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In this What's wrong to fit periodic data with polynomials? post, I tried to use Fourier basis expansion and Polynomial basis expansion to fit a toy periodic data (daily temperature data set). I got excellent answer from @Cliff AB and @Aksakal on why the Fourier basis is better for such case.

At the same time, @whuber mentioned in the comment, using periodic version of splines is another option. So, what are periodic version of splines and what's the basis expansion looks like?

In this What's wrong to fit periodic data with polynomials? post, I tried to use Fourier basis expansion and Polynomial basis expansion to fit a toy periodic data (daily temperature data set). I got excellent answer from @Cliff AB and @Aksakal on why the Fourier basis is better for such case.

At the same time, @whuber mentioned in the comment, using periodic version of splines is another option. So, what are periodic version of splines and what's the basis expansion looks like?

In this What's wrong to fit periodic data with polynomials? post, I tried to use Fourier basis expansion and Polynomial basis expansion to fit a toy period data. I got excellent answer from @Cliff AB @Aksakal on why the Fourier basis is better.

At the same time @whuber mentioned using periodic version of splines is another option. So, what are periodic version of splines?

In this What's wrong to fit periodic data with polynomials? post, I tried to use Fourier basis expansion and Polynomial basis expansion to fit a toy periodic data (daily temperature data set). I got excellent answer from @Cliff AB and @Aksakal on why the Fourier basis is better for such case.

At the same time, @whuber mentioned in the comment, using periodic version of splines is another option. So, what are periodic version of splines and what's the basis expansion looks like?