Lissajous Figures Applications

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Lissajous figures are primarily used to compare amplitudes, frequencies, and phase differences between two oscillatory signals, particularly when displayed on an oscilloscope. When two sinusoidal signals of equal amplitude and frequency are analyzed, their phase relationship can be visualized through the shape of the trace; a straight line indicates in-phase signals, while a circle suggests a phase difference of pi/2. The discussion highlights the limited awareness of other practical applications beyond visual representation in electronics. Overall, Lissajous figures serve as a valuable tool in signal analysis and visualization. Their relevance extends beyond the ABC logo, emphasizing their scientific utility.
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Are there any applications for the lissajous figures? I haven't seen any applications for them besides the ABC logo so I was curious as to it's uses both in science and everyday life.
 
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These figures allow one to compare amplitudes, frequencies and phase between two oscillatory signals for one.

For example, if you had two sinusoidal signals of equal amplitude and frequency, you could determine the phase difference by looking at the shape of the trace. If the waves are in phase, you would see a straight line, if the waves are pi/2 out of phase, you would see a circle instead.

Claude.
 
Claude Bile said:
These figures allow one to compare amplitudes, frequencies and phase between two oscillatory signals for one.

For example, if you had two sinusoidal signals of equal amplitude and frequency, you could determine the phase difference by looking at the shape of the trace. If the waves are in phase, you would see a straight line, if the waves are pi/2 out of phase, you would see a circle instead...
...when displayed on an oscilloscope.
 
Gokul43201 said:
...when displayed on an oscilloscope.

Where else?
 
Integral said:
Where else?
I don't know any other place. I just wanted to include it (for completeness) in case the OP wasn't aware of where these things are seen.
 
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