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ECE 312 Spring 2015: Linear Systems Analysis II Midterm Exam - Prof. Luo, Exams of Electrical and Electronics Engineering

Colorado State University (CSU)Electrical and Electronics Engineering
Prof. Jie Luo

Material Type: Exam; Professor: Luo; Class: Linear System Analysis II; Subject: Electrical and Computer Engineering; University: Colorado State University; Term: Spring 2015;

Typology: Exams

2014/2015

Uploaded on 03/28/2015

calebbegly
calebbegly 🇺🇸

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Colorado State University, Ft. Collins Spring 2015
ECE 312: Linear Systems Analysis II
Mid-Term Exam
March 12, 2015
12:30pm – 1:45pm
Name: ________________________
Total: _______________
Open Book, Open Notes, Calculator (not computer) Allowed.
Exam contains 3 problems.
Please justify your answers. A “yes” or “no” answer without
explanation gets no credit.
No submission will be accepted after 1:47pm!
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Download ECE 312 Spring 2015: Linear Systems Analysis II Midterm Exam - Prof. Luo and more Exams Electrical and Electronics Engineering in PDF only on Docsity!

Colorado State University, Ft. Collins Spring 2015

ECE 312: Linear Systems Analysis II

Mid-Term Exam

March 12, 2015

12:30pm – 1:45pm

Name: ________________________

Total: _______________

Open Book, Open Notes, Calculator (not computer) Allowed.

Exam contains 3 problems.

Please justify your answers. A “yes” or “no” answer without

explanation gets no credit.

No submission will be accepted after 1:47pm!

  1. Consider the following continuous-time LTI system with Hs  being the transfer function

Assume that, with input x   tA cos  0 t    ut where A and  0 are real-valued constants,

the output is dominated by cos 2 t  2

(^1) for large positive t.

i) (15 points) Determine the values of A and  0.

ii) (20 points) Find the impulse response ht of the LTI system.

   2  2 

s s

H s

x   t yt

  1. Consider the following feedback LTI system

i) (20 Points) Obtain the ODE model of the overall system (denoted by System H in the above figure).

ii) (10 Points) Check whether the LTI system is BIBO stable. Why or why not.

x   n

y   n

v   n

D

   0. 25 

  1  D System H