Sinusoidal_model
Sinusoidal model
Sine wave used to approximate data
In statistics, signal processing, and time series analysis, a sinusoidal model is used to approximate a sequence Yi to a sine function:
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where C is constant defining a mean level, α is an amplitude for the sine, ω is the angular frequency, Ti is a time variable, φ is the phase-shift, and Ei is the error sequence.
This sinusoidal model can be fit using nonlinear least squares; to obtain a good fit, routines may require good starting values for the unknown parameters. Fitting a model with a single sinusoid is a special case of spectral density estimation and least-squares spectral analysis.