I'm not sure you will find a book or paper on the explicit subject.
On the other hand, this is basic regression modeling, applied to a sum of sines, cosines, plus a constant. So any number of texts that discuss regression modeling will be of use. Plus any text on Fourier series, depending on your knowledge of the subject.
The point is, you can go to any site and search for texts on Fourier series. Any that seems readable to you will suffice. Then look for a text on regression modeling. It would be good if that text discussed linear and nonlinear regression models. For example, Draper and Smith would suffice (I mention that one only because it is still around and I learned from it 40 years or so ago.)
If you have a specific question, then it would be easier if you ask it.
