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EE350 Spring 2007 - Final Exam 9 May 2007 Name: ___________________________ EE 350 Signals and Systems Spring 2007 Final Exam One 8 x 11" sheet of...

please answer each question clearly with steps and explanation please  

EE350 Spring 2007 - Final Exam Name: ___________________________ 9 May 2007 EE350 – Final Exam, Spring 2007 page 1/8 EE 350 Signals and Systems Spring 2007 Final Exam One 8 ½ x 11” sheet of notes, and a calculator are allowed during the exam. Write all answers neatly and show your work to get full credit. Rationalize all complex fractions. A calculator is allowed during the exam, but should not be needed. Write neatly and WATCH YOUR ALGEBRA! Problem 1 /15 Problem 2 /30 Problem 3 /35 Problem 4 /20 Total /100 Course grade
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EE350 Spring 2007 - Final Exam Name: ___________________________ 9 May 2007 EE350 – Final Exam, Spring 2007 page 2/8 1) (15 points) For the questions in this problem, no explanation is necessary Consider the following three systems a) y(t) = x(t+2)sin(wt+2), where w 0 b) y(t) = e -3t (x(t) + 1) c) h(t) = ) 2 ( 3 t u t x(t) is the system input, y(t) is the system output, h(t) is the system impulse response and u(t) is the unit step function. Circle YES or NO for each of the following questions for each of these three systems. System (a) System (b) System (c) Is the system linear ? YES NO YES NO YES NO Is the system time invariant ? YES NO YES NO YES NO Is the system memoryless? YES NO YES NO YES NO Is the system causal ? YES NO YES NO YES NO Is the system stable ? YES NO YES NO YES NO
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Problem 1
a) y(t) = x(t+2)sin(wt+2)
Yes it is liner system
No it is time variant
Yes it is memory less
No it is not causal system
Yes it is stable
b) y(t)= e−3t ( x ( t )+1 ) No it not linear...

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