Challenge_29

# Challenge_29 - » NUM 0 0 0 {N(z)=0} » DEN 1 0 -1 {D(z)= z...

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Signals and Systems Dr. Fred J. Taylor, Professor Lesson Title: State Variable Basics Lesson Number: [28] (Supplemental) Challenge Associate a system given by 0 , 2 0 , 0 1 , 1 0 1 1 = - = = - = d c b A , with the architecture shown below. Complete the system’s block diagram by supplying all the multiplier inputs. Q: What is the system’s transfer function? T x 2 y(t) v(t) x 1 T STATE - 1

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Signals and Systems Dr. Fred J. Taylor, Professor The filters transfer function is ( 29 ( 29 [ ] = - - = + - + - + = + - = - 0 ) 1 /( 1 2 0 1 1 1 0 1 1 ) ( ) ( 1 z d b z z z z c d b A zI c z H T T 0 !!!!! which is machine verified below. » A=[1 1; 0 -1]; b= [1; 0]; ct= [0, -2]; d=0; » [NUM,DEN]=SS2TF(A,b,ct,d);
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Unformatted text preview: » NUM 0 0 0 {N(z)=0} » DEN 1 0 -1 {D(z)= z 2-1} Changing the state model to: , 2 , 1 , 1 1 1 = -= = -= d c b A results in: » A=[1 1; 0 -1]; b= [1; 0]; ct= [-2, 0]; d=0; » [NUM,DEN]=SS2TF(A,b,ct,d); T x 2 y(t) v(t) x 1 ⊗ ⊗ ⊕ ⊗ ⊕ ⊗ T ⊗ ⊗ ⊕ “a” a 12 =1 a 11 =1 a 22 =-1 b 1 =1 c 2 =-2 d=0 STATE - 2 Signals and Systems Dr. Fred J. Taylor, Professor » NUM 0 -2 -2 {N(z)= -2z -2} » DEN 1 0 -1 { D(z)= z 2-1 } or H(z) = -2(z+1)/(z 2-1) STATE - 3...
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## This note was uploaded on 04/15/2010 for the course EEL 3135 taught by Professor ? during the Spring '08 term at University of Florida.

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Challenge_29 - » NUM 0 0 0 {N(z)=0} » DEN 1 0 -1 {D(z)= z...

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