Wavelet transform and filter banks theory relationship. A revision
The search for methods to analyze signals, aimed at obtaining the attributes related to the physical properties that generate these signals, has always been a topic of interest to engineers and mathematicians. One of the most widely used techniques has been representing the signals in the time domai...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Universidad del Zulia
2010-12-01
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| Series: | Revista Técnica de la Facultad de Ingeniería |
| Subjects: | |
| Online Access: | https://www.produccioncientificaluz.org/index.php/tecnica/article/view/5601 |
| _version_ | 1811188472579358720 |
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| author | Trina Adrián de Pérez Margarita Juanatey Luis Urbano Rafael Banehs |
| author_facet | Trina Adrián de Pérez Margarita Juanatey Luis Urbano Rafael Banehs |
| author_sort | Trina Adrián de Pérez |
| collection | DOAJ |
| description | The search for methods to analyze signals, aimed at obtaining the attributes related to the physical properties that generate these signals, has always been a topic of interest to engineers and mathematicians. One of the most widely used techniques has been representing the signals in the time domain; frequency domain analysis or Fourier analysis complements this information. However for non-stationary signals another tool is needed. This produced the idea of a new signal representation using other basis functions to obtain a better time-frequency resolution compromise. This was defined as the wavelet transform. Also, in recent years, the theory of perfect reconstruction filter banks has been impulsed by the search of methods that optimize the storing and transmision of information. This paper introduces the waveet transform and perfect reconstruction filter bandks basics concepts and presents their relationships. This connection makes it possible to present a wavelet transform method based in a filter design that produces the best signal bands analysis.
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| first_indexed | 2024-04-11T14:20:13Z |
| format | Article |
| id | doaj.art-a4c08b07529244359efe3eeb9bfed5a5 |
| institution | Directory Open Access Journal |
| issn | 0254-0770 2477-9377 |
| language | English |
| last_indexed | 2024-04-11T14:20:13Z |
| publishDate | 2010-12-01 |
| publisher | Universidad del Zulia |
| record_format | Article |
| series | Revista Técnica de la Facultad de Ingeniería |
| spelling | doaj.art-a4c08b07529244359efe3eeb9bfed5a52022-12-22T04:19:06ZengUniversidad del ZuliaRevista Técnica de la Facultad de Ingeniería0254-07702477-93772010-12-01212Wavelet transform and filter banks theory relationship. A revisionTrina Adrián de Pérez0Margarita Juanatey1Luis Urbano2Rafael Banehs3Universidad Simón Bolívar-VenezuelaUniversidad Simón Bolívar-VenezuelaUniversidad Simón Bolívar-VenezuelaUniversidad Simón Bolívar-VenezuelaThe search for methods to analyze signals, aimed at obtaining the attributes related to the physical properties that generate these signals, has always been a topic of interest to engineers and mathematicians. One of the most widely used techniques has been representing the signals in the time domain; frequency domain analysis or Fourier analysis complements this information. However for non-stationary signals another tool is needed. This produced the idea of a new signal representation using other basis functions to obtain a better time-frequency resolution compromise. This was defined as the wavelet transform. Also, in recent years, the theory of perfect reconstruction filter banks has been impulsed by the search of methods that optimize the storing and transmision of information. This paper introduces the waveet transform and perfect reconstruction filter bandks basics concepts and presents their relationships. This connection makes it possible to present a wavelet transform method based in a filter design that produces the best signal bands analysis. https://www.produccioncientificaluz.org/index.php/tecnica/article/view/5601waveletfiltersmultiresolution |
| spellingShingle | Trina Adrián de Pérez Margarita Juanatey Luis Urbano Rafael Banehs Wavelet transform and filter banks theory relationship. A revision Revista Técnica de la Facultad de Ingeniería wavelet filters multiresolution |
| title | Wavelet transform and filter banks theory relationship. A revision |
| title_full | Wavelet transform and filter banks theory relationship. A revision |
| title_fullStr | Wavelet transform and filter banks theory relationship. A revision |
| title_full_unstemmed | Wavelet transform and filter banks theory relationship. A revision |
| title_short | Wavelet transform and filter banks theory relationship. A revision |
| title_sort | wavelet transform and filter banks theory relationship a revision |
| topic | wavelet filters multiresolution |
| url | https://www.produccioncientificaluz.org/index.php/tecnica/article/view/5601 |
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