2015
DOI: 10.1098/rsos.150475
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On the convergence and accuracy of the cardiovascular intrinsic frequency method

Abstract: In this paper, we analyse the convergence, accuracy and stability of the intrinsic frequency (IF) method. The IF method is a descendant of the sparse time frequency representation methods. These methods are designed for analysing nonlinear and non-stationary signals. Specifically, the IF method is created to address the cardiovascular system that by nature is a nonlinear and non-stationary dynamical system. The IF method is capable of handling specific nonlinear and non-stationary signals with less mathematica… Show more

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Cited by 22 publications
(38 citation statements)
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References 29 publications
(69 reference statements)
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“…In this study, a novel, easy-to-use, and non-invasive approach to estimate carotid-femoral PWV , from a single carotid waveform measurement, is explored. This method is based on the newly developed Intrinsic Frequency (IF) algorithm 18 , 19 . IF method solely needs one uncalibrated trace of a carotid, or aortic, pressure waveform.…”
Section: Introductionmentioning
confidence: 99%
“…In this study, a novel, easy-to-use, and non-invasive approach to estimate carotid-femoral PWV , from a single carotid waveform measurement, is explored. This method is based on the newly developed Intrinsic Frequency (IF) algorithm 18 , 19 . IF method solely needs one uncalibrated trace of a carotid, or aortic, pressure waveform.…”
Section: Introductionmentioning
confidence: 99%
“…A one-way ANOVA comparison of ω 1 across the pediatric and adult cohorts demonstrated a significant difference (F = 7.3, Prob>F = 0.0001). Post-hoc analysis revealed a significant difference between the adult cohort (ω 1 = 99 +/-5 bpm) and both the 0-4 year old (ω 1 = 111 +/-2 bpm; p = 0.0006) and [15][16][17][18][19] year old (ω 1 = 105 +/-5 bpm; p = 0.02) cohorts ( Fig 4A). A one-way ANOVA comparison of ω 2 across all pediatric and adult cohorts showed a significant difference (F = 4.8, Prob>F = 0.003).…”
Section: Resultsmentioning
confidence: 94%
“…IF can be computed using this formula in a fraction of second. Details regarding mathematical formulation of IF method [12], its computational procedure [12], and its convergence/accuracy [19] can be found in previous publications [12,17,19].…”
Section: Intrinsic Frequency Methodsmentioning
confidence: 99%
“…In the LV-aorta system, the decoupling time is the time of the closure of the aortic valve. It is obvious from the definition that IF frequencies are fundamentally different than Fourier harmonics or any other resonance-type frequencies [9,15]. The mathematical formulation of the IF method is as follows:…”
Section: Intrinsic Frequency Methodsmentioning
confidence: 99%
“…a 1 , a 2 , c, b 1 , b 2 , ω 1 , and ω 2 are the unknowns that can be found by solving this nonconvex minimization problem. Details regarding mathematical formulation of the IF method [9], its computational procedure [9], and its convergence/accuracy [15] were provided in previous publications [9,15,16]. Figure 1 illustrates how the IF-reconstructed waveform from ω 1 , and ω 2 represents the original waveform.…”
Section: Intrinsic Frequency Methodsmentioning
confidence: 99%