EE313_total_response_cont_time

# EE313_total_response_cont_time - EE 313 Linear Systems and...

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Total Response (Continuous Time) EE 313 Linear Systems and Signals Fall 2008 Prof. Adnan Kavak Dept. of Electrical and Computer Engineering The University of Texas at Austin

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2 LTI System Response to the Everlasting Exponential y ( t ) = H ( s ) e s t for a particular value of s transfer function of the system ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 s H s t s t s t s d e h e d e h e t h t y - - - - = = = τ h ( t ) y ( t ) e st ( 29 ( 29 - - = d e h s H s ( 29 st e input signal input signal output = = s H
3 System Transfer Function Q ( D ) y ( t ) = P ( D ) f ( t ) ( 29 st e t f = ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 s Q s P s F s Y s H s F s P s Y s Q = = = ( 29 st e s H t y ) ( = st r st r r st r e s e dt d e D = = ) ( ) ( and ) ( ) ( st st st st e S Q e D Q e S P e D P = = System transfer function

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4 Transfer Function H ( s ) is called the transfer function because it describes how input is transferred to the output in a transform domain s
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EE313_total_response_cont_time - EE 313 Linear Systems and...

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