- Home >
- Engineering >
- American University of Sharjah CT LTI System Signal And System Worksheet

Engineering

American University of Sharjah CT LTI System Signal And System Worksheet

American University of Sharjah

### Question Description

Iâ€™m studying for my Engineering class and need an explanation.

hi, i need a solution for the following 2 questions on introduction to signal and system analysis chapter 3 (response of the system for different inputs), explain what you did please.

thank you.

.png

### Unformatted Attachment Preview

Student has agreed that all tutoring, explanations, and answers provided by the tutor will be used to help in the learning process and in accordance with Studypool's honor code & terms of service.

## Final Answer

here is s...

UCLA

Completion Status:

100%

Review

Review

Anonymous

I was on a very tight deadline but thanks to Studypool I was able to deliver my assignment on time.

Anonymous

The tutor was pretty knowledgeable, efficient and polite. Great service!

Anonymous

Heard about Studypool for a while and finally tried it. Glad I did caus this was really helpful.

Studypool

4.7

Trustpilot

4.5

Sitejabber

4.4

Similar Questions

Economic Order Quantity (EOQ)

Use one Word or Excel file to respond to the following two parts a) and b) of this assignment.Part-a. If the annual demand...

Land development assignment

the file carry's everything you need, as it's described in the file choose a site in chester county, Pennsylvania. if you ...

Electrical Engineering/ Physics

Mohan9.1 (replace 10 A with 11 A)9.39.69.7 (replace 150 with 140)9.9 (replace Ns = 100 with Ns = 110)9.10 follow on wha...

building a manual of child seat

hiI am doing my protocol which is building a manual of a child seat I will post an example that might help to understand â...

Introduction to Object-Oriented Programming

more information it's will help you also in homework public class BishopMoves {
public static int numBishopMoves(String ...

Circuit Theory

Implement the following filters using the biquad cct (Opamps) with NI Multisim High PassLow PasAll PassAttached the releva...

Related Tags

Book Guides

### Becoming

by Michelle Obama

### Animal Farm

by George Orwell

### Othello

by Wiliam Shakespeare

### Alice in Wonderland

by Lewis Carroll

### How to Win Friends and Influence People

by Dale Carnegie

### The Hunger Games

by Suzanne Collins

### Dandelion Wine

by Ray Bradbury

### The Unwinding of the Miracle

by Julie Yip-Williams

### Tess of the DUrbervilles

by Thomas Hardy

Studypool values your privacy. Only questions posted as Public are visible on our website.

Most Popular Answers

InfoTech in a Global Economy

InfoTech in a Global Economy

How is Information Technology in a Global Economy applied, useful/beneficial at in real time Information Technology world, write in your own words.RequirementsTextbook attached for referenceJanssen, M.,
Wimmer, M. A., & Deljoo, A. (Eds.). (2015). Policy practice and digital
science: Integrating complex systems, social simulation and public
administration in policy research (Vol. 10). Springer. 2. Citations are not needed, write in your own words3. Word count - 500- 6004. No plagiarism5. APA Format, APA 6th edition

Question under the requirements

Question under the requirements

Question,,Many airlines operatetodayby using a Hub & Spoke model, which allows them to reduce operating costs and be able to reach service to many more smaller feeder airports.â€¢ As part of this weekâ€™s lecture, post your thoughts on how to make an airline more competitive in this market. Some articles that give more background on the airline industry will be provided in the forum

â€‹â€‹You will repeat the case study presentation model to examine either

â€‹â€‹You will repeat the case study presentation model to examine either

You will repeat the case study presentation model to examine either- Accident Investigation Report- example of Job Hazard Analysis researchit is your choice. if you choose an accident investigation report, then it must be by a recognized organization (NTSB, CSB, etc)if you choose job hazard analysis type research, it must be a published paper, ideal peer review. The ASCE is very interested in construction safety. and while in IE 422 we are focusing mostly on 29 CFR 1910 General Industry, 29 CFR 1928 Construction has a LOT of overlap. So their research has just about as much relevance as anything else, plus they have a pretty solid library of safety science that is open accessplease make sure if you choose the research focuse only on 29 CFR 1910 General Industrybecause we only using it in our class

Structures Pre-Cast and Tilt-up Construction

Structures Pre-Cast and Tilt-up Construction

This assignment may be prepared and turned in via Blackboard or email in MS Word or pdf format.
Pre-cast concrete is used widely in commercial, industrial and institutional projects. Placing pre-cast
concrete elements falls in to three main categories: 1) pre-cast structural columns, beams and decks, 2)
complete pre-cast wall sections, and 3) pre-cast concrete finishing elements (non-structural decorative
elements). These elements are manufactured off-site and delivered to the site where they are installed.
Tilt-up concrete construction also involves placement of pre-cast concrete wall sections, however the
sections are cast on-site, then lifted into place.
The purpose of this assignment is to introduce you to and familiarize yourself with pre-cast and tilt-up
concrete construction. It is not a research project, so answers should be brief. 1. How are pre-cast concrete elements set in to place? What equipment is used to manipulate
them into position? 2. How are tilt-up sections lifted and set into place? What equipment is used? 3. How are tilt-up wall sections and pre-cast wall sections held in place and kept stable until the
deck and roof structural system is in place? 4. What is the main difference between pre-cast construction and tilt-up construction? 5. What are the safety considerations when placing pre-cast or tilt-up wall sections? 6. What are the advantages of using pre-cast construction? 7. How are pre=cast structural elements (columns, beams, deck sections) connected to each
other? What equipment is needed?

Writing A research

Writing A research

Please choose either an autocollimator or a laser interfeometer (homodyne or heterodyne).Carry out a research on the working principles, detailed description of key components of the equipment you have chosen and industrial application. You need to also search related YouTube videos. Write a brief research report on it. To get A, your report should have at least 5 related photos, links of 3 YouTube videos as well as the working principles, detailed descriptions of key components of the equipment and an industrial application summary. I expect a 7-10 pages long report including photos you have identified.

EE 353 Signal and system Problem Set 3

EE 353 Signal and system Problem Set 3

Please check the file uploaded for this assignment, MATLAB is used for this assignmentProblem 21:(20 points)1. Simplify the following expressions:(a) (4 points) [Î´(tâˆ’2)Î´(t+ 3) +u(tâˆ’2)Î´(tâˆ’3)u(t+ 3)]ejÏ‰t(b) (4 points)u(t+ 1)Î´(1âˆ’t)e3tâˆ’3+sin(Ï€3)+eâˆ’(3âˆ’jÏ€)tÎ´(tâˆ’1)2. Evaluate the following integrals:(a) (4 points)âˆ«âˆžâˆ’âˆžg(Ï„)Î´(tâˆ’Ï„)dÏ„(b) (4 points)âˆ«âˆžâˆ’âˆžÎ´(2Ï„âˆ’3)Î´(t+ 1âˆ’Ï„)dÏ„(c) (4 points)âˆ«t0eâˆ’Ï„Î´(Ï„âˆ’1)dÏ„Problem 22:(30 points) We use the symbolâˆ—to represent the convolution operation on two signals. Mathematicallythe convolution of two signals,x(t) andy(t) is given as:x(t)âˆ—y(t)â‰¡âˆ«âˆžâˆ’âˆžx(Ï„)y(tâˆ’Ï„)dÏ„1. (16 points) A system with impulse responseh(t) has inputf(t) and zero state responseyZSR(t). The systemâ€™sinput-output relation is:yZSR(t) =f(t)âˆ—h(t)(a) (8 points) Using the definition of the convolution given above, prove that the system is linear.(b) (8 points) Using the definition of the convolution given above, prove that the system is time invariant.2. (4 points) Show thatf(t)âˆ—Î´(tâˆ’T) =f(tâˆ’T).3. (6 points) Iff(t)âˆ—g(t) =c(t), show the derivative property of convolution Ì‡f(t)âˆ—g(t) =f(t)âˆ— Ì‡g(t) = Ì‡c(t).4. (4 points) Derive the identitydu(t)dt=Î´(t),whereu(t) is the unit-step function. In order to obtain this identity, you need to show that the functionalsg(t) =du/dtandÎ´(t) have the same effect on an arbitrary functionf(t), that isâˆ«âˆžâˆ’âˆžf(t)g(tâˆ’T)dt=f(T)whereTis a real-valued constant parameter.Problem 23:(30 points)Systems can be represented by both an ODE and an impulse response function. Given either representation, youcan find the zero-state response for a given input. For example, consider the RC circuit in Figure 1.f (t)y(t)R2R1CFigure 1: RC circuit with input voltagef(t) and output voltagey(t).1. (5 points) Derive the ODE representation of the system andshow that it can be expressed as Ì‡y+1Ï„y=KÏ„f.Express the time constantÏ„and parameterKin terms ofR1,R2, andC. What is the physical significance ofthe parameterK?2. (5 points) Solve the ODE in part 1 to determine the zero-state unit-step response.3. (10 points) Determine the impulse response functionh(t) of the circuit by:(a) (5 points) Take the derivative of the zero-state unit-step response.(b) (5 points) Using the method described in Section 2.3 of Lathi.Note that your results should be identical.4. (10 points) Determine the zero-state unit-step responseusing the convolution integral. Check your answeragainst the result obtained in part 2. They should be identical.Problem 24:(20 points)Using the graphical convolution method discussed in section 2.4-2 of the text and lecture, find and sketchy(t) =f(t)âˆ—h(t) for the following signals.1. (10 points)f(t) =u(t+ 1)âˆ’u(tâˆ’2)h(t) =eâˆ’t/5u(t)2. (10 points)f(t) = (t+ 2) (u(t+ 2)âˆ’u(t)) + (âˆ’t+ 2) (u(t)âˆ’u(tâˆ’2))h(t) =eâˆ’tu(t)Problem 25:(30 points) A future lecture demonstrates that any real-valued periodic signalf(t) with fundamentalperiodTomay be expresses as a superposition of an infinite number of sinusoids,f(t) =ao+âˆžâˆ‘n=1ancos(n Ï‰ot) +âˆžâˆ‘n=1bnsin(n Ï‰ot),wherea0, a1, a2, . . . , b1, b2. . .are real-valued constant coefficients given byao=1Toâˆ«Tof(t)dtan=2Toâˆ«Tof(t) cosnÏ‰otdtbn=2Toâˆ«Tof(t) sinnÏ‰otdt,andÏ‰o= 2Ï€/To. As an example, the coefficients for the periodic waveform shown in Figure 3.10(a) of Lathi are:ao=13an= (âˆ’1)n(2nÏ€)2bn= 0Ï‰o= 2Ï€/To=Ï€. As it not possible to numerically determinef(t) for an infinite number of terms, consider anapproximation that utilizes the first N terms of the summation,fN(t) =ao+Nâˆ‘n=1ancos(n Ï‰ot) +Nâˆ‘n=1bnsin(n Ï‰ot),IfN <âˆž, thenf(t) =fN(t) +e(t),wheree(t) is the approximation error.1. (12 points) Write a MATLAB primary function findfN that determinesfN(t) given an integer value ofNanda time vector. The syntax for the calling the function must befN = findfN(t,N);Implement the computation offNusing a For-Loop.Here is a basic example of a Matlab primary function using a for loop:function y = f_N(N)y = 0;for(i = 1:N)y = y+i;endreturnIn Matlab, one way to create the function above is to save the function as an m-file with the same name as thefunction; in this case we would save it asf_N.m. This function can then be called either from the commandline or from other scripts. For additional information on primary functions see:http://matlab.izmiran.ru/help/techdoc/matlab_prog/...h_func8.html2. (18 points) Write a Matlab script m-file that:(a) (9 points) Computesf(t) over the intervalâˆ’1â‰¤tâ‰¤1 using the equationf(t) =t2.The time vector must consist of 10,001 points equally spacedbetween -1 and 1. Plotf(t) using a dot-dashblack line.(b) (3 points) Call the function findfN, using the time vector generated in part (a) andN= 1. Using subplots,plotf(t), using a dashed red line, andf1(t), using a solid blue line, in the upper subplot. Plot the errore(t), in the lower subplot using a dash-dot black line.(c) (6 points)Repeat (b) usingN= 10 andN= 100. Notice that, asNincreases, the approximation erroris reduced. It is possible to reduce the approximation errorto any acceptable level by including enoughterms in the approximation.To earn full credit for Problem 25:â€¢Include your three figures, your script m-file and your function file with your homework solutions.â€¢Include a comment containing your name, your section numberand the due date at the top of both the scriptm-file and function file.â€¢Appropriately label each graph; no credit is given for MATLAB plots whose axes are unlabeled! An exampleis provided in Figure 2.â€¢Use the MATLAB commandgtextto place your name and section name within the figure.Time-1-0.500.51Amplitude-0.500.51The function f(t) compared to its approximation f1(t).f(t)f1(t)Time-1-0.500.51Amplitude-0.100.10.20.3The approximation error, e(t).Figure 2: Example of the plot comparingf(t) tof1(t)Problem 26:(25 points)Using the relationshipf(t)âˆ—Î´(tâˆ’T) =f(tâˆ’T)(1)derived in lecture, evaluation of the convolution integraly(t) =f(t)âˆ—h(t) =âˆ«âˆžâˆ’âˆžf(Ï„)h(tâˆ’Ï„)dÏ„is simple when eitherf(t) orh(t) is a sum of weighted impulses. This problem extends this result to the case whereeither the derivative of eitherf(t) orh(t) yields a sum of weighted impulses.1. (10 points) As as an example of the utility of equation (1),suppose thaty(t) =f(t)âˆ—h(t) wheref(t) = 2 (Î´(t+ 3) +Î´(tâˆ’3))h(t) =11 +t2.Determiney(t), and sketchf(t),h(t), andy(t) on a single plot.2. (15 points) Now suppose we apply the inputf(t) =u(t+ 2)âˆ’u(tâˆ’1)to a LTI system that has the impulse response functionh(t) =u(tâˆ’2).Neitherf(t) orh(t) is expressed directly as a sum of weighted impulses.(a) (3 points) Find an expression fordh/dtin terms of an impulse and sketchdh/dt.(b) (3 points) Letg(t) denote the response of a system with impulse responsedh/dtto the inputf, that isg(t) =f(t)âˆ—dhdt.Calculate and sketchg(t).(c) (3 points) Use the derivative property of covolution to show the zero-state response of the system withimpulse responseh(t) to the inputf(t) can be expressed asy(t) =âˆ«tâˆ’âˆžg(Ï„)dÏ„.(d) (6 points) Using the last two results, calculate and sketchy(t).Problem 27:(20 points)When the impulse response functionh(t) is a causal signal, then the system is causal. Conversely, if the systemimpulse response is noncausal then the system is noncausal.To illustrate this important concept, consider two LTIsystems that are represented by the impulse response functionsSystem 1:h1(t) =eâˆ’tu(t)System 2:h2(t) =etu(âˆ’t).1. (6 points) Sketchh1(t) andh2(t), and specify whether or not each impulse response functionis a causal ornoncausal signal.2. (14 points) Let the input to each system bef(t) =eâˆ’t/2u(t)(a) (5 points) Use convolution to determine the zero state responsey1(t), for the system,h1(t).(b) (5 points) Use convolution to determine the zero state responsey2(t), for the system,h2(t).(c) (4 points) Compare the sketch of bothy1(t) andy2(t) to the inputf(t). Determine if the systemsh1(t)andh2(t) are causal or noncausal. Explain your answers in a clearly written sentence.Problem 28:(20 points)1. (10 points) Consider two linear time-invariant systems whose impulse responsesh(t) are specified asâ€¢h1(t) =u(t)â€¢h2(t) =2t(t2+1)2Classify each system, corresponding to the impulse functions considered above, as either BIBO stable or notBIBO stable. In order to receive credit, justify your answer.2. (10 points) The system shown in Figure 3 is composed of fourLTI systems whose impulse response functionsareh1(t),h2(t),h3(t), andh4(t). The input to the overall system isf(t), and the output isy(t). Using thedistributive, commutative, and associative properties ofconvolution, represent the composite system by a singleblock with an impulse response functionh(t) so thaty(t) =f(t)âˆ—h(t),and expressh(t) in terms ofh1(t),h2(t),h3(t), andh4(t).f (t)h1(t)h2(t)h3(t)h4(t)Î£Î£y(t)Figure 3: Block diagram for a system containing subsystems.

Have a homework question? Get help from verified tutors now!