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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. – PowerPoint PPT presentation

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Title: ECET 345 Innovative Education--snaptutorial.com


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ECET 345 Innovative Education--snaptutorial.com
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ECET 345 Innovative Education--snaptutorial.com
ECET 345 Week 1 Homework For more classes
visit www.snaptutorial.com   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 p/4 radians. Describe this signal in a
mathematical form using the Sin function.
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ECET 345 Innovative Education--snaptutorial.com
ECET 345 Week 1 iLab Observation of Wave-Shapes
and Their Spectrum For more classes
visit www.snaptutorial.com   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.
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ECET 345 Innovative Education--snaptutorial.com
ECET 345 Week 1 Lab Signal Observation And
Recreation For more classes visit www.snaptutori
al.com   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
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ECET 345 Innovative Education--snaptutorial.com
ECET 345 Week 2 Homework For more classes
visit www.snaptutorial.com   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.)
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ECET 345 Innovative Education--snaptutorial.com
ECET 345 Week 2 iLab Response of RC circuits
For more classes visit www.snaptutorial.com   Obj
ective 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.
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ECET 345 Innovative Education--snaptutorial.com
ECET 345 Week 3 Homework For more classes
visit www.snaptutorial.com   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. What is the characteristic equation
of the system? (Hint see this weeks lecture for
a definition of characteristic equation.)
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ECET 345 Innovative Education--snaptutorial.com
ECET 345 Week 3 Lab Transfer Function Analysis Of
Continuous Systems For more classes
visit www.snaptutorial.com   ECET 345 Week 3 Lab
Transfer Function Analysis of Continuous
Systems 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.
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ECET 345 Innovative Education--snaptutorial.com
ECET 345 Week 4 Homework For more classes
visit www.snaptutorial.com   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
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ECET 345 Innovative Education--snaptutorial.com
ECET 345 Week 4 iLab Part 1 RC Circuit Frequency
Response For more classes visit www.snaptutorial
.com   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.  
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ECET 345 Innovative Education--snaptutorial.com
ECET 345 Week 4 iLab Part 2 Experimental
Observation of Aliasing For more classes
visit www.snaptutorial.com   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.
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ECET 345 Innovative Education--snaptutorial.com
ECET 345 Week 5 Homework For more classes
visit www.snaptutorial.com   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 of
trigonometric functions, keep in mind that the
arguments are always in radians and not in
degrees.
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ECET 345 Innovative Education--snaptutorial.com
ECET 345 Week 5 Homework For more classes
visit www.snaptutorial.com   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 of
trigonometric functions, keep in mind that the
arguments are always in radians and not in
degrees.
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ECET 345 Innovative Education--snaptutorial.com
ECET 345 Week 5 iLab Convolution of Signals For
more classes visit www.snaptutorial.com   Objectiv
e of the lab experiment The objective of this
experiment is to demonstrate how the convolution
is used to process signals entering a system.
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ECET 345 Innovative Education--snaptutorial.com
ECET 345 Week 6 Homework For more classes
visit www.snaptutorial.com   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.
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ECET 345 Innovative Education--snaptutorial.com
ECET 345 Week 6 iLab Z-Domain Analysis of
Discrete Systems For more classes
visit www.snaptutorial.com   Objective of the lab
experiment 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 Innovative Education--snaptutorial.com
ECET 345 Week 7 Homework For more classes
visit www.snaptutorial.com   1.A sine wave of 60
Hz, amplitude of 117 V, and initial phase of zero
(or 117 sin(2p60t) 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.
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ECET 345 Innovative Education--snaptutorial.com
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