Curve fitting: How to identify the appropriate function for a beat-like phenomena?

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A sample of the time series data

I have a time series data which shows some beat like behaviour. The envelope does not look exponentially decreasing, as it is impossible from a physics point of view. The envelope is likely to be a periodic function with a large period. Also, there seems to be a mean linear or quadratic trend. Given these, which is the appropriate function for curve fitting?