This document contains homework assignments, lab objectives, and reading materials for ECET 345 over 7 weeks. It includes questions on topics like Fourier analysis, Laplace transforms, sampling, discrete signals and systems, and convolution. Students are asked to work problems, write code in MATLAB, and analyze signals in both time and frequency domains. Readings are provided to introduce concepts covered in later assignments and labs.
CONTROL SYSTEMS PPT ON A UNIT STEP RESPONSE OF A SERIES RLC CIRCUIT sanjay kumar pediredla
THIS PPT IS SO USEFUL TO KNOW ABOUT THE SERIES RLC CIRCUIT AND IN THIS WE CAN ALSO HOW THE RESPONSE WILL BE THERE FOR A UNIT STEP RESPONSE AND I ALSO KEPT A MATLAB CODING AND GRAPHS FOR THE SERIES RLC CIRCUIT
I am Samantha H. I am a Digital Signal Processing Assignment Expert at matlabassignmentexperts.com. I hold a Master's in Matlab, the University of Alberta Canada. I have been helping students with their assignments for the past 14 years. I solve assignments related to Digital Signal Processing.
Visit matlabassignmentexperts.com or email info@matlabassignmentexperts.com.
You can also call on +1 678 648 4277 for any assistance with Digital Signal Processing Assignment.
CONTROL SYSTEMS PPT ON A UNIT STEP RESPONSE OF A SERIES RLC CIRCUIT sanjay kumar pediredla
THIS PPT IS SO USEFUL TO KNOW ABOUT THE SERIES RLC CIRCUIT AND IN THIS WE CAN ALSO HOW THE RESPONSE WILL BE THERE FOR A UNIT STEP RESPONSE AND I ALSO KEPT A MATLAB CODING AND GRAPHS FOR THE SERIES RLC CIRCUIT
I am Samantha H. I am a Digital Signal Processing Assignment Expert at matlabassignmentexperts.com. I hold a Master's in Matlab, the University of Alberta Canada. I have been helping students with their assignments for the past 14 years. I solve assignments related to Digital Signal Processing.
Visit matlabassignmentexperts.com or email info@matlabassignmentexperts.com.
You can also call on +1 678 648 4277 for any assistance with Digital Signal Processing Assignment.
Oscillator Circuit using Multisim Softwarerishiteta
Oscillators are a signal generator. It's a very important part of electronics. In this following report, the multisim software is used to analyse and simulate the circuits of the oscillator.
1. (TCO 4) For the series-parallel circuit given in Figure 3.1 below, determine the total resistance RT between the terminals labeled A and B
2. (TCO 4) For the circuit given in Figure 3.3, obtain the following quantities.
a) Currents I1 and I2
b) Power dissipated by the resistor R3
3. (TCOs 2,3,4) Determine the unknown quantities I1, V2, and V3
Electric Circuits LabInstructor -----------Serie.docxpauline234567
Electric Circuits Lab
Instructor: -----------
Series RL Circuits
Student Name(s): Click or tap here to enter text.
Click or tap here to enter text.
Honor Pledge:
I pledge to support the Honor System of ECPI. I will refrain from any form of academic dishonesty or deception, such as cheating or plagiarism. I am aware that as a member of the academic community, it is my responsibility to turn in all suspected violators of the honor code. I understand that any failure on my part to support the Honor System will be turned over to a Judicial Review Board for determination. I will report to the Judicial Review Board hearing if summoned.
Date: 1/1/2018
Contents
Abstract 3
Introduction 3
Procedures 3
Data Presentation & Analysis 4
Calculations 4
Required Screenshots 4
Conclusion 4
References 5
Abstract
(This instruction box is to be deleted before submission of the Lab report)
What is an Abstract?
This should include a brief description of all parts of the lab. The abstract should be complete in itself. It should summarize the entire lab; what you did, why you did it, the results, and your conclusion. Think of it as a summary to include all work done. It needs to be succinct yet detailed enough for a person to know what this report deals with in its entirety.
Objectives of Week 2 Lab 2:
· Understand the effect of frequency on inductive reactance.
· Measure the impedance of an RL circuit.
· Measure the phase angle and phase lead of an RL circuit using the oscilloscope.
· Draw the impedance and voltage phasor diagrams.
· Understand how an inductor differentiates current.
Introduction
(This instruction box is to be deleted before submission of the Lab report)
What is an Introduction?
In your own words, explain the reason for performing the experiment and give a concise summary of the theory involved, including any mathematical detail relevant to later discussion in the report. State the objectives of the lab as well as the overall background of the relevant topic.
Address the following items in your introduction:
· What is Impedance for an RL circuit? (Give formula)
· What is phase angle for an RL circuit? How is it calculated?
· What is phase lead for an RL lead circuit? How is it calculated?
· How/why does an inductor differentiate current? Give formula.Procedures
Part I:
1.
Connect the following circuit.
Figure 1: RL Circuit
2.
Connect one DMM across the resistor and one DMM across the inductor.
Set both DMMs to read AC Voltage.
Measure the voltage drop across each component.
Record the result in
Table 1.
3. Use Ohm’s law to
calculate the current flowing through the resistor. Since the circuit in
Figure 1 is a series RL circuit, the same current will flow through the inductor and the resistor.
Record the result in
Table 1.
Tennessee State University College of Engineering, Tec.docxmehek4
Tennessee State University
College of Engineering, Technology, and Computer Science
Department of Electrical and Computer Engineering
ENGR 2001
CIRCUITS I LAB
Section 01
Lab 1
Low Pass/High Pass Filters
Transient and AC Analysis
Beyonce Smith
Lab Partner: Will Knowles
Instructor: Dr. Carlotta A. Berry
Lab Performed: October 16, 2000
Report Submitted: October 23, 2000
2
ABSTRACT
The purpose of this experiment was to design a high pass and low pass filter that
attenuates a 1 kHz signal by 20 db. Test and evaluate this circuit built in a laboratory to
determine how closely actual values correlate to theoretical values. Part of this analysis
will include observing the transient and AC characteristics by using an oscilloscope,
digital multimeter and function generator. The theory used to design this filter included
Ohm’s law, the voltage divider rule and Laplace transforms. The results were shown to
correlate closely with the theoretical values and therefore were assumed to be
significant.
3
TABLE OF CONTENTS
Abstract
I. Objective
II. Theory
III. Equipment
IV. Apparatus
V. Circuits
VI. Procedure
VII. Graphs
VIII. Results, Conclusions, and Recommendations
Appendix A Data
Appendix B Formulas and Sample Calculations
Appendix C References and Laboratory Instruction Sheet
4
I. Objective:
The purpose of this experiment was to explore the behavior of a low pass filter
and high pass filter over a range of frequencies with a given break frequency.
II. Theory:
A filter is a device that attenuates a range of frequencies and passes a range of
frequencies. There are several types of filters including low pass, high pass,
band pass and band reject. The range of frequencies that are passed by a filter
are called the pass band. The frequency where the relationship between input
and output is equal to .707 is called the break frequency or half power point. An
example of a high pass filter would be a tweeter on a speaker in a car. An
example of a low pass filter would be the bass from a speaker in a car. An
example of a band pass filter would be the selector for a radio station. In this
experiment the low pass and high pass filter will be explored. Equation (1) is the
transfer function relationship for the high pass filter. Equation (2) is the low pass
transfer function for the low pass filter.
H(S) =
sRC
sRC
sV
sV
i
o
1)(
)(
(1)
H(s) =
sRCsV
sV
i
o
1
1
)(
)(
(2)
III. Equipment:
Breadboard
Wire leads
Digital Oscilloscope
Digital Multimeter
Function Generator
Power Supply
Resistors (1 k, 5 k)
Capacitors (.01 F, 1 F)
741 Op-amp
IV. Apparatus:
The apparatus used to measure the transient and AC response of a circuit
includes the breadboard with the resistor and capacitor positioned for a low pass
or high pass filter, ...
What is chaos? When engineers use the word chaos, they normally mean that a predictable dynamic system can give unpredictable results. The easiest way to observe chaos is in electronic circuits. This is because of its simplicity, inexpensive and
because electronic devices are well understood.
Chua's circuit is an example of a chaotic circuit. But because of its simplicity and universality, this circuit is bit more special. A lot of questions can be asked about this system. In this report an answer will be given to the question whether it is possible to synchronise two chua's circuits. The two chua's circuits will have different starting values and/or different values for the components.
First there will be looked at the history of chaos. After that the theory of the chua's circuit will be explained, with experimental results. When it is understood how the circuit works there will be explained to what extend the circuit is controlled and how it can be synchronised.
The Doppler EffectWhat is the Doppler effect, and why is it impo.docxcherry686017
The Doppler Effect
What is the Doppler effect, and why is it important to understand?
Sound
1. Describe what is meant by "sound." Explain how sound is created, transmitted, and sensed.
2. Set the source velocity (the Italian label reads Velocidad del emisor) to 0.0. Run the simulation (click the Empieza button). Calculate the frequency of the waves by counting the number of full waves that pass through a point in ONE second. You can press the Pausa and Continua buttons to step through the animation to pause and restart the wave motion.
3. The distance between numbered tick marks is 1 meter. Measure the wavelength using these tick marks. Use the wavelength and the frequency you calculated in number 2 to calculate the velocity of the wave.
The Doppler Effect in Sound
4. Now, set the source velocity (Velocidad del emisor) equal to 0.50. Run the simulation until the wave source (red rectangle) has moved close to the observer (blue rectangle). Calculate the new wavelength for the waves on each sideof the moving source? Count the tick marks in one full wave to make this calculation, knowing that each tick mark equals 0.2 meters.
5. Examine the motion of the waves. Has the frequency increased or decreased on each side of the source?
6. Use the equation x f = v, to calculate the frequency at a point on each side of the source. Remember that the velocity of the wave DOES NOT change (so use the velocity you calculated in #2). You will also use the wavelength you calculated for the wavelengths of the waves on each side of the source for #4.
7. Use the equations provided on page 2 of the Read section to calculate what the frequency actually should be on each side of the source (show your work below). Use this to see how accurate your answers in #6 were.
Electromagnetic Waves and Light
8. Summarize how electromagnetic waves are similar to acoustical (sound) waves. How are they different?
The Doppler Shift in Light
9. How is the Doppler shift used in astronomy? What is meant by the terms red-shift and blue-shift?
Summary (Homework)
10. Radar is a process that uses reflected electromagnetic waves in order to create an image of an object. Doppler radar (often used in weather) is used to tell the speed and direction clouds are moving. Explain how this might work. (Hint: Think about how radio waves might change when they reflect off of moving objects.)
11. Explain why the pitch of an object approaching an observer (such as a fire truck with its siren on) differs from the pitch as it moves away from the observer. Remember that pitch is the brain's interpretation of a sound's frequency.
12. Now answer the Focus Question. What is the Doppler effect, and why is it important to understand?
3. (10 pt) ASCII, Unicode, and EBCDIC are, of course, not the only numeric / character codes. The Sophomites from the planet Collegium use the rather strange code shown in the Figure below. T ...
Computer aided design of communication systems / Simulation Communication Sys...Makan Mohammadi
The report introduces how to use computer simulation in the design of physical layer transmission protocols that are too complex for a purely analytical approach. The goal of the report is to offer the theoretical and practical tools for performing modeling, analysis, and design of the physical level of wireless transmission systems including cellular and personal communication systems, satellite systems and radio relay links. This course is useful for telecommunication systems designers, ICT researchers and experts in the development and design of telecommunication physical layer protocols.
Francesca Gottschalk - How can education support child empowerment.pptxEduSkills OECD
Francesca Gottschalk from the OECD’s Centre for Educational Research and Innovation presents at the Ask an Expert Webinar: How can education support child empowerment?
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdfTechSoup
In this webinar you will learn how your organization can access TechSoup's wide variety of product discount and donation programs. From hardware to software, we'll give you a tour of the tools available to help your nonprofit with productivity, collaboration, financial management, donor tracking, security, and more.
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
How to Make a Field invisible in Odoo 17Celine George
It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
Biological screening of herbal drugs: Introduction and Need for
Phyto-Pharmacological Screening, New Strategies for evaluating
Natural Products, In vitro evaluation techniques for Antioxidants, Antimicrobial and Anticancer drugs. In vivo evaluation techniques
for Anti-inflammatory, Antiulcer, Anticancer, Wound healing, Antidiabetic, Hepatoprotective, Cardio protective, Diuretics and
Antifertility, Toxicity studies as per OECD guidelines
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
A Strategic Approach: GenAI in EducationPeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
Digital Tools and AI for Teaching Learning and Research
Ecet 345 Massive Success / snaptutorial.com
1. ECET 345 Week 1 Homework
For more classes visit
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ECET 345 Week 1 Homework
1.Express the following numbers in Cartesian (rectangular) form.
2.Express the following numbers in polar form. Describe the quadrant of
the complex plane, in which the complex number is located.
3.(a) A continuous-time sine wave has a frequency of 60 Hz, an
amplitude of 117 V, and an initial phase of π/4 radians. Describe this
signal in a mathematical form using the Sin function.
4. A sinusoidal signal described by 50 Cos (20πt + π/4) passes through a
linear time invariant (LTI) system that applies a gain of 1.5 and a phase
lag of π/2 radians to the signal. Write the mathematical expression that
describes the signal that will come out of the LTI system.
5.A sinusoidal signal described by 20 Cos (2πt + π/4) passes through a
linear time invariant (LTI) system that applies a gain of 2 and a time
delay of 0.125 seconds to the signal. Write the mathematical expression
that describes the signal that will come out of the LTI system.
6. Apply the principle of superposition to determine whether the
following systems are linear. Sketch what the plot of the function looks
like.
2. 7. A continuous time system, described by y(t) = 5 Cos (2*π*20*t +
π/2), is sampled at a rate 320 Hz.
8. Sketch the odd and even part of the following discrete signal. (See
pages 13–14 of the text.)
9. Express the signal given in Problem 8 as the sum of the following
**********************************************************
ECET 345 Week 1 iLab Observation of Wave-
Shapes and Their Spectrum
For more classes visit
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Objective of the lab experiment:
The objective of this experiment is to observe the shapes of different
kinds of signals such as sine waves, square waves, and so on and to
study how the shape of a signal alters its spectrum.
3. **********************************************************
ECET 345 Week 1 Lab Signal Observation And
Recreation
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Objective:
Using a Tower system and supplied HCS12-based program,
experimentally observe the closest equivalent of four key signals
(impulse, sinusoidal, exponential, and square wave) on the oscilloscope
and then create them in MATLAB.
Equipment list:
• Tower System with ADCDAC board
• Oscilloscope
• Three BNC to alligator
• One PC running CodeWarrior 5.9
• MATLAB
• 2.0 mm flathead screwdriver
4. ECET 345 Week 1 Lab
1. How does an experimental approximation of an impulse differ from
an ideal impulse?
2. A step input is applied to the following circuit at time t = 0. What
will the output waveform look like? What is the significance of the time
constant for the circuit? How will the observed waveform change as the
value of capacitor is increased?
3. How does a sine wave differ from a cosine wave?
4. With the knowledge you gained in the theory section, how can an
exponentially growing sinusoid be generated? Can a physical system
generate an exponentially growing sinusoid?
5. In finance, what does the growth curve of a compound interest
savings account look like over time
6. Create a MATLAB code that generates an amplitude modulated (AM)
signal with a 1 Hz information frequency and a 100 Hz carrier
frequency, with the carrier amplitude equal to 1.0 and the information
frequency amplitude equal to 0.9. The general form of an AM signal is
where Ac is the amplitude of the carrier, Ai is the amplitude of the
information signal, ωi is the frequency of the information signal in
radians/second, ωc is the frequency of the carrier signal in
radians/second, and t is time. Plot the graph over the time period of 0 to
2 seconds. Give meaningful labels to the X and Y axis as well as a title
to the graph
7. Take the signal generated in the previous question and find the signal
spectrum using the tools you have learned in earlier labs. Paste the signal
spectrum and code below. (Hint: Use the method of finding the signal
5. spectrum of a signal that was shown in Lab 1.) Give meaningful labels
to the X and Y axis as well as a title to the graph.
**********************************************************
ECET 345 Week 2 Homework
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ECET 345 Week 2 Homework
1.Redraw the following schematics with the impedance of each of the
element shown in Laplace domain. Then determine the overall
impedance of the entire circuit between the two ends of the shown
circuit and express it in Laplace domain as a ratio of two polynomials in
s, with the coefficients of the highest power if s in the numerator and
denominator are made unity. (Follow the method outlined in the lecture
to determine the impedances of elements in Laplace domain and then
use the formulas for combining impedances in series and parallel.)
2. (a) Apply Laplace transform to the following differential equation and
express it as an algebraic equation in s.
6. 3. An RC circuit with an initial condition is shown below. The toggle
switch is closed at t = 0. Assuming that a current i(t) flows clockwise in
the circuit, Write the integral equation that governs the behavior of the
circuit current and solve it for the current in the circuit i(t) and voltage
across the capacitor as a function of time using Laplace transforms. Note
the polarity of the initial condition as marked in the figure. (Take help
from the document “Solving RC, RLC, and RL Circuits Using Laplace
Transforms” (located in Doc Sharing) and the Week 2 Lecture to see
how initial conditions are entered in Laplace domain.)
4. The voltage in a circuit, expressed in Laplace domain, is given by the
questions below.
5.An RLC circuit is shown below. There is an initial voltage of 5 V on
the capacitor, with polarity as marked in the circuit. The switch is closed
at t = 0 and a current i(t) is assumed to flow clockwise. Write the
integral-differential equation of this circuit using Kirchoff’s method
(sum of all voltages around a loop is zero). Apply Laplace transform as
outlined in the lecture for Week 2 and in the document “Solving RC,
RLC, and RL Circuits Using Laplace Transforms” (located in Doc
Sharing) and write i(s) in Laplace transform notation. Express the
denominator with the coefficient of the highest power of s unity. Then
invert to obtain the current in time domain, i(t).
**********************************************************
ECET 345 Week 2 iLab Response of RC circuits
7. For more classes visit
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Objective of the lab experiment:
The objective of this experiment is to experimentally measure the
impulse and step response of an RC circuit and compare it to theoretical
results using Laplace transform.
**********************************************************
ECET 345 Week 3 Homework
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ECET 345 Week 3 Homework
The transfer function of a circuit is given by
Express the transfer function in a form in which the coefficients of the
highest power ofs are unity in both numerator and denominator.
8. What is the characteristic equation of the system? (Hint: see this week’s
lecture for a definition of characteristic equation.)
Determine the order of the transfer function.
Determine where the poles and zeroes of the system are located.
____________
Using MATLAB, plot the pole zero map and the Bode plot of the two
transfer functions and paste the graphs below. Identify and briefly
discuss the differences between the Bode plot of the two transfer
functions.
**********************************************************
ECET 345 Week 3 Lab Transfer Function
Analysis Of Continuous Systems
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ECET 345 Week 3 Lab Transfer Function Analysis of Continuous
Systems
9. Objective of the lab experiment:
The objective of this experiment is to create continuous (s domain)
transfer functions in MATLAB and explore how they can be
manipulated to extract relevant data.
We shall first present an example of how MATLAB is used for s
(Laplace) domain analysis, and then the student shall be required to
perform specified analysis on a given circuit.
**********************************************************
ECET 345 Week 4 Homework
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ECET 345 Week 4 Homework
1. A shiny metal disk with a dark spot on it, as shown in figure below,
is rotating clockwise at 100 revolutions/second in a dark room. A human
observer uses a strobe that flashes 99 times/second to observe the spot
on the metal disk (a strobe is a flashing light whose rate of flashing can
be varied). The spot appears to the human observer as if it is rotating
slowly
10. 2. (a) A system samples a sinusoid of frequency 480 Hz at a rate of 100
Hz and writes the sampled signal to its output without further
modification. Determine the frequency that the sampling system will
generate in its output.
3. The spectrum of an analog signal is shown below, containing . Such a
signal is sampled by an ideal impulse sampler at a 100 Hz rate. List the
first 10 positive frequencies that will be produced by the replication.
(Hint: Follow the method outlined in the lecture for spectrum replication
of sampled signals.)
4. The spectrum of an analog signal is shown below. It is sampled, with
an ideal impulse sampler, at a rate of 200 Hz
5. Determine the Z transform of the signal,, shown below using the basic
definition of Z transform . All values not shown can be assumed to be
zero.
6. a) A simulation diagram is shown below. Determine the difference
equation associated with the diagram.
7. An analog signal is given by f(t) = t (i.e., it increases linearly with
time and is thus is a unit ramp.) It is convolved with a second signal,
g(t), which is of the form g(t) = 1 (i.e., it has a constant value of 1 or is a
unit step function). The two signals are shown below.
**********************************************************
11. ECET 345 Week 4 iLab Part 1 RC Circuit
Frequency Response
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Objective of the lab experiment: The objective of this experiment is to
experimentally measure the frequency response of a simple RC circuit
using Multisim and observe how changing R and C will affect the
outcome.
**********************************************************
ECET 345 Week 4 iLab Part 2 Experimental
Observation of Aliasing
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12. Objective of the lab experiment:
The objective of this experiment is to observe the effect of aliasing in a
discrete sampling system and to measure how aliasing alters the
frequency of an input signal that is beyond the Nyquist limit. This lab
can also be used to quantitatively and qualitatively observe the effect of
an antialiasing filter, even though we do not do so in this exercise.
**********************************************************
ECET 345 Week 5 Homework
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1.Using z-transform tables (page 776 of text or equivalent), find the z-
transform of
2.Find the inverse z-transform, x(n), of the following functions by
bringing them into a form such that you can look up the inverse z-
transform from the tables. This will require some algebraic and /or
trigonometric manipulation/calculation. You will also need a table of z-
transforms (page 776 of text or equivalent). When computing the value
13. of trigonometric functions, keep in mind that the arguments are always
in radians and not in degrees.
3.Find the first seven values (i.e., x(n) for n = 0 to 6) of the function
given below.
Hint: Manually calculate the three parts separately for various values of
n and add or subtract them point by point for various values of n. For
example, for n = 2 equals 2 * 2 * 1 (or 4); for n = 5 equals 2 * u(2) or 2
* 1 = 2; and so on. Also keep in mind that u(n - k) is a unit step function
delayed byksamples, and hence it will be zero for all values of (n - k),
which are negative and 1 otherwise.
4.The simulation diagram of a discrete time system is shown below.
Find the first six output (y(0) to y(6)) of the system when an input x(n) ,
as computed in problem 3, is applied to the discrete time system.
**********************************************************
ECET 345 Week 5 iLab Convolution of Signals
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Objective of the lab experiment:
14. The objective of this experiment is to demonstrate how the convolution
is used to process signals entering a system.
**********************************************************
ECET 345 Week 6 Homework
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ECET 345 Week 6 Homework
1.Find the z-transform x(z) of x(n) = . Hint: Follow the method used in
the lecture for Week 6. Also, when evaluating the numerical value of a
trig function, keep in mind that the arguments of trig functions are
always in radians and not in degrees.
2. Find the system transfer function of a causal LSI system whose
impulse response is given by and express the result in positive powers of
z. Hint: The transfer function is just the z-transform of impulse response.
However, we must first convert the power of -0.5 from (n - 1) to (n - 2)
by suitable algebraic manipulation.
3. Express the following signal, x(n), in a form such that z-transform
tables can be applied directly. In other words, write it in a form such that
15. the power of 0.25 is (n-1) and the argument of sin is also expressed with
a (n-1) multiplier.
4. The transfer function of a system is given below. Find its impulse
response in n-domain. Hint: First expand using partial fraction
expansion and then perform its inversion using z-transform tables
5. The transfer function of a system is given by
6. A simulation diagram is shown below. We apply a unit impulse to
such a system. Determine the numerical values of the first three outputs.
You are free to use MATLAB where appropriate or do it entirely by
hand.
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ECET 345 Week 6 iLab Z-Domain Analysis of
Discrete Systems
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Objective of the lab experiment:
16. The objective of this experiment is to perform z domain analysis of
discrete (sampled) signals and systems and extract useful information
(such as impulse and step response, pole zero constellation, frequency
response, etc.) from a z domain description of the system, such as its
transfer function. We shall also study conversion of analog transfer
functions (in s domain) into equivalent z domain transfer functions using
bilinear transform.
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ECET 345 Week 7 Homework
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1.A sine wave of 60 Hz, amplitude of 117 V, and initial phase of zero
(or 117 sin(2π*60t) is full wave rectified and sampled at 2,048 samples
per second after full wave rectification. Research the Fourier series for a
full wave rectified sine wave (on the Internet or in circuit theory books,
such as Linear Circuits by Ronald E. Scott) and write it below.
Then write a MATLAB program that samples and stores 4,096 points of
full wave rectified sine wave and performs Fourier analysis (FFT) of the
full wave rectified sine wave on the stored points.
17. Plot the results in both linear and log scale (in two separate figures) and
extract the amplitude of the DC component and the first four harmonics
(first , second, third, and fourth multiple of the fundamental frequency)
of the Fourier analysis, then enter them in the table given below. The DC
component is given by the first number in the Fourier analysis. Hint:
Full wave rectification can be achieved in MATLAB simply by taking
the absolute value (abs command) of the sine wave.
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ECET 345 Week 7 iLab Fourier Analysis of
Time Domain Signals
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Objective of the lab experiment:
The objective of this experiment is to perform Fourier analysis to obtain
frequency domain signature of signals and systems that are measured or
whose characteristics are known in time domain. Towards this end, we
shall learn how to use Fourier transform to obtain Bode plots of systems
18. from time domain data passing through the system. We shall also learn
the equivalence of convolution operation in time domain with
multiplication operation in frequency domain.
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