A continuous representation of heart rate

K. Han, J. H. Nagel, Neil Schneiderman

Research output: Chapter in Book/Report/Conference proceedingConference contribution

15 Citations (Scopus)

Abstract

Analysis of heart rate variability (HRV) often requires a continuous representation of the inherently discrete heart rate measurement. In combination with a suitable cardiac pacemaker model, e.g. the integral pulse frequency modulator (IPFM), the cardiac event series can be considered as an irregular sampling of a continuous input to the pacemaker model, m(t). Continuous representation of heart rate can thus be achieved by a reconstruction of the input function m(t) from the cardiac event series. Two such representations of the heart rate, the instantaneous heart rate (IHR) and the low pass filtered event series (LPFES), have previously been assumed to be consistent with the IPFM model. Simulations show, however, that the LPFES actually is not consistent with the model. The IHR representation, although consistent with the model, suffers from discontinuities which are both unphysiological and inadequate for subsequent signal processing. A solution to the problem has been developed by introducing M(t), the continuous integral of m(t). The samples of M(t) are specified by the cardiac event series and continuous representation of M(t) is achieved by cubic spline interpolation. The input to the cardiac pacemaker model m(t), or in other words, the representation of the heart rate is given by the derivative of M(t).

Original languageEnglish (US)
Title of host publicationProceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS 1992
EditorsSwamy Laxminarayan, Robert Plonsey, Jean Louis Coatrieux, Jean Pierre Morucci
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages785-786
Number of pages2
ISBN (Electronic)0780307852
DOIs
StatePublished - Jan 1 1992
Event14th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS 1992 - Paris, France
Duration: Oct 29 1992Nov 1 1992

Publication series

NameProceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS
Volume2
ISSN (Print)1557-170X

Conference

Conference14th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS 1992
CountryFrance
CityParis
Period10/29/9211/1/92

Fingerprint

Heart Rate
Pacemakers
Modulators
Splines
Interpolation
Signal processing
Sampling
Derivatives

ASJC Scopus subject areas

  • Signal Processing
  • Biomedical Engineering
  • Computer Vision and Pattern Recognition
  • Health Informatics

Cite this

Han, K., Nagel, J. H., & Schneiderman, N. (1992). A continuous representation of heart rate. In S. Laxminarayan, R. Plonsey, J. L. Coatrieux, & J. P. Morucci (Eds.), Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS 1992 (pp. 785-786). [5761219] (Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS; Vol. 2). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/IEMBS.1992.5761219

A continuous representation of heart rate. / Han, K.; Nagel, J. H.; Schneiderman, Neil.

Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS 1992. ed. / Swamy Laxminarayan; Robert Plonsey; Jean Louis Coatrieux; Jean Pierre Morucci. Institute of Electrical and Electronics Engineers Inc., 1992. p. 785-786 5761219 (Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS; Vol. 2).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Han, K, Nagel, JH & Schneiderman, N 1992, A continuous representation of heart rate. in S Laxminarayan, R Plonsey, JL Coatrieux & JP Morucci (eds), Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS 1992., 5761219, Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS, vol. 2, Institute of Electrical and Electronics Engineers Inc., pp. 785-786, 14th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS 1992, Paris, France, 10/29/92. https://doi.org/10.1109/IEMBS.1992.5761219
Han K, Nagel JH, Schneiderman N. A continuous representation of heart rate. In Laxminarayan S, Plonsey R, Coatrieux JL, Morucci JP, editors, Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS 1992. Institute of Electrical and Electronics Engineers Inc. 1992. p. 785-786. 5761219. (Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS). https://doi.org/10.1109/IEMBS.1992.5761219
Han, K. ; Nagel, J. H. ; Schneiderman, Neil. / A continuous representation of heart rate. Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS 1992. editor / Swamy Laxminarayan ; Robert Plonsey ; Jean Louis Coatrieux ; Jean Pierre Morucci. Institute of Electrical and Electronics Engineers Inc., 1992. pp. 785-786 (Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS).
@inproceedings{2744f15118bd47248ec47f044e3a2227,
title = "A continuous representation of heart rate",
abstract = "Analysis of heart rate variability (HRV) often requires a continuous representation of the inherently discrete heart rate measurement. In combination with a suitable cardiac pacemaker model, e.g. the integral pulse frequency modulator (IPFM), the cardiac event series can be considered as an irregular sampling of a continuous input to the pacemaker model, m(t). Continuous representation of heart rate can thus be achieved by a reconstruction of the input function m(t) from the cardiac event series. Two such representations of the heart rate, the instantaneous heart rate (IHR) and the low pass filtered event series (LPFES), have previously been assumed to be consistent with the IPFM model. Simulations show, however, that the LPFES actually is not consistent with the model. The IHR representation, although consistent with the model, suffers from discontinuities which are both unphysiological and inadequate for subsequent signal processing. A solution to the problem has been developed by introducing M(t), the continuous integral of m(t). The samples of M(t) are specified by the cardiac event series and continuous representation of M(t) is achieved by cubic spline interpolation. The input to the cardiac pacemaker model m(t), or in other words, the representation of the heart rate is given by the derivative of M(t).",
author = "K. Han and Nagel, {J. H.} and Neil Schneiderman",
year = "1992",
month = "1",
day = "1",
doi = "10.1109/IEMBS.1992.5761219",
language = "English (US)",
series = "Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "785--786",
editor = "Swamy Laxminarayan and Robert Plonsey and Coatrieux, {Jean Louis} and Morucci, {Jean Pierre}",
booktitle = "Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS 1992",

}

TY - GEN

T1 - A continuous representation of heart rate

AU - Han, K.

AU - Nagel, J. H.

AU - Schneiderman, Neil

PY - 1992/1/1

Y1 - 1992/1/1

N2 - Analysis of heart rate variability (HRV) often requires a continuous representation of the inherently discrete heart rate measurement. In combination with a suitable cardiac pacemaker model, e.g. the integral pulse frequency modulator (IPFM), the cardiac event series can be considered as an irregular sampling of a continuous input to the pacemaker model, m(t). Continuous representation of heart rate can thus be achieved by a reconstruction of the input function m(t) from the cardiac event series. Two such representations of the heart rate, the instantaneous heart rate (IHR) and the low pass filtered event series (LPFES), have previously been assumed to be consistent with the IPFM model. Simulations show, however, that the LPFES actually is not consistent with the model. The IHR representation, although consistent with the model, suffers from discontinuities which are both unphysiological and inadequate for subsequent signal processing. A solution to the problem has been developed by introducing M(t), the continuous integral of m(t). The samples of M(t) are specified by the cardiac event series and continuous representation of M(t) is achieved by cubic spline interpolation. The input to the cardiac pacemaker model m(t), or in other words, the representation of the heart rate is given by the derivative of M(t).

AB - Analysis of heart rate variability (HRV) often requires a continuous representation of the inherently discrete heart rate measurement. In combination with a suitable cardiac pacemaker model, e.g. the integral pulse frequency modulator (IPFM), the cardiac event series can be considered as an irregular sampling of a continuous input to the pacemaker model, m(t). Continuous representation of heart rate can thus be achieved by a reconstruction of the input function m(t) from the cardiac event series. Two such representations of the heart rate, the instantaneous heart rate (IHR) and the low pass filtered event series (LPFES), have previously been assumed to be consistent with the IPFM model. Simulations show, however, that the LPFES actually is not consistent with the model. The IHR representation, although consistent with the model, suffers from discontinuities which are both unphysiological and inadequate for subsequent signal processing. A solution to the problem has been developed by introducing M(t), the continuous integral of m(t). The samples of M(t) are specified by the cardiac event series and continuous representation of M(t) is achieved by cubic spline interpolation. The input to the cardiac pacemaker model m(t), or in other words, the representation of the heart rate is given by the derivative of M(t).

UR - http://www.scopus.com/inward/record.url?scp=84968749207&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84968749207&partnerID=8YFLogxK

U2 - 10.1109/IEMBS.1992.5761219

DO - 10.1109/IEMBS.1992.5761219

M3 - Conference contribution

T3 - Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS

SP - 785

EP - 786

BT - Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS 1992

A2 - Laxminarayan, Swamy

A2 - Plonsey, Robert

A2 - Coatrieux, Jean Louis

A2 - Morucci, Jean Pierre

PB - Institute of Electrical and Electronics Engineers Inc.

ER -