Diseño eficiente de transformadores de Hilbert
Hilbert transformers are systems of fundamental usage in signal processing and in telecommunications. Application examples include the characterization of acoustical devices, edge and corner detection in digital images, Amplitude Modulation systems and Phase Modulation systems, among others. In this...
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| Tipo de recurso: | tesis de maestría |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2010 |
| País: | México |
| Institución: | Instituto Nacional de Astrofísica, Óptica y Electrónica |
| Repositorio: | Repositorio Institucional del INAOE |
| Idioma: | español |
| OAI Identifier: | oai:inaoe.repositorioinstitucional.mx:1009/500 |
| Acceso en línea: | http://inaoe.repositorioinstitucional.mx/jspui/handle/1009/500 |
| Access Level: | acceso abierto |
| Palabra clave: | info:eu-repo/classification/Filtros/Filters info:eu-repo/classification/Transformada de Hilbert/Hilbert transforms info:eu-repo/classification/Filtros digitales/Digital filters info:eu-repo/classification/cti/1 info:eu-repo/classification/cti/22 info:eu-repo/classification/cti/2203 |
| Sumario: | Hilbert transformers are systems of fundamental usage in signal processing and in telecommunications. Application examples include the characterization of acoustical devices, edge and corner detection in digital images, Amplitude Modulation systems and Phase Modulation systems, among others. In this thesis, an efficient technique to design Hilbert transformers is presented. At first, the importance of designing very sharp Hilbert transformers is explained and the motivation of this work is given. After, we study the theoretical derivation of Hilbert transformers and the characteristics of they are given. In addition, we present some efficient general techniques for designing very sharp filters. Then, we analyze some forms to efficiently design Hilbert transformers based on the described design techniques. A method for efficient design of multiplierless very sharp Hilbert transformer is proposed. Frequency Transformation (FT) method is used to design a Finite Impulse Response (FIR) Hilbert transformer based on the tapped cascaded interconnection of multiple copies of a simple subfilter. This subfilter is designed with Frequency Response Masking (FRM) technique from the design of a half-band filter. In order to obtain an overall multiplierless design, the rounding technique is applied to the coefficients of prototype filter and all subfilters. Additionally, we propose to employ the Pipelinign/Interleaving (PI) technique and the Common Subexpression Elimination (CSE) method for savings in the number of adders. Furthermore, some applications of Hilbert transformers in Amplitude Modulation systems are shown. Finally, the MATLAB functions used for this work are described. The list of publications resulting from this research work is also given. |
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