A Novel Quantitative Analysis Method Called Tessellated Map for ECG Mapped Phase Space
LI Yan-jun
YAN Hong
WANG Zeng-li
YANG Xiang-lin
Abstract：Objective The traditional delay time phase space reconstruction method has the disadvantages of complicated operation, time consuming and unstableness. This paper presented a novel approach called Tessellated Map (TM) for ECG phase space quantitative analysis. Methods Firstly, 2-D matrix X with each ECG-cycle as a column vector was constructed. Secondly, the principal components of X based on Karhunen-Loeve Transform (KLT) were gotten to reconstruct X from the first eigenvector of XX~T. Then the high SNR ECG-cycle form X based on reconstruction error was selected, to construct the 2-D matrix Y. Afterwards, TM was gotten from united Y and Z (derived from the difference of Y). Three TM-based quantitative indexes, consisted of ratio of blank zone, density of points and TM Bitmap (TMB) were gotten. Results This approach could differentiate mental stress from non-stress, estimate arrhythmia,and could be used for personal identification. Conclusion TM is a useful way to obtain information from ECG, and has its value for further research.
Keywords：ECGphase space reconstructionKarhunen-Loeve transformtessellated map
Publication Date：2010-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：6( 57-62 )