Boston University Department of Biomedical Engineering
ENG BE 401 Signals and Systems in BME
Fall 2012
SOLUTIONS TO PROBLEM SET 1
September 11, 2012
Problem 1 (Graphical operations):
(a) Using only graphical techniques, sketch the derivative of the functi

Homework 2 solution
Problem 1 ( Linearity and Time Invariance):
a) y t
ax t , where a is a complex constant (a ).
i)Linearity:Forlinearity,additivityandhomogeneity(scaling)mustbesatisfied.
,
,
:
Let
additivity.
, then
To test homogeneity

BE 401 Problem Set #7
10-24-12
Problem #1:
1
Do Problem 4.21 from the textbook.
a) () = [ 0 ](), > 0
1 () = 0
2 () = ()
() = 1 () 2 ()
1 () = [ ( 0 ) + ( + 0 )]
1
2 () = +
() = 2 1 () 2 ()
1
Because this convolution involves impulses, it can be done by

Boston University Department of Biomedical Engineering
ENG BE 401 Signals and Systems in BME
Fall 2014
PROBLEM SET 9 WITH MATLAB
DUE: November 20, 2014
We have now covered through Chapter 5 in the textbook. In addition, the applications material
covered i

Boston University
Department of Biomedical Engineering
ENG BE 401 Signals and Systems in BME
HW0 (Review)
2013 Solutions
Problem 1:
(A) For the dierential equation
dy
= f (y )
dt
dene in English, as concisely and completely as you can, what a solution is.

Boston University Department of Biomedical Engineering
ENG BE 401 Signals and Systems in BME
Fall 2013
ENG BE 401 meetings will consist of lectures on Tuesdays and Thursdays 2-3:30 pm in PHO
206, Small Group Sections on Mondays in assigned sections (B1-B5

title.txt
IMPORTANT NOTE:
These solutions were put together rather quickly and were not checked as thoroughly
as we would have liked.
If you see any mistakes, please e-mail David Giese.
Good luck studying!
Page 1

Boston University Department of Biomedical Engineering
ENG BE 401 Signals and Systems in BME
Fall 2014
SOLUTIONS TO PROBLEM SET 1
September 11, 2014
Problem 1 (Complex exponential functions):
The complex constant A is specied as A = 2 2j.
(a) Write the co

Boston University Department of Biomedical Engineering
ENG BE 401 Signals and Systems in BME
Fall 2014
PROBLEM SET 4
DUE: October 2, 2014
Problems 1-5 (Problems from Exam I of 2013):
Boston University
Department of Biomedical Engineering
ENG BE 401 Signal

Boston University
Department of Biomedical Engineering
ENG BE 401 — Signals and Systems in BME
2013
EXAM # 1 SOLUTIONS October 4, 2013
Problem 1: (10 points)
(a) Fill in the missing entries (where there are ?) consistent with the given infor—
mation in th

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Boston University Department of Biomedical Engineering
ENG BE 401 Signals and Systems in BME
Fall 2014
PROBLEM SET 3 Solutions
Problem 1 (Convolution):
(a) Find the output ya(t) of an LTI system with impulse response h(t) when the input is 33005),
where h

Boston University Department of Biomedical Engineering
ENG BE 401 Signals and Systems in BME
Fall 2013
SOLUTIONS TO PROBLEM SET 5
October 18, 2014
Problem 1 (Sums of exponential functions):
Suppose that a waveform x(t) is represented as a summation of exp

Boston University
Department of Biomedical Engineering
ENG BE 401 Signals and Systems in BME
Fall 2014
PROBLEM SET 2
Solutions
Problem 1 ( Linearity and Time Invariance):
For each of the following systems with input x(t) and output y(t), state whether or

Boston University Department of Biomedical Engineering
ENG BE 401 Signals and Systems in BME
Fall 2014
SOLUTIONS TO PROBLEM SET 1
September 11, 2014
Problem 1 (Complex exponential functions):
The complex constant A is specied as A = 2 2j.
(a) Write the co

Boston University Department of Biomedical Engineering
ENG BE 401 Signals and Systems in BME
Fall 2014
PROBLEM SET 6
DUE: October 23, 2014
FINISH READING CHAPTER 3 OF THE TEXTBOOK
Problem 1:
Consider a continuous-time LTI system with impulse response h(t)

Boston University Department of Biomedical Engineering
ENG BE 401 Signals and Systems in BME
Fall 2014
PROBLEM SET 8
DUE: November 4, 2014
Problem 1:
Consider the time waveform x1 [n] specied by the equation below.
x1 [n] = [n + 2] + 2[n + 1] + 3[n] + 2[n

Boston University Department of Biomedical Engineering
ENG BE 401 Signals and Systems in BME
Fall 2012
PROBLEM SET 1
DUE: September 11, 2012
Review the material called Lathi Complex Math Appendix posted on our Blackboard site. This
is the appendix materia

Boston University Department of Biomedical Engineering
ENG BE 401 Signals and Systems in BME
Fall 2012
PROBLEM SET 2
DUE: September 18, 2012
Problem 1 ( Linearity and Time Invariance):
For each of the following systems with input x(t) and output y (t), st

Boston University Department of Biomedical Engineering
ENG BE 401 Signals and Systems in BME
Fall 2012
PROBLEM SET 4 DUE: October 11, 2012
READ CHAPTER 3 OF THE TEXTBOOK Sections 3.0 through 3.5.
Problem 1 (Exam Re-do):
As stated in class7 you should

Boston University Department of Biomedical Engineering
ENG BE 401 Signals and Systems in BME
Fall 2012
PROBLEM SET 3
DUE: September 25, 2012
Problem 1 (More Convolution):
(a) Find the output ya (t) of an LTI system with impulse response h(t) when the inpu

Boston University Department of Biomedical Engineering
ENG BE 401 Signals and Systems in BME
Fall 2012
PROBLEM SET 6 - SOLUTIONS
Problem 1:
+
(t nT )
p(t) =
n=
The given signal is an impulse train with a period of T with an impulse occuring at t = , t =