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2018 ; 8
(1
): 4858
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Intrinsic Frequency Analysis and Fast Algorithms
#MMPMID29559648
Tavallali P
; Koorehdavoudi H
; Krupa J
Sci Rep
2018[Mar]; 8
(1
): 4858
PMID29559648
show ga
Intrinsic Frequency (IF) has recently been introduced as an ample signal
processing method for analyzing carotid and aortic pulse pressure tracings. The
IF method has also been introduced as an effective approach for the analysis of
cardiovascular system dynamics. The physiological significance, convergence and
accuracy of the IF algorithm has been established in prior works. In this paper,
we show that the IF method could be derived by appropriate mathematical
approximations from the Navier-Stokes and elasticity equations. We further
introduce a fast algorithm for the IF method based on the mathematical analysis
of this method. In particular, we demonstrate that the IF algorithm can be made
faster, by a factor or more than 100 times, using a proper set of initial guesses
based on the topology of the problem, fast analytical solution at each point
iteration, and substituting the brute force algorithm with a pattern search
method. Statistically, we observe that the algorithm presented in this article
complies well with its brute-force counterpart. Furthermore, we will show that on
a real dataset, the fast IF method can draw correlations between the extracted
intrinsic frequency features and the infusion of certain drugs.
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