Complex demodulation: Some theory and applications

Author(s):  
T. Hasan
Keyword(s):  
2015 ◽  
Vol 23 (5) ◽  
pp. 5508 ◽  
Author(s):  
Meena Siddiqui ◽  
Serhat Tozburun ◽  
Ellen Ziyi Zhang ◽  
Benjamin J. Vakoc

2013 ◽  
Vol 43 (4) ◽  
pp. 305-326 ◽  
Author(s):  
Adriena Ondrášková ◽  
Sebastian Ševčík

Abstract The more precise determination of instantaneous peak frequency of Schumann resonance (SR) modes, especially based on relatively short signal sequences, seems to be important for detailed analysis of SR modal frequencies variations. Contrary to commonly used method of obtaining modal frequencies by Lorentzian fitting of DFT spectra, the attempt was made to employ the complex demodulation method in iterated form. The results for SR signals contaminated with low-frequency noise and hum in various degree as well as the comparison with standard method are presented. Real signals of vertical electric field component picked up at the Astronomical and Geophysical Observatory of Comenius University at Modra, Slovakia, were the primary sources.


2020 ◽  
pp. 429-457
Author(s):  
Daniel P. Redmond ◽  
Helen C. Sing ◽  
Frederick W. Hegge

1993 ◽  
Vol 264 (4) ◽  
pp. H1229-H1238 ◽  
Author(s):  
J. Hayano ◽  
J. A. Taylor ◽  
A. Yamada ◽  
S. Mukai ◽  
R. Hori ◽  
...  

Usefulness of complex demodulation (CDM) in assessing the frequency components of cardiovascular variability was assessed and, subsequently, this technique was utilized to determine the time-dependent responses of the low-frequency (LF) and high-frequency (HF) amplitudes of heart rate and blood pressure variabilities during postural tilt. CDM provides the time-dependent changes in amplitude of a particular frequency component on a continuous basis. Analysis of simulated data showed that CDM has sufficient frequency resolution to separately measure LF and HF amplitudes with a time resolution < 15 s and that CDM is robust to alterations in the frequency of the components. Analysis of actual data during postural tilt test in 23 young healthy subjects demonstrated that the HF amplitude of heart rate, an index of cardiac parasympathetic tone, rapidly decayed with head-up tilt (P < 0.01) and increased quickly showing an overshoot with tilt back to the supine position (P < 0.01). The LF amplitude of blood pressure, an index of vasomotor sympathetic activity, showed marked rhythmic fluctuation at an interval of 48-100 s during head-up tilt (P < 0.01), synchronizing with similar fluctuation in the LF amplitude of heart rate (P < 0.01). These results suggest that CDM can be used to provide a continuous assessment of cardiovascular variability components and that the dynamic responses of autonomic circulatory control to upright posture result in a phasic modulation of LF amplitude.


Science ◽  
1991 ◽  
Vol 252 (5004) ◽  
pp. 437-440 ◽  
Author(s):  
B. Nearing ◽  
A. Huang ◽  
R. Verrier

2005 ◽  
Vol 19 (26) ◽  
pp. 3961-3983 ◽  
Author(s):  
E. KENGNE ◽  
KUM K. CLETUS

A nonlinear dissipative transmission line is considered and by performing the complex demodulation technique of the signal which allows, in particularly, to separate the right traveling and left traveling waves, we show that the amplitudes of these waves can be described by a complex coupled Ginzburg–Landau equations (CG-LE). The so-called phase winding solutions of the constructed CG-LE is analyzed. We also study the coherent structures in the obtained complex Ginzburg–Landau system. We show that the constructed CG-LE possesses nonlinear plane wave solutions and the modulational instability of these solutions is analyzed. The condition of the modulational instability is given in term of the coefficients of the constructed CG-LE and then in term of the wavenumber of the two right traveling and left traveling waves in the considered transmission line. The results obtained here show that the nonlinear plane wave solutions of the CG-LE under perturbation with zero wavenumber cannot be stable under modulation.


1972 ◽  
Vol 32 (5) ◽  
pp. 513-520 ◽  
Author(s):  
Daniel A Levine ◽  
Robert Elashoff ◽  
Enoch Callaway ◽  
Donald Payne ◽  
Reese T Jones

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