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. 2015 Sep 1;2(5):112-7.
doi: 10.1049/htl.2015.0020. eCollection 2015 Oct.

Exploiting multi-lead electrocardiogram correlations using robust third-order tensor decomposition

Sibasankar Padhy  1 , Samarendra Dandapat  1
Affiliations

Exploiting multi-lead electrocardiogram correlations using robust third-order tensor decomposition

Sibasankar Padhy et al. Healthc Technol Lett. .

Abstract

In this Letter, a robust third-order tensor decomposition of multi-lead electrocardiogram (MECG) comprising of 12-leads is proposed to reduce the dimension of the storage data. An order-3 tensor structure is employed to represent the MECG data by rearranging the MECG information in three dimensions. The three-dimensions of the formed tensor represent the number of leads, beats and samples of some fixed ECG duration. Dimension reduction of such an arrangement exploits correlations present among the successive beats (intra-beat and inter-beat) and across the leads (inter-lead). The higher-order singular value decomposition is used to decompose the tensor data. In addition, multiscale analysis has been added for effective care of ECG information. It grossly segments the ECG characteristic waves (P-wave, QRS-complex, ST-segment and T-wave etc.) into different sub-bands. In the meantime, it separates high-frequency noise components into lower-order sub-bands which helps in removing noise from the original data. For evaluation purposes, we have used the publicly available PTB diagnostic database. The proposed method outperforms the existing algorithms where compression ratio is under 10 for MECG data. Results show that the original MECG data volume can be reduced by more than 45 times with acceptable diagnostic distortion level.

Keywords: ECG wave segmentation; MECG; P-wave; PTB diagnostic database; QRS-complex; ST-segment; T-wave; compression ratio; diagnostic distortion level; dimension reduction; electrocardiography; encoding; high-frequency noise; higher-order singular value decomposition; inter-beat beats; inter-lead; intra-beat beats; medical signal processing; multilead electrocardiogram correlations; multiscale analysis; noise removal; order-3 tensor structure; robust third-order tensor decomposition; signal denoising; singular value decomposition; storage data; successive beats.

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Figures

Figure 1
Figure 1
Block diagram of MECG data a Compression b Reconstruction
Figure 2
Figure 2
HOSVD visualisation and approximation for a third-order tensor
Figure 3
Figure 3
Original (upper row) and compressed (lower row) ECG signals of leads I, aVR and V6 a–c Original d–f Compressed ECG signals of Lead-I, aVR and V6
See this image and copyright information in PMC

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