How do you find the phase shift using Lissajous figures?
For few Lissajous figures based on their shape, we can directly tell the phase difference between the two sinusoidal signals. If the Lissajous figure is a straight line with an inclination of 45∘ with positive x-axis, then the phase difference between the two sinusoidal signals will be 0∘.
How can you produce an ellipse in a Lissajous figure?
Using an oscilloscope that can plot one signal against another (as opposed to one signal against time) to plot the output of an LTI system against the input to the LTI system produces an ellipse that is a Lissajous figure for the special case of a = b.
What is lissajous method explain it?
The Lissajous Pattern Results ,when sine waves are applied simultaneously to both pairs of deflection plates. • If One frequency is an integral multiple of other ,the pattern will be stationary and is called a Lissajous figure.
What are the uses of Lissajous figures?
Lissajous Figures Uses: The lissajou figures are used to determine the unknown frequency by comparing it with the known frequency. Verifying audio oscillator with a known-frequency signal. Monitoring audio amplifiers and feedback networks for phase shift.
Which signal can be accurately measured by Lissajous pattern?
Frequency measurement of cro or cathode ray oscilloscope : Lissajous patterns may be used for accurate measurement of frequency. The signal, whose frequency is to be measured, is applied to the Y plates.
What are the factors on which shape of Lissajous figure depends?
The shape of Lissajous figures depends on frequency and phase relationship of 2 sine waves. 2 sine waves of same frequency and amplitude may produce a straight line an ellipse or a circle depending on their phase difference.
How do you find the phase shift in CRO?
One thing you can do is choose a circuit design with minimal phase shift and then visually measure the phase shift with an oscilloscope. You can calculate the phase shift by measuring the circuit’s input signal with your oscilloscope’s first channel and the circuit’s output with your scope’s second channel.
What are lissajous patterns from the Lissajous patterns How can the frequency and the phase difference be measured?
The Lissajous pattern indicates the phase difference by the shape of the X-Y plot. A straight line indicates a 0º or 180º phase difference. The angle of the line depends on the difference in amplitude between the two signals, a line at 45º to the horizontal means the amplitudes are equal.
What is a Lissajous pattern How can the pattern be used for frequency and phase measurement?
What characteristics of the Lissajous pattern indicates the ratio of the frequencies that form the pattern?
The simplest Lissajous patterns appear in the oscilloscope display when the frequencies of the signals are the same, i.e. their ratio is 1:1. When this condition is met and when the phase shift is 0°, the display consists of a straight line sloping upward from the left side of the screen to the right side.
What is the use of Lissajous pattern?
How does the Lissajous pattern indicate the phase difference?
The Lissajous pattern indicates the phase difference by the shape of the X-Y plot. A straight line indicates a 0º or 180º phase difference. The angle of the line depends on the difference in amplitude between the two signals, a line at 45º to the horizontal means the amplitudes are equal.
Why does the Lissajous curve rotate counterclockwise?
In this particular example, because the output is 90 degrees out of phase from the input, the Lissajous curve is a circle, and is rotating counterclockwise. 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.
What are the metrics of a Lissajous curve?
The resultant image is known as a Lissajous pattern. By examining the Lissajous pattern, certain information about the relationship between the two signals becomes clear. The metrics of interest are frequency, ratio, relative amplitude and phase shift. Lissajous curves are given by the two parametric equations shown here.
What is the application of Lissajous figure?
Before the days of digital frequency meters and phase-locked loops, Lissajous figures were used to determine the frequencies of sounds or radio signals. A signal of known frequency was applied to the horizontal axis of an oscilloscope, and the signal to be measured was applied to the vertical axis.