# Time-series Decay identification

Are there any known techniques or methods to extract and identify decays from a time-series of data?

By "extract and identify" I mean finding similar features as those in the blue boxes in the figure.

• Pls define decay? It's the case that beauty is in the eye of the beholder. – horaceT Apr 8 '17 at 17:15
• If the decay patterns are of same length => seasonality; If the patterns are of different lengths => cycles – Ferdi Apr 8 '17 at 17:32