curve.fit

Oscillator

A sine wave centered on a constant level. Use it for periodic data without noticeable damping, such as an AC voltage or a pendulum’s angle over a few swings.

Fit the example dataStart with your own data

Example: a simulated 50 Hz AC voltage, 41 points with y uncertainties, opened as a new copy you can edit.

Parameters

Amplitude.
Angular frequency, or wavenumber, in radians per unit of x. The period is 2π/k.
Phase, in radians. Reported between −π and π.
The constant level the oscillation is centered on.

Tips

  • Automatic starting values take k from the strongest frequency in the data and solve the amplitude, phase and offset exactly. If the fit settles on a harmonic, enter a guess for k: 2π divided by the period you see.
  • Include several points per cycle and at least one full cycle.
  • A negative Aₒ with δ shifted by π describes the same curve.
  • If the amplitude shrinks over time, use Damped Oscillator.

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