Excel contains a data analysis add-in that allows to to perform a Fourier analysis of a series of numbers. Follow the steps below.
Installing Analysis Toolpak
Install the Excel Analysis ToolPak. Launch Excel and click on the "File". Select "Options" and then click on "Add-Ins". Click the drop-down menu next to "Manage" at the bottom of the window and then click "Go." Click the check-box next to "Analysis ToolPak" and then click "OK."
Enter number for your series
IMPORTANT: In the Fourier series the data must be in the multiples of 2 and cannot excel 4096
Evaluating Fourier series
Click on the "Data" tab then click "Data Analysis" in the "Analysis" group. Choose "Fourier Analysis" and click "OK." A dialog box will appear with options for the analysis.
Click in the "Input Range" box in the dialog that appears. Click and drag on the spreadsheet to highlight the data you want to analyze.
Click in the "Output Range" box and then click and drag on the spreadsheet where you want the analysis to appear. Click OK.
Click and drag on the spreadsheet to select the column or row where your Fourier analysis appeared. Click on the "Insert" tab, click "Scatter" and choose "Scatter with Smooth Lines." The Fourier series will be plotted as a curve on your graph.
Fourier analysis can be a complex mathematical technique, and the accuracy of the results will depend on factors such as the number of data points, the spacing of the data, and the quality of the signal. It's important to have a solid understanding of Fourier analysis and the assumptions underlying the FFT algorithm before performing this analysis in Excel.