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| Format: | Artículo científico |
| Language: | en |
| Published: |
Sociedad Mexicana de Física A.C.
2016
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| Subjects: | |
| Online Access: | https://www.redalyc.org/articulo.oa?id=57045452008 |
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| _version_ | 1866558486326804480 |
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| author | J. Ramírez-Pacheco |
| author_facet | J. Ramírez-Pacheco |
| contents | A nonextensive wavelet (q, q') - entropy for 1 =f α signals J. Ramírez-Pacheco L. Rizo-Domínguez J.A. Trejo-Sánchez J. Cortez-González Física, Astronomía y Matemáticas 1=fÆsignals Nonextensive entropies wavelet information tools This paper proposes a nonextensive wavelet(q; q0)-entropy computed as a wavelet-domain generalization of the time-domain(q; q0)entropyof Borges and obtains a closed-form expression of this measure for the class of1=fÆsignals. Theoretical wavelet(q; q0)-entropy planesare obtained for these signals and the effect of parametersqandq0on the shape and behaviour of these wavelet entropies are discussedwith sufficient detail. The relationship of this entropy with Shannon and Tsallis entropies is studied and some applications of the proposedtwo-parameter wavelet entropy for the analysis/estimation of1=fsignals are outlined. 2016 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57045452008 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.3 Vol.62 |
| format | Artículo científico |
| id | redalyc_57045452008 |
| language | en |
| publishDate | 2016 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | A nonextensive wavelet (q, q') - entropy for 1 =f α signals J. Ramírez-Pacheco Física, Astronomía y Matemáticas 1=fÆsignals Nonextensive entropies wavelet information tools A nonextensive wavelet (q, q') - entropy for 1 =f α signals J. Ramírez-Pacheco L. Rizo-Domínguez J.A. Trejo-Sánchez J. Cortez-González Física, Astronomía y Matemáticas 1=fÆsignals Nonextensive entropies wavelet information tools This paper proposes a nonextensive wavelet(q; q0)-entropy computed as a wavelet-domain generalization of the time-domain(q; q0)entropyof Borges and obtains a closed-form expression of this measure for the class of1=fÆsignals. Theoretical wavelet(q; q0)-entropy planesare obtained for these signals and the effect of parametersqandq0on the shape and behaviour of these wavelet entropies are discussedwith sufficient detail. The relationship of this entropy with Shannon and Tsallis entropies is studied and some applications of the proposedtwo-parameter wavelet entropy for the analysis/estimation of1=fsignals are outlined. 2016 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57045452008 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.3 Vol.62 |
| title | A nonextensive wavelet (q, q') - entropy for 1 =f α signals |
| topic | Física, Astronomía y Matemáticas 1=fÆsignals Nonextensive entropies wavelet information tools |
| url | https://www.redalyc.org/articulo.oa?id=57045452008 |