How can generate impulse as outliers on periodic or sequenced-based data for doing experiments via outliers detection methods?

Question

I want to carry out some experiments on some time-series data with the KM approach has been suggested in this paper. The problem is I don\'t access the data in the paper but I h

Answer 1

Synthesizing anomalies in time-series can be done by considering the output as a combination of the normal signal and some noise. The most common noise model is additive noise, which means the the output is simply out = signal + noise. In your case you would scale the unit impulses to be of suitable amplitude before adding. In the example the amplitude of the impulsive noise seems around 15.

PS: Both amplitude, distance between impulses and width/shape of impulse should probably be random variables.