processamento digital de sinais · oppenheim, alan v., willsky, alan s. sinaise sistemas, pearson,...
TRANSCRIPT
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Professor: Marcelino Andrade
Processamento Digital
de Sinais
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OPPENHEIM, ALAN V., WILLSKY, ALAN S. Sinais e Sistemas, Pearson,
2010.
SIMON HAYKIN; BARRY V. VEEN. Sinais e Sistemas, Bookman , 2002
OPPENHEIM,A., SCHAFER.R. Discrete-Time Signal Processing. Prentice
Hall, 1999.
MITRA.S. Digital Signal Processing - A Computer-Based Approach. Mac
Graw-Hill, 1998.
PROAKIS.J., MANOLAKIS,D. Digital Signal Processing – Principles,
Algorithms and Applications. Prentice Hall, 1996.
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?Defina Sinal?
"Uma função que carrega informação, geralmente relacionadas a uma estado ou comportamento de um
sistema."
Mansur, P.H.G; et al. 2006 - "Análise de registros eletrocardiográficos
associados ao infarto agudo do miocárdio" A.B. Cardiol. vol.87 no.2 SPSinal de Tensão
Típico
Normal Infarte Agudo
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Sinais de Tempo Contínuo e Tempo Discreto
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????????
Sinais Pares e Ímpares
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Sinais Pares e Ímpares
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Sinais Periódicos e Não Periódicos
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??
Sinais Periódicos e Não Periódicos
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Sinais Periódicos e Não Periódicos
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Sinais Determinísticos e Aleatórios
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Sinais de Energia e de Potência
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Sinais de Energia e de Potência
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Sinais de Energia e de Potência
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Operações Básicas em Sinais
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Operações Básicas em Sinais
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Operações Básicas em Sinais
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Operações Básicas em Sinais
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Operações Básicas em Sinais
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Operações Básicas em Sinais
Regras de Precedência – Deslocamento X Escala
?
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Operações Básicas em Sinais
Regras de Precedência – Deslocamento X Escala
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Sinais Elementares
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Sinais Elementares
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Sinais Elementares
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Sinais Elementares
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Sinais Elementares
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Sinais Elementares
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Sinais Elementares
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Sinais Elementares
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Sinais Elementares
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Sinais Elementares
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Sinais Elementares
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Sinais Elementares
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Sistemas como Interconexões de Operações
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Propriedades dos Sistemas
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Propriedades dos Sistemas
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Propriedades dos Sistemas
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Propriedades dos Sistemas
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Propriedades dos Sistemas
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Propriedades dos Sistemas
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Propriedades dos Sistemas
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Propriedades dos Sistemas
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Explorando Conceitos no Matlab
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Iniciamos caracterizando um sistema LTI em termos de sua resposta ao impulso.
O foco está nas descrições de sistemas que relacionam o sinal de saída ao de
entrada, quando ambos os sinais são representados como funções de tempo;
por isso, a terminologia "Domínio de Tempo"
Sistemas Lineares Invariante no Tempo
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SLIT – Soma de Convolução
Representando x[n] de forma concisa:
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SLIT – Soma de Convolução
Representando x[n] de forma concisa submetido ao Operador H {x[n]}:
Considerando o Sistema Invariante no Tempo:
Temos a Soma de Convolução:
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Exemplo
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Exemplo
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Exemplo
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SLIT – Soma de Convolução
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Soma de Convolução
Qual é o resultado da Soma de Convolução?
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Sinais Contínuo em Termos de Impulsos
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Sinais Contínuo em Termos de Impulsos
Qual é o resultado das Integrais?
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Integral de Convolução
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Integral de Convolução
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Resposta ao Impulso de Sistemas LTI
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Resposta ao Impulso de Sistemas LTI
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Resposta ao Impulso de Sistemas LTI
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Exemplo
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Resposta ao Impulso de Sistemas LTI
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Resposta ao Impulso de Sistemas LTI
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Resposta ao Impulso de Sistemas LTI
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Resposta ao Impulso de Sistemas LTI
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Resposta ao Impulso de Sistemas LTI
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Exemplo
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Resposta ao Impulso de Sistemas LTI
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Resposta ao Impulso de Sistemas LTI
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Resposta ao Impulso de Sistemas LTI
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Resposta ao Impulso de Sistemas LTI
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Resposta ao Impulso de Sistemas LTI
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Resposta ao Impulso de Sistemas LTI
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Equações Diferencias e das Diferenças
Determine
as
Equações Diferenciais!!!!
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Equações das Diferenças em SLIT
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Solução de Equações Diferenciais e das Diferenças
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Solução de Equações Diferenciais e das Diferenças
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Solução de Equações Diferenciais e das Diferenças
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Solução de Equações Diferenciais e das Diferenças
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Solução de Equações Diferenciais e das Diferenças
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Solução de Equações Diferenciais e das Diferenças
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Solução de Equações Diferenciais e das Diferenças
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