Lecture20 - EE313 Linear Systems and Signals Fall 2010 System Realization Prof Brian L Evans Dept of Electrical and Computer Engineering The

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EE313 Linear Systems and Signals Fall 2010 Initial conversion of content to PowerPoint by Dr. Wade C. Schwartzkopf Prof. Brian L. Evans Dept. of Electrical and Computer Engineering The University of Texas at Austin System Realization
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20 - 2 Passive Circuit Elements Laplace transforms with zero-valued initial conditions Capacitor Inductor Resistor ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 s L s I s V s H s I s L s V dt di L t v = = = = ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 s C s I s V s H s I s C s V s V s C s I dt dv C t i 1 1 = = = = = ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 R s I s V s H s I R s V t i R t v = = = = + v ( t ) + v ( t ) + v ( t )
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20 - 3 First-Order RC Lowpass Filter x ( t ) y ( t ) + + C R X(s) Y(s) + + R s C 1 Time domain Laplace domain C R s C R s X s Y s X s C R s C s Y s I s C s Y s C R s X s I 1 1 ) ( ) ( ) ( 1 1 ) ( ) ( 1 ) ( 1 ) ( ) ( + = + = = + = i ( t ) I(s)
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20 - 4 First-Order RC Highpass Filter x ( t ) y ( t ) + + R C X(s) Y(s) + + s C 1 Time domain
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This note was uploaded on 02/16/2011 for the course ECE 313 taught by Professor Evans during the Spring '11 term at University of Texas at Austin.

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Lecture20 - EE313 Linear Systems and Signals Fall 2010 System Realization Prof Brian L Evans Dept of Electrical and Computer Engineering The

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