Measure phase difference using correlation

January 04, 2016 // By Shayan Ushani
Measure phase difference using correlation
Shayan Ushani considers how to measure phase difference using a correlation technique.

Measuring the phase difference between two periodical signals is often required for a science such as meteorology, computing, and communications. An oscilloscope offers a quick and simple way to make such measurements. Unfortunately, an oscilloscope's noise, bandwidth, and timing resolution limit its measurement accuracy.

The oscilloscope's sampling rate sets its timing resolution. For example for a 100 MHz signal, each degree in phase translates into 27 ps. Clearly, for a one-degree phase measurement accuracy, the sampling time of the oscilloscope must be less than this number. That translates into a sampling rate higher than 36 GHz, which is beyond the reach of the majority of oscilloscopes. To demonstrate this measurement we used an Analog Arts SA985 USB oscilloscope, which has a sampling rate of 100 GHz and a bandwidth of 1 GHz. You can perform this measurement with any oscilloscope that meets the timing requirements of your application. Even with the proper oscilloscope, you must use special techniques to get accurate phase measurements.

An oscilloscope's timing markers (Figure 1) offer the simplest technique to measure the phase between two signals. The time difference between two corresponding points on the signals represents the phase in units of time. Multiplying the ratio of this value to the period of the signals calculates the phase in degrees. The precision of the measurement is highly dependent on the oscilloscope's noise and the triggering uncertainties.

Figure 1. Using timer markers let you measure the phase difference between two signals.

Traditionally, Lissajous patterns (Figure 2) have been used to measure the phase between two sine waves. Making precise measurements from Lissajous plots is, however, simply not possible. Furthermore, for signals other than sine-waves, these patterns are difficult to interpret.

Figure 2. A basic Lissajous Pattern for measuring the pahse difference between two sine waves.

Performing mathematical operations on the signals can enhance the phase measurement. Techniques described in references 1, 2, and 3 are some examples

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