Consider a casual system with input x[n]and output y[n]. If the input is given by x[n]=3^(1-n) u[n]-4^(n+1) u[-n-1], The output has a z-transform given by Y(z)=(1+z^(-1)-z^(-2))/(1-1/3 z^(-1) )(1-4z^(-1) ) Determine the z-transform of the input x[n]. (10 Marks)

Represent a signal in a discrete time form and to be able to understand how to process it;
Characterize a DT system in DSP and its transfer function;
Analyze the system in Time plane, Z plane and frequency plane;
Guidelines:
Please add front title page with your answers uploaded on Moodle.
Each question carries 20 marks.
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Date of submission 26.12.2016
* Refer to the MIG for MEC policy on academic integrity and late submission.
1. Consider a casual system with input x[n]and output y[n]. If the input is given by
x[n]=3^(1-n) u[n]-4^(n+1) u[-n-1],
The output has a z-transform given by
Y(z)=(1+z^(-1)-z^(-2))/(1-1/3 z^(-1) )(1-4z^(-1) )
Determine the z-transform of the input x[n]. (10 Marks)
Find all possible choices for the impulse response of the system. (10 Marks)
2. In an image processing application a digital signal processing system is represented by
y(n)=med{x(n-3),x(n-2),x(n-1),x(n),x(n+1),x(n+2),x(n+3)}; where the operation med{} is given by the algorithm: arrange values in the ascending order and the answer is the middle value. For eg: med(5,3,9}=5. Whether the system is
Causal (3 Mark)
Linear (10 Marks)
time invariant system (7 Marks)
Justify your answers.
3. Two causal filters having frequency response H1(?)=1/(1-0.5e^(-j?) ) and H2(?)= (sin2?/sin0.5? e^(-j1.5?) )^2 . Compute the coefficients of h (n) where h (n) is the inverse DTFT of H(?). Let H(?)=1/2p [H1(?)*H2(?)]. (20 Marks)
4. a. The basic radix-2 FFT algorithms based on decimation-in-time are indicated in the text, Figures 5 and 6. For each of these eight flow-graphs indicate whether or not each of the following properties is true or not with necessary justifications.
Represents an in-place computation
Input is in normal order
Output is in normal order
Coefficients should be stored in bit-reversed order
Accessing of the data is identical for every array. (10 Marks)
b. If x(n)=[1,2,3,2,1,0,1,2] calculate FFT using the flow graph given in Figure 5. (10 Marks)

Figure 5

Figure 6
5. Consider the given sequences:
m[n]=u[n]-u[n-6],
p[n]=d[n]+2d[n-2]+d[n-4],
h[n]=m[n]*p[n]
Determine and sketch the sequence h[n]. (7 Marks)
Determine and sketch the sequence r[n] such that r[n]*m[n]=?_(k=-8)^(n-1)¦h[k] , (6 Marks)
Is h[-n]=m[-n]*p[-n]? Justify your answer. (7 Marks)


 

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Discuss the pros and cons of Aaron Feuerstein’s decision making

Question
300-500 words

Review the following articles and video:

Was Aaron Feuerstein Wrong?

Putting people before profits: Classic PR case study, but without the fairytale ending

Answer the following questions regarding what you just read and watched:

Explain why Aaron Feuerstein felt his decisions were necessary for his company and for his employees.
Discuss the pros and cons of Aaron Feuerstein’s decision making, and explain if or how you would have handled his situation differently if you were in his shoes.
Apply virtue ethics and corporate social responsibility to his situation.
A minimum of 1 reference should be used to reinforce your thoughts. Be sure to include it both as an in-text citation and on your reference list at the end of your discussion post.


 

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Explain the identified changes to the suppliers in such a way that they will understand the standards that Apple requires in order to maintain their relationship with the company

Challenges in the Global Business Environment
Order Description
According to the textbook ongoing challenges in the global business environment are mostly attributed to unethical business practices failure to embrace technology advancements and stiff
competition among businesses. Apples Supplier Code of Conduct located at https://www.apple.com/supplier-responsibility/.
write a four (4) page paper in which you:
List specific changes that Apple has made to its Code of Conduct in recent years. Provide at least one (1) example of each change.
Explain the identified changes to the suppliers in such a way that they will understand the standards that Apple requires in order to maintain their relationship with the company.


 

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What are the implications of the global baby bust for marketers of consumer goods?

The Global Baby BustScenarioYour RoleKey PlayersAssignmentScenarioMost
people think that the world faces an overpopulation problem. But
Phillip Longman argues otherwise in his book The Empty Cradle. He warns
instead of a global baby bust. World population growth has fallen 40
percent since the late 1960s. The human population is expected to peak
at nine billion by 2070, and many countries will see their population
shrink long before that. Japan will have 49 retirees per 100 workers as
early as 2005. Falling birthrates mainly account for these
declines. Several factors contribute to the falling birthrates. Around
the world, more women are entering the workforce, and young people delay
raising a family in order to attain the higher levels of education
needed to compete in a global marketplace. However, a major reason for
falling birthrates is the high cost of raising a middle-class child in
an industrialized country—a cost estimated at more than $200,000
(exclusive of college tuition) in the United States. As
developing countries become more industrialized and urban, they too face
a high cost of raising children. In Mexico, where fertility rates have
declined precipitously, the population is aging five times faster than
it is in the United States. By 2050, Algeria could well see its average
age increase from 21.7 years to 40 years. One of the greatest declines
in population growth is occurring in China, where government policy has
long supported one child per family. It predicted that 60 percent of
China’s population could be over 60 years old by midcentury. A
nation may experience a “demographic dividend” when birthrates first
fall. More working-age citizens support fewer children, freeing up money
for consumption and investment. Many attribute the recent boom markets
in Asia, such as China and South Korea, to this demographic dividend.
However, as population growth continues to slow, the nation faces the
problem of supporting older populations. For example, by 2040, Germany’s
public spending on pensions will exceed 15 percent of the GNP, and
Italy’s working population is expected to plunge to 41 percent by 2050.
On a more positive note, a decline in terrorism is associated with an
aging populations. Longman points to the fact that Europe’s Red Guard, a
terrorist organization active in the 1970s, is now defunct.Is
immigration the answer for industrialized countries? To sustain its
current ratio of workers to retirees over time, the United States would
need to absorb almost 11 million immigrants a year. Such an influx would
require building the equivalent of another New York City every ten
months. By 2050, 73 percent of the U.S. population would be immigrants
or descendants of immigrants who arrived since 1995. However, before
this occurs, a potential political backlash against immigrants could
materialize. Supply is a problem also. Puerto Rico—once a
major source of immigration to the United States—no longer provides a
net flow of immigrants to the United States despite its lower standard
of living and free access to the United States. In addition, the United
States would have to compete with Europe for immigrants from the
developing world. In fact, to sustain its current age structure, even
South Korea would have to bring over six million immigrants by 2050.Your RoleYour role is to consider the following: 1. What are the implications of the global baby bust for marketers of consumer goods? 2. What are the implications of the global baby bust for marketers who sell to governments? 3. Why do you think entrepreneurship in a nation declines as its population ages? How could this impact global marketing? 4. How does the global baby bust affect the relative attractiveness of different national markets?Given the scenario, your role and the information provided by the key players involved, it is time for you to make a decision. If
you are finished reviewing this scenario, close this window and return
to this Week’s You Decide tab, in eCollege, to complete the activity for
this scenario. You can return and review this scenario again at any time.AssignmentPrepare
a written response to the questions following the You Decide
assignment. The length of this case study should be 2-3 pages, double
spaced. Spell check your work before turning it in and remember to
submit your assignment in the DropBox. The written assignment should
address the following:What are the implications of the global baby bust for marketers of consumer goods?What are the implications of the global baby bust for marketers who sell to governments?Why do you think entrepreneurship in a nation declines as its population ages? How could this impact global marketing?How does the global baby bust affect the relative attractiveness of different national markets?Prepare
a written response to the questions following the You Decide
assignment. The length of this case study should be 2-3 pages, double
spaced. Spell check your work before turning it in and remember to
submit your assignment in the DropBox. The written assignment should
address the following:


 

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