ECE-314 Fall 2012
Midterm I (75 minutes); Closed Book/Notes
1. A linear time-invariant system has the input-output characteristics shown in the first
row of the diagram below. Determine the output for the input shown on the second row
of the diagram. Just
ECE-314, Fall 2012
Midterm Examination II
Nov. 20, 2012; 6:00PM8:00PM
Closed book; no calculators
Problem 1 Consider the system represented by the dierential equation y + 6y + 9y = x.
(a) Is this system stable? Justify your answer.
Find the roots of the c
CHAPTER 1
1.1 to 1.41 - part of text
1.42
(a) Periodic: Fundamental period = 0.5s (b) Nonperiodic (c) Periodic Fundamental period = 3s (d) Periodic Fundamental period = 2 samples (e) Nonperiodic (f) Periodic: Fundamental period = 10 samples (g) Non
ECE 314 Fall 2012
Homework-10 Solutions
ECE 314 Signals
and Communications
Fall/2004
Solutions to Homework 9
Special Problem 1
(a)
The minimum sampling rate necessary to assure perfect reconstruction, i.e., the Nyquist rate, is equal to twice the highest
ECE 314 Signals and Systems
Fall 2012
Solutions to Homework 9
Problem 3.71
Solution:
(a)
x(t) = yr(t) + yl(t) = i(t)R + yl(t) = L
1
t
yl( ) d.
Hence, upon dierentiation we obtain
d
d
x(t) = yl(t) + L yl(t)
dt
dt
and upon taking Fourier transforms we furth
ECE-314, Fall 2012
Homework 7, Due date: Nov. 8, 2012
Special Problem 1: As discussed in class, the Fourier series representation of any T
periodic signal x is given by x(t) = ck exp(j0 kt), where 0 = 2/T , and ck is the
k=
k th Fourier series coecient a
ECE314: Signals and Systems
Fall 2009
Solution: Homework 6
Professor: Balu Santhanam
Problem 3.58
HW6-1
Problem 3.58
HW6-2
Problem 3.60
HW6-3
Problem 3.61
HW6-4
Problem 3.62
HW6-5
Problem 3.68
HW6-6
Problem 3.70
HW6-7
Problem 3.73
HW6-8
Problem 3.74
HW6-9
ECE 314 Signals and Systems
Fall 2012
Solutions to Homework 5
Problem 2.51 Determine the impulse response of the system described
by y (n) = x(n) + ax(n k ).
Solution: Replace x by to obtain the impulse response: h(n) = (n) +
a (n k ).
Problem 2.53 Determ
ECE314: Signals and Systems
Fall 2009
Solution: Homework 4
Professor: Balu Santhanam
Problem I
Part A
dy (t)
d2 y (t)
+3
+ 2y (t) = 2e4t ut
2
dt
dt
s2 Y (s) + 3sY (s) + 2Y (s) =
2
s+4
2
2
=
(s2 + 3s + 2)(s + 4)
(s + 2)(s + 2)(s + 4)
1
1/3
2/3
+
=
s+1 s+2
ECE314: Signals and Systems
Fall 2009
Solution: Homework 3
Professor: Balu Santhanam
Problem 2.33
HW3-1
Problem 2.34
HW3-2
Problem 2.38
Problem 2.39
HW3-3
Problem 2.40
HW3-4
Problem 2.49
a)h(t) = cos(t)
i The system is not memoryless because the impulse r
ECE-314: Signals and Systems
Term: Fall 2009
Instructor: Balu Santhanam
HW1 - Solution
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Homework 1
Problem 2
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Fall 2009 ECE 314
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Lmax=200;
% Part A
[y, Fs, nbits]=wavread('vowi');
wavplay(y,Fs)
N=Fs*nbits
% Part B
DF=zeros(Lmax,1);
for L=1:
The University of New Mexico
Electrical and Computer Engineering Department
ECE 314 Signals and Systems
Final Project
Telmo Dez (#4)
Alba Herranz (#10)
Spring 2015
Prof. Tarief Elshafiey
Index:
Introduction
II.
DevelopmentandResults
Exercise1
Exercise2
II