Assignment 2 and Submission Guidelines
School School of Information Technology and Engineering
Course Name Master of Engineering (Telecommunications)
Unit Code ME606
Unit Title Digital Signal Processing
Assessment
Author
A/Prof Johnson I Agbinya
Assessment Type Assignment 2 (Individual)
Assessment Title z-Transforms, Filters and Multirate Signal Processing Concepts
Unit Learning
Outcomes covered
in this assessment
a., b, c., e.
Weight 15%
Total Marks 100
Word/page limit
Release Date Week 8
Due Date Week 12 (Wednesday June 6 at 5.0pm) – Moodle will close after 5.0pm
Submission
Guidelines
All work must be submitted on Moodle by the due date along with a completed
Assignment Cover Page.
The assignment must be in MS Word format, single line spacing, 11-pt Cali
i
(Body) font and 2 cm margins on all four sides of your page with appropriate
section headings.
Reference sources must be cited in the text of the report, and listed appropriately
at the end in a reference list using IEEE referencing style for School of Business and
School of Information Technology and Engineering respectively.
Extension If an extension of time to submit work is required, a Special Consideration
Application must be submitted directly through the AMS. You must submit this
application three working days prior to the due date of the assignment. Further
information is available at:
http:
www.mit.edu.au/about-mit/institute-publications/policies-procedures-
and-guidelines/specialconsiderationdeferment
Academic
Misconduct
Academic Misconduct is a serious offence. Depending on the seriousness of the
case, penalties can vary from a written warning or zero marks to exclusion from
the course or rescinding the degree. Students should make themselves familiar
with the full policy and procedure available at: http:
www.mit.edu.au/about-
mit/institute-publications/policies-procedures-and-guidelines/Plagiarism-
Academic-Misconduct-Policy-Procedure. For further information, please refer to
the Academic Integrity Section in your Unit Description.
http:
www.mit.edu.au/about
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www.mit.edu.au/about
http:
www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/special-considerationdeferment
http:
www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/special-considerationdeferment
http:
www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/special-considerationdeferment
http:
www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/special-considerationdeferment
http:
www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/special-considerationdeferment
http:
www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/special-considerationdeferment
http:
www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/special-considerationdeferment
http:
www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/special-considerationdeferment
http:
www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/special-considerationdeferment
http:
www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/special-considerationdeferment
http:
www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/special-considerationdeferment
http:
www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/special-considerationdeferment
http:
www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/Plagiarism-Academic-Misconduct-Policy-Procedure
http:
www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/Plagiarism-Academic-Misconduct-Policy-Procedure
http:
www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/Plagiarism-Academic-Misconduct-Policy-Procedure
© MIT/SITE | ME606 Digital Signal Processing Assignment 2 Page 2 of 4
ME606 Assessment 2
1 Introduction
The objective of this assessment is for each student to demonstrate understanding of the contents of
lecture materials in the unit by applying the principles and concepts in lecture notes. Concepts covered
y this assignment include z-transforms, system stability, impulse response of a filter and multirate
signal processing concepts including down-sampling and up-sampling.
2 Questions
A digital system is given by the following transfer function:
2
1
0.5
z
H z
z z
1) Calculate the zero(s) and pole(s) of the transfer function
2) Provide the zero(s) and pole(s) in polar form.
3) Plot the poles and zeros using the z-plane
4) Is the system stable or unstable? Why?
5) Determine the system equation in the form of
1 1
n m
i j
i j
y n a y n i b x n j
This means clearly give the values of
ia and jb , n and m for 1 i n and 1 j m
6) Sketch the magnitude of the frequency response of the system between 0 and 2
7. Suppose the above transfer function is a filter, what type of filter is it?
8. Is the filter a low-pass, high-pass, band-pass, band-stop or all-pass?
9. Sketch a block diagram for implementing this system
10. Determine the impulse response h[n] of the causal system (note: the input x[n] is a unit
impulse)
11. Down-sample the system in the time domain by factor L=2
12. Up-sample the system in the time domain by factor M=2
3 Format of Report
Your report should be typed using a suitable equation editor. Hand written reports will not be given
zero marks. Explain your results and give reasons for your answers.
© MIT/SITE | ME606 Digital Signal Processing Assignment 2 Page 3 of 4
Marking criteria
Marks are allocated as follows:
Section included in
the report
Marks
1 3
2 3
3 2
4 3
5 5
6 5
7 2
8 2
9 5
10 5
11 5
12 5
Total 45
Marking Ru
ic for Exercise Answers
Grade
Mark
HD
80%+
D
70%-79%
CR
60%-69%
P
50%-59%
Fail
50%
Excellent Very Good Good Satisfactory Unsatisfactory
Evaluation
Logic is clear and easy
to follow with strong
arguments
Consistency logical and
convincing
Mostly consistent
and convincing
Adequate cohesion and
conviction
Argument is
confused and
disjointed
Sophistication and
effectivity
The presented solution
demonstrated an
extreme degree of
sophistication
The presented solution
demonstrated a high
degree of sophistication
The presented
solution
demonstrated an
average degree of
sophistication and
effectivity to
secure
The presented solution
demonstrated a low
degree of sophistication
and effectivity to secure
The presented
solution
demonstrated a poor
degree of
sophistication and
effectivity to secure
Explanation
All elements are
present and well
integrated.
Components present
with good cohesion
Components
present and mostly
well integrated
Most components
present
Lacks structure.
Reference style
Clear styles with
excellent source of
eferences.
Clear referencing/ style
Generally good
eferencing/style
Unclear
eferencing/style
Lacks consistency
with many e
ors
Report structure
and report
presentation
Proper writing.
Professionally
presented
Properly written, with
some minor
deficiencies
Mostly good, but
some structure or
Acceptable
presentation
Poor structure,
careless presentation
© MIT/SITE | ME606 Digital Signal Processing Assignment 2 Page 4 of 4
presentation
problems
The End