Análise do efeito da precisão finita no algoritmo adaptativo sigmoidal

Detalhes bibliográficos
Ano de defesa: 2017
Autor(a) principal: Fonseca, José de Ribamar Silva lattes
Orientador(a): BARROS FILHO, Allan Kardec Duailibe
Banca de defesa: Não Informado pela instituição
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Universidade Federal do Maranhão
Programa de Pós-Graduação: PROGRAMA DE PÓS-GRADUAÇÃO EM ENGENHARIA DE ELETRICIDADE/CCET
Departamento: DEPARTAMENTO DE ENGENHARIA DA ELETRICIDADE/CCET
País: Brasil
Palavras-chave em Português:
Palavras-chave em Inglês:
Área do conhecimento CNPq:
Link de acesso: http://tedebc.ufma.br:8080/jspui/handle/tede/1742
Resumo: The adaptive filtering is currently an important tool in the statistical processing of signals, especially when it is necessary to process signals from environments with unknown statistics varying with time. The adaptive filtering study was driven by the development of the Least Mean Square algorithm (LMS) in 1960. Since then other adaptive algorithms have come up with a better performance than LMS algorithm with respect to misadjustment and convergence rate. Among them, the Sigmoidal algorithm (SA) which showed superior to the LMS, for the convergence rate and the mismatch in their implementations infinite precision. In hardware devices such as DSPs, microcontrollers and FPGAs, adaptive algorithms are implemented in finite precision, in general, fixed point arithmetic. When the adaptive filters are implemented in finite precision some effects can affect their performance. Ultimately lead to divergence due to quantization errors specified in the approximation process of the variables involved in the adaptive processing of their original values. Thus, this article aims to analyze the performance of the adaptive algorithm Sigmoidal (SA) in finite precision when implemented using fixed-point arithmetic. In particular, the analysis of its performance curve and mismatch, comparing them in different word lengths (number of bits). The results presented in this article proposes a series of Taylor Ln gradient of cost function (cosh αe) algorithm SA for implementation in finite precision. We analyze its performance curve for different lengths of words. It shows that the algorithm is stable in its performance compared to convergence to different lengths of words, and that the increase in mismatch level at steady state is sensitive or afected by the quantization of the variables involved in the calculations of this algorithm.