



Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Community
Ask the community for help and clear up your study doubts
Discover the best universities in your country according to Docsity users
Free resources
Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors
Material Type: Exam; Professor: Baylis; Class: Signals and Systems; Subject: Electrical & Comp Engineering; University: Baylor University; Term: Fall 2011;
Typology: Exams
1 / 7
This page cannot be seen from the preview
Don't miss anything!
Name_____________________________________________
ELC 3335 – Signals and Systems Fall 2010 Test 1 – October 5, 2010 Closed Book/Closed Notes 1 hour and 15 minutes
Please sign the statement below. YOU MUST SIGN THE STATEMENT OR YOU WILL GET A ZERO FOR THIS EXAMINATION!!!
I hereby testify that I have neither provided or received information from unauthorized sources during the test and that this test is the sole product of my effort.
Signed ________________________________________ Date_____________________
PROBLEM 1 (15 points): Consider the function
(a) (4 points) Sketch f ( t ). Label all amplitudes and appropriate axis points.
(b) (6 points) Calculate the energy of f ( t ).
(c) (5 points) Sketch f (3 t + 1). Label all amplitudes and appropriate axis points.
PROBLEM 3 (20 points): Find the unit impulse response of a system specified by the equation
PROBLEM 4 (25 points): The unit impulse response of an LTIC system is h(t) = e -t^ u(t). Use convolution to find the zero-state response y(t) of this system for the input f(t) = u(t) – 3u(t-1)+2u(t-4). Provide a single, closed-form expression for y(t) containing appropriate unit step functions. You do not need to simplify.
(Extra workspace on next page)
PROBLEM 5 (20 points): Consider the signals f(t) = e-2t^ and x(t) = e-t^ as shown below:
t -1 1 -1^1
x(t) = e-t 1
f(t) = e-2t
t
(a) (18 points) Find the optimum value of c for the approximation
over the range 0 < t < 1 such that the error signal energy is minimized.
(b) (2 points) From the result to part (a), are the signals orthogonal? How can you tell?