lecture14 - EE313 Linear Systems and Signals Fall 2010...

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Unformatted text preview: 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 LTI System Analysis 14 - 2 Zero-State LTIC System Response LTIC: Linear Time-Invariant Continuous-time System response = zero-input response + zero-state response Approaches to find the zero-state response Time-domain solutions to the differential equation Convolution in time domain: y ( t ) = f ( t ) * h ( t ) Continuous-time Fourier transform: Y ( ) = F ( ) H ( ) Laplace transform: Y ( s ) = F ( s ) H ( s ) 14 - 3 Example #1 Transfer function 1/( s +2) and input e -t u ( t ) Either way takes about the same amount of work ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 t u e e t y t u e e t y s s s s s F s H s Y j j j j F H Y s s H j s H H h(t) s s F j F t t t t j s Transform Inverse 2 1 1 1 2 1 1 1 2 1 1 1 2...
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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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lecture14 - EE313 Linear Systems and Signals Fall 2010...

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