ECSE 2410  Signals and Systems
SPRING 2017
Homework 8
Due date: Tuesday, February 14th at 12pm on Gradescope
Problem 1. (15 pts) Calculate the following convolution
() = () ()
if () = () and () =  .
Problem 2. Consider a continuous time LTI system with
ECSE 2410  Signals and Systems
SPRING 2017
Homework 10
Due date: Friday, February 24th at 12pm on Gradescope
Problem 1. (20 pts) Consider the following RC circuit, with input voltage signal () and output voltage
signal (). The system is LTI (you do not n
Assignment #09
ECSE2410 Signals & Systems  Fall 2017
Due date: Friday, February 17 at 12pm on Gradescope
1(10). Find the average value (DC value) of a periodic signal xt with period T 3 . One period of the
e t , t 1
x (t )
periodic signal, x t , is de
Homework 7
ECSE 2410 Signals & Systems Spring 2017.
Due date: Friday, February 10 at 12pm on Gradescope
Study Text:
Section 2.2 ContinuousTime LTI Systems: The Convolution Integral. Review derivation, but in particular
study examples 2.6 and 2.7.
Section
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Introduction to Electronics
ECSE2050
Spring 2017
Laboratory Module 2: Diodes Diode characteristics, Smallsignal
models, Diode circuits
Due Date: Feb. 22nd, 2017
Overall notes:
You will not be able to use the benchtop oscilloscope for some parts of this
ECSE 2410  Signals & Systems
May 1, 2015
a
Assignment 22
Due on May 5, 2015
1. Given
x(t)
H(s)
K
y(t)
where
H(s) =
5
s(s + 6)
(a) In the splane find and plot the locations of the closeloop poles for K = 0, 1, 2, 5.
(b) Find the value of K so that the c
ECSE 2410  Signals & Systems
November 15, 2016
a
Solution of Assignment 19
Problem
a)
1
Fls
is
)
and
proper
the
Xi
=3
)

=
k
=
K\=
1
<
(
5+3
2=(5+4)
)
FCS
Fis
,
Fest
b)
is
Fcs )
tT(
s
)
is
Fuss
a
proper
+5
Rensselaer Polytechnic Institute
fct
Fcs )
roo
ECSE 2410  Signals & Systems
November 1, 2016
a
Solution of Assignment 16
Problem
1
=
We
need
that
allows
This
inversely
are
Maximizing
) /
B
and
B
lmct
max
index
Modulation
equivalent
is
find
to
need
we
)
M
.
.
.
.
.
.
.
.
.
.

.
.
.


.

is
smalle
ECSE2410 Signals and Systems
SPRING 2015
Homework Set 8
Due date: February 27th, 2015 in class
RULES:
Collaboration is allowed. However, copying is considered academic dishonesty.
Late submission will not be accepted.
NOTE: In class and in Ex. 3.5 from
ECSE 2410  Signals & Systems
April 14, 2015
a
Assignment 17
Due on April 17, 2015
1. By assuming that Lcfw_(t) = 1 and Lcfw_u(t) = 1/s, and by only using timeshift and frequency
shift properties of Laplace transform, determine the Laplace transform of e
ECSE 2410  Signals & Systems
May 8, 2015
a
Assignment 24
Due on May 12, 2015
1. Find the ztransform of the following repeating sequence (it repeats every 3 terms)
1 n = 0, 3, 6, 9, .
x[n] =
0 otherwise
Express X(z) in closed form.
2. Find analytic exp
ECSE2410 Signals and Systems
SPRING 2015
Homework Set 1
Due date: January 30th, 2015 in class
RULES:
Collaboration is allowed. However, copying is considered academic dishonesty.
Late submission will not be accepted.
Problem 1. (10 pts each) Write the
ECSE 2410  Signals & Systems
February 27, 2015
a
Assignment 9
Due on March 3, 2015
1. Consider a complex signal x(t) with Fourier coefficients cfw_Xn .
(a) Find the Fourier coefficients of Recfw_x(t) in terms of cfw_Xn .
(b) Find the Fourier coefficients
ECSE 2410  Signals & Systems
February 20, 2015
a
Assignment 7
Due on February 24, 2015
1. For signals x(t) and w(t) given in Figure 1
x(t)
.
.
1
5
4
3
2
1
2
1
3
4
5
t
1
w(t)
2
.
5
.
4
3
2
1
1
2
3
4
5
t
Figure 1: Problem 1
(a) Find the Fourier coefficient
ECSE 2410  Signals & Systems
April 24, 2015
a
Assignment 20
Due on April 28, 2015
1. Design a first order lowpass filter HLP () with 3dB cutoff frequency c = 100 rad/sec and
gain 1 for DC values (i.e., at = 0).
2. Transform the lowpass filter designed in
ECSE2410 Signals and Systems
SPRING 2015
Homework Set 23
Due date: May 8th, 2015 in class
RULES:
Collaboration is allowed. However, copying is considered academic dishonesty.
Late submission will not be accepted.
For each of the problems below, you nee