Efeitos da quantização dos sinais na obtenção de seu modelo autorregressivo

Efeitos da quantização dos sinais na obtenção de seu modelo autorregressivo

This paper addresses the effects of the quantization of an audio signal on the Least-Squares (LS) estimate of its autoregressive (AR) model. First, three topics are reviewed: the statistical description of the quantization error in terms of the number of bits used in fixed-point representation for a signal; the LS estimation of the AR model for a signal; and the relation between Minimum Mean-Square Error (MMSE) solutions for the AR model obtained from noisy and noiseless signals. The sensitivity of the associated generator filter poles localization (expressed by magnitudes and phases) to the deviation of the model parameters is examined. Through the interconnection of these aspects, the deviation of the model coefficients is described in terms of the number of bits used to represent the signal to be modeled, which allows for model correction. Conclusions about peculiarities of the pole deviation of the generator filter are drawn.

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Main Authors: Biscainho,Luiz W. P., Diniz,Paulo S. R., Carvalho,Mauro F. de
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Automática 2003
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-17592003000200011
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spelling oai:scielo:S0103-175920030002000112003-07-31Efeitos da quantização dos sinais na obtenção de seu modelo autorregressivoBiscainho,Luiz W. P.Diniz,Paulo S. R.Carvalho,Mauro F. de Autoregressive models interpolation algorithms least-squares estimation quantization noise sensitivity analysis This paper addresses the effects of the quantization of an audio signal on the Least-Squares (LS) estimate of its autoregressive (AR) model. First, three topics are reviewed: the statistical description of the quantization error in terms of the number of bits used in fixed-point representation for a signal; the LS estimation of the AR model for a signal; and the relation between Minimum Mean-Square Error (MMSE) solutions for the AR model obtained from noisy and noiseless signals. The sensitivity of the associated generator filter poles localization (expressed by magnitudes and phases) to the deviation of the model parameters is examined. Through the interconnection of these aspects, the deviation of the model coefficients is described in terms of the number of bits used to represent the signal to be modeled, which allows for model correction. Conclusions about peculiarities of the pole deviation of the generator filter are drawn.info:eu-repo/semantics/openAccessSociedade Brasileira de AutomáticaSba: Controle & Automação Sociedade Brasileira de Automatica v.14 n.2 20032003-06-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-17592003000200011en10.1590/S0103-17592003000200011
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country Brasil
countrycode BR
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libraryname SciELO
language English
format Digital
author Biscainho,Luiz W. P.
Diniz,Paulo S. R.
Carvalho,Mauro F. de
spellingShingle Biscainho,Luiz W. P.
Diniz,Paulo S. R.
Carvalho,Mauro F. de
Efeitos da quantização dos sinais na obtenção de seu modelo autorregressivo
author_facet Biscainho,Luiz W. P.
Diniz,Paulo S. R.
Carvalho,Mauro F. de
author_sort Biscainho,Luiz W. P.
title Efeitos da quantização dos sinais na obtenção de seu modelo autorregressivo
title_short Efeitos da quantização dos sinais na obtenção de seu modelo autorregressivo
title_full Efeitos da quantização dos sinais na obtenção de seu modelo autorregressivo
title_fullStr Efeitos da quantização dos sinais na obtenção de seu modelo autorregressivo
title_full_unstemmed Efeitos da quantização dos sinais na obtenção de seu modelo autorregressivo
title_sort efeitos da quantização dos sinais na obtenção de seu modelo autorregressivo
description This paper addresses the effects of the quantization of an audio signal on the Least-Squares (LS) estimate of its autoregressive (AR) model. First, three topics are reviewed: the statistical description of the quantization error in terms of the number of bits used in fixed-point representation for a signal; the LS estimation of the AR model for a signal; and the relation between Minimum Mean-Square Error (MMSE) solutions for the AR model obtained from noisy and noiseless signals. The sensitivity of the associated generator filter poles localization (expressed by magnitudes and phases) to the deviation of the model parameters is examined. Through the interconnection of these aspects, the deviation of the model coefficients is described in terms of the number of bits used to represent the signal to be modeled, which allows for model correction. Conclusions about peculiarities of the pole deviation of the generator filter are drawn.
publisher Sociedade Brasileira de Automática
publishDate 2003
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-17592003000200011
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AT carvalhomaurofde efeitosdaquantizacaodossinaisnaobtencaodeseumodeloautorregressivo
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