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s02_cgs

# s02_cgs - function as shown below u(t t τ 1 τ 4 τ 3 τ 2...

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Superposition I The response of an LTI system G to input u ( t ) is y ( t ) , as shown in the ﬁgure. What is the response of the system to the input u 1 ( t ) ? Sketch your answer on a 3 × 5 card. When done, indicate the conﬁdence you have in your answer: 1. 100% 2. 75% 3. 50% 4. 25% 5. 0% -1 -0.5 0 0.5 1 1.5 2 2.5 3 0 1 2 3 u -1 -0.5 0 0.5 1 1.5 2 2.5 3 0 1 2 3 y -1 -0.5 0 0.5 1 1.5 2 2.5 3 0 1 2 3 1 t

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Superposition II The response of an LTI system G to input u ( t ) is y ( t ) , as shown in the ﬁgure. What is the response of the system to the input u 1 ( t ) ? 1. y a ( t ) 2. y b ( t ) 3. y c ( t ) 4. I don’t know -1 -0.5 0 0.5 1 1.5 2 2.5 3 0 1 2 3 u -1 -0.5 0 0.5 1 1.5 2 2.5 3 0 1 2 3 y -1 -0.5 0 0.5 1 1.5 2 2.5 3 0 1 2 3 1 t
-1 -0.5 0 0.5 1 1.5 2 2.5 3 0 1 2 3 u -1 -0.5 0 0.5 1 1.5 2 2.5 3 0 1 2 3 y -1 -0.5 0 0.5 1 1.5 2 2.5 3 0 1 2 3 1 t -1 -0.5 0 0.5 1 1.5 2 2.5 3 0 1 2 3 a -1 -0.5 0 0.5 1 1.5 2 2.5 3 0 1 2 3 b -1 -0.5 0 0.5 1 1.5 2 2.5 3 0 1 2 3 c t

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Superposition II The response of an LTI system G to input u ( t ) is y ( t ) , as shown in the ﬁgure. What is the response of the system to the input u 1 ( t ) ? The correct answer is: 1. y a ( t ) 2. y b ( t ) 3. y c ( t ) 4. I don’t know
Response to General Input Consider the input u ( t ) to a system G , with step response g s ( t ) . The input is approximated by a staircase

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Unformatted text preview: function, as shown below: u(t) t τ 1 τ 4 τ 3 τ 2 . . . Find an (approximate) expression for the output of the system, y ( t ) . y ( t ) ≈ ? Response to General Input My conﬁdence that I have the correct answer is: 1. 100% 2. 80% 3. 60% 4. 40% 5. 20% 6. 0% Response to General Input The correct answer is y ( t ) ≈ u (0) g s ( t ) ∞ + [ u ( τ n ) − u ( τ n − 1 )] g s ( t − τ n ) n =1 My answer 1. Was completely correct 2. Was mostly correct, with one or two minor errors 3. Had many errors 4. Was completely incorrect...
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s02_cgs - function as shown below u(t t τ 1 τ 4 τ 3 τ 2...

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