Generating artificial (synthetic) time series for spectral analysis

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Hello, I am attempting to create a synthetic time series to perform spectral analysis (FFT and Lomb-Scargle) on. Ideally, this time series will have three frequencies in it plus noise. I can generate an artificial time series using rand function, but I do not know how to incorporate specific frequencies and noise (this seems like a different process than rand. Any help would be greatly appreciated!

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Stephan
Stephan 2019-3-27

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