Efficient compression of QRS complexes using Hermite expansion

Aliaksei Sandryhaila, Samir Saba, Markus Püschel, Jelena Kovacevic

Research output: Contribution to journalArticle

Abstract

We propose a novel algorithm for the compression of ECG signals, in particular QRS complexes. The algorithm is based on the expansion of signals with compact support into a basis of discrete Hermite functions. These functions can be constructed by sampling continuous Hermite functions at specific sampling points. They form an orthogonal basis in the underlying signal space. The proposed algorithm relies on the theory of signal models based on orthogonal polynomials. We demonstrate that the constructed discrete Hermite functions have important advantages compared to continuous Hermite functions, which have previously been suggested for the compression of QRS complexes. Our algorithm achieves higher compression ratios compared with previously reported algorithms based on continuous Hermite functions, discrete Fourier, cosine, or wavelet transforms.

Original languageEnglish (US)
Article number6060925
Pages (from-to)947-955
Number of pages9
JournalIEEE Transactions on Signal Processing
Volume60
Issue number2
DOIs
StatePublished - Feb 1 2012

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Cosine transforms
Sampling
Electrocardiography
Wavelet transforms
Polynomials

Keywords

  • Compression
  • ECG signal
  • Hermite function
  • Hermite transform
  • orthogonal polynomials
  • QRS complex
  • signal model

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

Cite this

Efficient compression of QRS complexes using Hermite expansion. / Sandryhaila, Aliaksei; Saba, Samir; Püschel, Markus; Kovacevic, Jelena.

In: IEEE Transactions on Signal Processing, Vol. 60, No. 2, 6060925, 01.02.2012, p. 947-955.

Research output: Contribution to journalArticle

Sandryhaila, Aliaksei ; Saba, Samir ; Püschel, Markus ; Kovacevic, Jelena. / Efficient compression of QRS complexes using Hermite expansion. In: IEEE Transactions on Signal Processing. 2012 ; Vol. 60, No. 2. pp. 947-955.
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