SineFit.jl

Robustly and accurately fit monochromatic sine waves.
Author dermesser
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1 Year Ago
Started In
April 2021

SineFit.jl

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Example plot

This package provides functions for estimating and accurately fitting a sine function to a given signal.

This is basically an improvement in robustness to only using LsqFit: clever initial parameter guessing helps the least-squares fit converge quickly and accurately.

Why?

Fitting a periodic function using FFT only doesn't always produce the correct frequency, as a discrete Fourier transform has a discrete frequency resolution and thus doesn't produce the correct frequency for all input data sets.

Fitting a periodic function using LsqFit only doesn't always converge properly, as there is e.g. not a unique phase shift fit parameter.

Combining the two approaches, using an FFT to guess the initial fit parameters and then using a least-squares function fit, produces accurate results most of the time.

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