady-state sinusoidal input ⓘ |
| parameterizedBy | frequency ⓘ |
| plots | imaginary part of transfer function versus real part ⓘ |
| relatedTo |
Bode plot
ⓘ
Nichols chart ⓘ
surface form:
Nichols plot
|
| represents |
complex gain as a function of frequency
ⓘ
open-loop transfer function ⓘ |
| requires | open-loop transfer function ⓘ |
| typicallyUses | logarithmic frequency scale ⓘ |
| usedBy |
control engineers
ⓘ
signal processing engineers ⓘ systems analysts ⓘ |
| usedFor |
closed-loop stability assessment
ⓘ
feedback system analysis ⓘ frequency response analysis ⓘ stability analysis ⓘ |
| usedIn |
control engineering
ⓘ
signal processing ⓘ systems engineering ⓘ |
| usedToCheck | encirclements of the point -1+0j ⓘ |
| visualizes | locus of complex values of the transfer function ⓘ |
How these facts were elicited
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Subject: Nyquist plot Description of subject: The Nyquist plot is a graphical representation used in control engineering and signal processing to assess the stability and frequency response of linear time-invariant systems by plotting complex gain as a function of frequency.
Referenced by (8)
Full triples — surface form annotated when it differs from this entity's canonical label.