GLOSSARY OF TERMS USED IN TIME SERIES ANALYSIS
OF CARDIOVASCULAR DATA
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COMPLEX DEMODULATION

Procedure which allows to describe particular frequency components of a time series as a function of time.

Complex demodulation consists of multiplying the signal x(t) by . In this way a new complex function y(t) is obtained where the frequency band of x(t) centered at f0 has been shifted to a frequency band centered at 0 Hz, and where the 0-Hz band of x(t) has been shifted simultaneously to a frequency band centered at 2f0. Thus it is possible to remove components of x(t) with frequency higher and lower than the band centered at f0 by low-pass filtering y(t), obtaining the complex signal yLP(t). The modulus 2|yLP(t)| gives the time-varying amplitude of the x(t) components centered at f0, while remodulation yLP(t) gives their time courses.
Complex demodulation of cardiovascular signals has been applied to quantify the amplitude of specific oscillations and to investigate the baroreceptors control on the heart.

References:
Orr WC, Hoffman HJ (1974) A 90-min cardiac biorhythm: metodology and data analysis using modified periodograms and complex demodulation. IEEE Trans Biomed Eng 21, 130-143
Kim SY (1997) Baroreflex sensitivity assessed by complex demodulation of cardiovascular variability Hypertension
Lipsitz LA (1998)  Complex demodulation of cardiorespiratory dynamics preceding vasovagal syncope. Circulation
Burguera M et al (1995) Continuous heart rate variability monitoring through complex demodulation implemented with the fast Fourier transform and its inverse. Pacing Clin Electrophysiol.
Hayano J et al (1994) Assessment of frequency shifts in R-R interval variability and respiration with complex demodulation. J Appl Physiol.
Hayano J et al (1993) Continuous assessment of hemodynamic control by complex demodulation of cardiovascular variability. Am J Physiol.
Shin SJ et al (1989) Assessment of autonomic regulation of heart rate variability by the method of complex demodulation. IEEE Trans Biomed Eng.


(PC, 30/12/1999)

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