dc.contributor.author |
McDonald, Andre M
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|
dc.contributor.author |
Van Wyk, M
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|
dc.date.accessioned |
2021-03-29T09:27:13Z |
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dc.date.available |
2021-03-29T09:27:13Z |
|
dc.date.issued |
2020-10 |
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dc.identifier.citation |
McDonald, A.M. & Van Wyk, M. 2020. A novel approach to solving the generalized inverse Frobenius-Perron problem. http://hdl.handle.net/10204/11922 . |
en_ZA |
dc.identifier.isbn |
978-1-7281-3321-8 |
|
dc.identifier.isbn |
978-1-7281-3320-1 |
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dc.identifier.uri |
http://hdl.handle.net/10204/11922
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|
dc.description.abstract |
A new approach to solving a more general formulation of the inverse Frobenius-Perron problem, which requires the construction of a one-dimensional ergodic map with prescribed invariant probability density function and power spectral density, is presented. The proposed approach relies on a novel technique for generating distinct maps with the same invariant density, and which facilitates selection of the structural characteristics of each map in advance. We consider a new class of maps constructed with this technique, the piecewise monotonic hat maps, and present an algorithm for selecting the map parameters to achieve simultaneous and independent prescription of the invariant density and multimodal power spectrum characteristics. This approach to solving the generalized inverse FrobeniusPerron problem is demonstrated by constructing several ergodic maps with the beta invariant density as well as unimodal and bimodal power spectra with distinct mode center frequencies and bandwidths. We conclude that the proposed approach provides a means for generating more realistic models of systems and processes as compared to existing methods. |
en_US |
dc.format |
Fulltext |
en_US |
dc.language.iso |
en |
en_US |
dc.relation.uri |
DOI: 10.1109/ISCAS45731.2020.9181115 |
en_US |
dc.relation.uri |
https://www.iscas2020.org/program/program-schedule-0 |
en_US |
dc.relation.uri |
https://ieeexplore.ieee.org/abstract/document/9181115 |
en_US |
dc.source |
IEEE International Symposium on Circuits & Systems, Virtual, 10-21 October 2020 |
en_US |
dc.subject |
Random variables |
en_US |
dc.subject |
Probability density function |
en_US |
dc.subject |
Eigenvalues and eigenfunctions |
en_US |
dc.subject |
Distribution functions |
en_US |
dc.subject |
Biological system modeling |
en_US |
dc.subject |
Density functional theory |
en_US |
dc.title |
A novel approach to solving the generalized inverse Frobenius-Perron problem |
en_US |
dc.type |
Conference Presentation |
en_US |
dc.description.pages |
5pp |
en_US |
dc.description.note |
Copyright: 2020 IEEE. Due to copyright restrictions, the attached PDF file contains the accepted version of the published item. For access to the published version, please consult the publisher's website. |
en_US |
dc.description.cluster |
Defence and Security |
|
dc.description.impactarea |
Information Security Centre |
en_US |
dc.identifier.apacitation |
McDonald, A. M., & Van Wyk, M. (2020). A novel approach to solving the generalized inverse Frobenius-Perron problem. http://hdl.handle.net/10204/11922 |
en_ZA |
dc.identifier.chicagocitation |
McDonald, Andre M, and M Van Wyk. "A novel approach to solving the generalized inverse Frobenius-Perron problem." <i>IEEE International Symposium on Circuits & Systems, Virtual, 10-21 October 2020</i> (2020): http://hdl.handle.net/10204/11922 |
en_ZA |
dc.identifier.vancouvercitation |
McDonald AM, Van Wyk M, A novel approach to solving the generalized inverse Frobenius-Perron problem; 2020. http://hdl.handle.net/10204/11922 . |
en_ZA |
dc.identifier.ris |
TY - Conference Presentation
AU - McDonald, Andre M
AU - Van Wyk, M
AB - A new approach to solving a more general formulation of the inverse Frobenius-Perron problem, which requires the construction of a one-dimensional ergodic map with prescribed invariant probability density function and power spectral density, is presented. The proposed approach relies on a novel technique for generating distinct maps with the same invariant density, and which facilitates selection of the structural characteristics of each map in advance. We consider a new class of maps constructed with this technique, the piecewise monotonic hat maps, and present an algorithm for selecting the map parameters to achieve simultaneous and independent prescription of the invariant density and multimodal power spectrum characteristics. This approach to solving the generalized inverse FrobeniusPerron problem is demonstrated by constructing several ergodic maps with the beta invariant density as well as unimodal and bimodal power spectra with distinct mode center frequencies and bandwidths. We conclude that the proposed approach provides a means for generating more realistic models of systems and processes as compared to existing methods.
DA - 2020-10
DB - ResearchSpace
DP - CSIR
J1 - IEEE International Symposium on Circuits & Systems, Virtual, 10-21 October 2020
KW - Random variables
KW - Probability density function
KW - Eigenvalues and eigenfunctions
KW - Distribution functions
KW - Biological system modeling
KW - Density functional theory
LK - https://researchspace.csir.co.za
PY - 2020
SM - 978-1-7281-3321-8
SM - 978-1-7281-3320-1
T1 - A novel approach to solving the generalized inverse Frobenius-Perron problem
TI - A novel approach to solving the generalized inverse Frobenius-Perron problem
UR - http://hdl.handle.net/10204/11922
ER - |
en_ZA |
dc.identifier.worklist |
24088 |
en_US |