BuildTakens: Build the Takens' vectors

In RHRV: Heart Rate Variability Analysis of ECG Data

Build the Takens' vectors

Description

This function builds the Takens' vectors of the Non Interpolated RR intervals. The set of Takens' vectors is the result of embedding the time series in a m-dimensional space. That is, the n^{th} Takens' vector is defined as

T[n]=\{niRR[n], niRR[n+ timeLag],..., niRR[n+m*timeLag]\}.

Taken's theorem states that we can then reconstruct an equivalent dynamical system to the original one (the dynamical system that generated the observed time series) by using the Takens' vectors.

Usage

BuildTakens(HRVData, embeddingDim, timeLag)

Arguments

HRVData	Data structure that stores the beats register and information related to it
embeddingDim	Integer denoting the dimension in which we shall embed the RR series.
timeLag	Integer denoting the number of time steps that will be use to construct the Takens' vectors.

Value

A matrix containing the Takens' vectors (one per row).

Note

This function is based on the buildTakens function from the nonlinearTseries package.

References

H. Kantz and T. Schreiber: Nonlinear Time series Analysis (Cambridge university press)

RHRV documentation built on Nov. 1, 2022, 1:05 a.m.