On the convergence and accuracy of the cardiovascular intrinsic frequency method
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 c...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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The Royal Society
2015-01-01
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| Series: | Royal Society Open Science |
| Subjects: | |
| Online Access: | https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.150475 |
| _version_ | 1818161189894488064 |
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| author | Peyman Tavallali Thomas Y. Hou Derek G. Rinderknecht Niema M. Pahlevan |
| author_facet | Peyman Tavallali Thomas Y. Hou Derek G. Rinderknecht Niema M. Pahlevan |
| author_sort | Peyman Tavallali |
| collection | DOAJ |
| description | 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 mathematical regularity. In previous works, we showed the clinical importance of the IF method. There, we showed that the IF method can be used to evaluate cardiovascular performance. In this article, we will present further details of the mathematical background of the IF method by discussing the convergence and the accuracy of the method with and without noise. It will be shown that the waveform fit extracted from the signal is accurate even in the presence of noise. |
| first_indexed | 2024-12-11T16:13:49Z |
| format | Article |
| id | doaj.art-c6a7d357c58a4fabbb26055ed95e81c9 |
| institution | Directory Open Access Journal |
| issn | 2054-5703 |
| language | English |
| last_indexed | 2024-12-11T16:13:49Z |
| publishDate | 2015-01-01 |
| publisher | The Royal Society |
| record_format | Article |
| series | Royal Society Open Science |
| spelling | doaj.art-c6a7d357c58a4fabbb26055ed95e81c92022-12-22T00:59:00ZengThe Royal SocietyRoyal Society Open Science2054-57032015-01-0121210.1098/rsos.150475150475On the convergence and accuracy of the cardiovascular intrinsic frequency methodPeyman TavallaliThomas Y. HouDerek G. RinderknechtNiema M. PahlevanIn 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 mathematical regularity. In previous works, we showed the clinical importance of the IF method. There, we showed that the IF method can be used to evaluate cardiovascular performance. In this article, we will present further details of the mathematical background of the IF method by discussing the convergence and the accuracy of the method with and without noise. It will be shown that the waveform fit extracted from the signal is accurate even in the presence of noise.https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.150475intrinsic frequencyinstantaneous frequencypulse wave analysiscardiovascular diseaseventricular/arterial coupling |
| spellingShingle | Peyman Tavallali Thomas Y. Hou Derek G. Rinderknecht Niema M. Pahlevan On the convergence and accuracy of the cardiovascular intrinsic frequency method Royal Society Open Science intrinsic frequency instantaneous frequency pulse wave analysis cardiovascular disease ventricular/arterial coupling |
| title | On the convergence and accuracy of the cardiovascular intrinsic frequency method |
| title_full | On the convergence and accuracy of the cardiovascular intrinsic frequency method |
| title_fullStr | On the convergence and accuracy of the cardiovascular intrinsic frequency method |
| title_full_unstemmed | On the convergence and accuracy of the cardiovascular intrinsic frequency method |
| title_short | On the convergence and accuracy of the cardiovascular intrinsic frequency method |
| title_sort | on the convergence and accuracy of the cardiovascular intrinsic frequency method |
| topic | intrinsic frequency instantaneous frequency pulse wave analysis cardiovascular disease ventricular/arterial coupling |
| url | https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.150475 |
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