GLOSSARY OF TERMS USED IN TIME SERIES ANALYSIS
OF CARDIOVASCULAR DATA
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POWER

Time average of time-series energy

If x(k) is the k-th value of a time series of N samples with sampling period , its energy E is defined as:

When the series x(k) is produced by a stationary stochastic process of infinite duration rather than by a deterministic waveform of finite duration, the energy is usually infinite, and the quantity of interest is the power P defined as the energy per unit of time:
Note that the units of power are not the units of physical power, being the square of the units of the time series, e.g. mmHg2 for blood pressure time series, ms2 for interval tachogram. For zero-mean time series, the power is equal to the variance of the sample of the N values x(k).

Kay SM, Marple SL Jr. (1981) Spectrum Analysis - A Modern Perspective. Proceeding of the IEEE, vol.69 (11), 1380-1419


(PC 07-09-1999)

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