### 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 language | English (US) |
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Title of host publication | Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS 1992 |

Editors | Swamy Laxminarayan, Robert Plonsey, Jean Louis Coatrieux, Jean Pierre Morucci |

Publisher | Institute of Electrical and Electronics Engineers Inc. |

Pages | 785-786 |

Number of pages | 2 |

ISBN (Electronic) | 0780307852 |

DOIs | |

State | Published - Jan 1 1992 |

Event | 14th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS 1992 - Paris, France Duration: Oct 29 1992 → Nov 1 1992 |

### Publication series

Name | Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS |
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Volume | 2 |

ISSN (Print) | 1557-170X |

### Conference

Conference | 14th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS 1992 |
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Country | France |

City | Paris |

Period | 10/29/92 → 11/1/92 |

### Fingerprint

### ASJC Scopus subject areas

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

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*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

}

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

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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 -