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Using Fourier Transform for Forecast?

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Using the trigonometric representation (i.e. sum of cosines) of discrete Fourier transform (DFT), can I apply for forecasting new values? 

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  • No, using DFT trigonometric representation for forecast is not valid.

    Why? The DFT assumes that your data set is periodic, i.e. it repeats itself every N samples, so if you were to use it for forecast, the value you get for N+1 (using full spectrum) would be exactly the same value of observation at t=0.

    When can you use it? Use it when you wish to interpolate values for intermediate points.

    More information? see the following link for more details

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