lecture20 - EE313 Linear Systems and Signals Fall 2010...

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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 01/22/2012 for the course EE 312 taught by Professor Shafer during the Spring '08 term at University of Texas at Austin.

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lecture20 - EE313 Linear Systems and Signals Fall 2010...

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