Phase

Calculating phase shift between two sines of equal, unknown, amplitude and frequency

Calculating phase shift between two sines of equal, unknown, amplitude and frequency
  1. How do you find the phase shift between two sine waves?
  2. How do you calculate the phase difference between two digital signals of the same frequency?
  3. How do you calculate phase from frequency?

How do you find the phase shift between two sine waves?

The phase shift equation is ps = 360 * td / p, where ps is the phase shift in degrees, td is the time difference between waves and p is the wave period.

How do you calculate the phase difference between two digital signals of the same frequency?

The simplest technique in your case is to simply calculate the correlation r of de-meaned signals, then get the phase difference as ϕ=arccos(r/π) if the signals are harmonic, i.e. single frequency sine waves. Another way of doing this is with cross-correlation function.

How do you calculate phase from frequency?

Φ = ∫ ω(t) dt

If you still don't quite understand why (frequency x time) = phase, think about the units of measurement. Frequency is commonly measured in Hertz, or cycles per second. Time is measured in seconds. So frequency x time = (cycles/sec) x sec = # of cycles.

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