Comparisons of Monosinusoidal with Bisinusoidal (Two-Wave) Analysis.

Abstract

Body temperature rises slowly from a morning low to an early evening peak; starts to decline rapidly well before habitual bedtime, and continues to decline to a minimal value the next morning. Time interval between a trough and a peak of the body temperature curve is much longer than that between the peak and the next trough. When a single cosine wave of 24 hour/cycle is fitted to body temperature data, estimates of time-of-peak (TOP) and of time-of-trough (TOT) are usually poor and they are separated by many hours from peak and trough of raw data. Few methods can be used to improve estimation of TOP and TOT. One such improvement is based on the mathematical theory that any arbitrary repeating waveform can be reproduced completely as a sum of harmonic components found in that waveform. Rummel and his colleagues started their analysis by detailed harmonic analysis of data. Then, a computer program searched for the 'best' combination of the harmonics, which described the largest variance in the data with the fewest possible number of harmonics.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1979
Accession Number
ADA118276

Entities

People

  • Ardie Lubin
  • Paul Naitoh
  • W. P. Colquhoun

Organizations

  • Naval Health Research Center

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Amplitude
  • Biomedical Research
  • Body Temperature
  • Computer Programs
  • Computers
  • Data Analysis
  • Data Sets
  • Frequency
  • Harmonic Analysis
  • Harmonics
  • Intervals
  • Residuals
  • Sequences
  • Statistical Analysis
  • Time Intervals
  • Waveforms
  • Waves

Readers

  • Circadian Sleep-Wake Regulation and Chronobiology
  • Combustion Dynamics and Shock Wave Physics.
  • Regression Analysis.