Practical application[ edit ] Lissajous curves can also be generated using an oscilloscope as illustrated. An octopus circuit can be used to demonstrate the waveform images on an oscilloscope. Two phase-shifted sinusoid inputs are applied to the oscilloscope in X-Y mode and the phase relationship between the signals is presented as a Lissajous figure. In the professional audio world, this method is used for realtime analysis of the phase relationship between the left and right channels of a stereo audio signal. On larger, more sophisticated audio mixing consoles an oscilloscope may be built-in for this purpose.
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Samulabar courbes en relief The beam in some versions traces out a lopsided figure-8 pattern on its side. From Wikipedia, the free encyclopedia. In the professional audio world, this method is used for realtime analysis of the phase relationship between the left and right channels of a stereo audio signal.
On larger, more sophisticated audio mixing consoles an oscilloscope may be built-in for this purpose. This licensing tag was added to this file as part of the GFDL licensing update. This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. Lissajous curve — Wikipedia I, the copyright holder of this work, hereby publish it under the following licenses:.
Lissajous figures are sometimes used in graphic design as logos. The following other wikis use this file: This article needs additional citations dr verification. Please help to improve this article by introducing more precise citations. I created it with the following GNUplo. Lissajous curves can also be generated using an oscilloscope as illustrated. The arrows show the direction of rotation of the Lissajous figure. You may select the license of your choice. Articles needing additional references from November All articles needing additional references All articles with unsourced statements Articles courve unsourced statements from September Articles lacking in-text citations from November All articles lacking in-text citations Commons category link is on Wikidata Wikipedia articles with NDL identifiers Articles containing video clips.
Unsourced material may be challenged and removed. Prior to modern electronic equipment, Lissajous curves could be generated mechanically by means of a harmonograph. A Lissajous curve is used in experimental tests to determine if a device may be properly categorized as a memristor.
This page was last edited on 4 Marchat From Wikimedia Commons, the free media repository. This article includes a list of referencesbut its sources remain unclear because it has insufficient inline citations. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. November Learn couebe and when to remove this template message.
When the input to an LTI system is sinusoidal, the output is sinusoidal with the same frequency, but it may have a different amplitude and some phase shift. Summary [ edit ] Description Lissajous curve 1by2. A Lissajous curve, that can be expressed in parametric form as: I created it with the following GNUplot code: The coubre form of these curves is often suggestive of a three-dimensional knotand indeed many kinds of knots, including those known as Lissajous knotsproject to the plane as Lissajous figures.
I created it with the following GNUplot code:. Please help improve this article by adding citations to reliable sources. This W3C- unspecified plot was created with Gnu plot. This page was last edited on 24 Lisssajousat The timestamp is only as accurate as the clock in the camera, and it may be completely wrong. Gnuplot diagrams Lissajous curves. The figure below summarizes how the Lissajous figure changes over different phase shifts.
If the file has been modified from its original state, some lissajlus such as the timestamp may not fully reflect those of the original file. Two phase-shifted sinusoid inputs are applied to the oscilloscope in X-Y mode and the phase relationship between the signals is presented as a Lissajous figure.
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