Detecting low-dimensional chaos by the “noise titration” technique: Possible problems and remedies

Distinguishing low-dimensional chaos from noise is an important issue in time series analysis. Among the many methods proposed for this purpose is the noise titration technique, which quantifies the amount of noise that needs to be added to the signal to fully destroy its nonlinearity. Two groups of researchers recently have questioned the validity of the technique. In this paper, we report a broad range of situations where the noise titration technique fails, and offer solutions to fix the problems identified.

► Distinguishing low-dimensional chaos from noise is an important issue.
► Noise titration technique is one of the main approaches on the issue.
► Problems of noise titration technique are systematically discussed.
► Solutions to the problems of noise titration technique are provided.