Exercícios de Sinais e Sistemas

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EE2353: Continuous-Time Signals and Systems: HOMEWORK #4 
Fall 2015 , Univ. of Texas at El Paso 
ASSIGNED: Thursday, September 17, 2015 
DUE: Thursday, September 24, 2015 
QUIZ #4: Thursday, September 24, 2015 (at the end of class) 
WEIGHT: Homework #4 worth 1.0 % and Quiz#4 worth 1.5% of your grade. 
 
ANNOUNCEMENTS, REMINDERS, LOGISTICS: 
 
OFFICE HRS.: Monday - Thursday 11:20-12:20 PM 
 Friday (unless other meetings overlap) 11:20-12:20 PM (send e-mail or call before to confirm) 
 
 EXAM 1 DATE: October 8, 2015 (let us know if you have any serious conflicts like student conferences 
should be communicated ASAP 
 
READING: READING: Sects. 3.3, 3.4; READING: Sects. 4.2 
HOMEWORK PROBLEMS: (show your work and/or justify answers obtained by inspection) 
3.11 d) only 
 
3.13 Here you may want to use well known results of convolutions: anything convolved with an impulse; 
steps convolved with steps; steps with ramps, etc. Try to avoid actually performing any convolutions by 
recognizing well known results. 
 
3.16 a)-c) 
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3.18 c), e) 
 
3.19 Your answer to a) can be checked by looking at the input-output relationship below and making it look 
like a convolution with h(t). 
 x(t) = u(t+1) 
3.22 a), b) and C 
 
C-Also, determine the step response of this LTI system and plot it. 
4.2 a), b) for (i), (ii) and (iv) In all cases use the largest possible fundamental frequency 
 
 
4.4 c) Use Trig. Identities from Appendix A 
 
 
 
Part II: MATLAB PROJECT: 
Project Gamma (based on Homeworks 3 material): 
 
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a)After solving Problem 3.22 C above plot h(t) and the step response result s(t) as follows: 
-Plot both signals in the same time range which clearly includes the essential duration such as [0,5]. 
-Use subplot to both plots on the same figure (type “help subplot” to see its use) 
 
b)Experiment with the command “cumsum” to attempt to find the step response of the row vector of values of 
h(t) (call it hvalues) by computing a running sum (or cumulative sum). Plot the resulting row vector of values 
from: svalues=cumsum(hvalues). Compare with the values of s(t) in part a) and empirically determine a 
constant that can be used to match results as close as possible. 
 
 
Report Guidelines: ALWAYS re-name the files that I send you. Make sure to update the figure titles and the 
comments in the script. Save your results to a file using the menu option “publish to” which will produce a file 
(html type) that can easily be converted to another format such as MS-word to start your report. Add your 
name, and course information and a brief discussion of the results, erase what is not interesting (too many 
printed numbers?) but keep all Matlab code and all figures. Name your Matlab scripts and report files starting 
with your last name and initial and include the homework # and Project number. For example: 
NatalicioD_HW3_ReportII.doc. Print the report file and make it part of your homework assignment as a 
separate document to turn in. Keep the theory problems as a separate document for use during Quizzes.