Fractional sampling theorem for -bandlimited random signals and its relation to the von neumann ergodic theorem
| datacite.rights | http://purl.org/coar/access_right/c_16ec | |
| dc.creator | Torres R. | |
| dc.creator | Lizarazo Z. | |
| dc.creator | Torres E. | |
| dc.date.accessioned | 2020-03-26T16:32:49Z | |
| dc.date.available | 2020-03-26T16:32:49Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | Considering that fractional correlation function and the fractional power spectral density, for -stationary random signals, form a fractional Fourier transform pair. We present an interpolation formula to estimate a random signal from a temporal random series, based on the fractional sampling theorem for -bandlimited random signals. Furthermore, by establishing the relationship between the sampling theorem and the von Neumann ergodic theorem, the estimation of the power spectral density of a random signal from one sample signal becomes a suitable approach. Thus, the validity of the sampling theorem for random signals is closely linked to an ergodic hypothesis in the mean sense. © 2014 IEEE. | eng |
| dc.format.medium | Recurso electrónico | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.citation | IEEE Transactions on Signal Processing; Vol. 62, Núm. 14; pp. 3695-3705 | |
| dc.identifier.doi | 10.1109/TSP.2014.2328977 | |
| dc.identifier.instname | Universidad Tecnológica de Bolívar | |
| dc.identifier.issn | 1053587X | |
| dc.identifier.orcid | 56270896900 | |
| dc.identifier.orcid | 8330328300 | |
| dc.identifier.orcid | 35094573000 | |
| dc.identifier.reponame | Repositorio UTB | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12585/9036 | |
| dc.language.iso | eng | |
| dc.publisher | Institute of Electrical and Electronics Engineers Inc. | |
| dc.rights.accessrights | info:eu-repo/semantics/restrictedAccess | |
| dc.rights.cc | Atribución-NoComercial 4.0 Internacional | |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.source | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84903694215&doi=10.1109%2fTSP.2014.2328977&partnerID=40&md5=0cb6bcebd7e51b7bb66bab03e6173451 | |
| dc.subject.keywords | Fractional correlation | |
| dc.subject.keywords | Fractional power spectrum | |
| dc.subject.keywords | Ractional Fourier transform | |
| dc.subject.keywords | Sampling theorem | |
| dc.subject.keywords | Stochastic processes | |
| dc.subject.keywords | Power spectral density | |
| dc.subject.keywords | Random processes | |
| dc.subject.keywords | Fractional correlation | |
| dc.subject.keywords | Fractional Fourier transforms | |
| dc.subject.keywords | Fractional power | |
| dc.subject.keywords | Fractional power spectral density | |
| dc.subject.keywords | Fractional sampling | |
| dc.subject.keywords | Interpolation formulas | |
| dc.subject.keywords | Sampling theorems | |
| dc.subject.keywords | Stationary random signal | |
| dc.subject.keywords | Digital signal processing | |
| dc.title | Fractional sampling theorem for -bandlimited random signals and its relation to the von neumann ergodic theorem | |
| dc.type.driver | info:eu-repo/semantics/article | |
| dc.type.hasversion | info:eu-repo/semantics/publishedVersion | |
| dc.type.spa | Artículo | |
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