T3 2018: ME502 Assignment 1
Assessment Details and Submission Guidelines
Unit Code ME502
Unit Title Digital Communications
Assessment Type Individual Assessment
Assessment Title Analyzing Digital Communications Principles & Systems Both Manually and
Using MATLAB/Simulink
Purpose of the
assessment
(Unit’s Learning
Outcomes
covered, ULO)
ULO b: Apply and evaluate the principles used in the generation, transmission and
eception of digitally modulated signals.
ULO c: Report on the characteristics of sampling and analogue to digital conversion
and source coding.
ULO f: Apply the techniques of, and report on, digital communication applications
using Matlab and hardware devices.
Weight 10%
Total Marks 60
Word limit 1400
Due Date Week 7, Tuesday, 2nd January 2019, 11:55 pm
Submission
Guidelines
• All work must be submitted on Moodle by the due date along with a
completed Assignment Cover Sheet.
• The report will be automatically checked by Turnitin embedded on Moodle.
By submitting on MOODLE you agree that the work is yours unless
properly cited.
• The assignment must be in MS Word format, 1.5 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 assignments 1 to 5 days late, a penalty of 10% (of total available marks)
per day.
• For assignments more than 5 days late, a penalty of 100% will apply.
Extension If an extension of time to submit work is required, a Special Consideration
Application must be submitted directly to the School's Administration Officer, in
T3 2018: ME502 Assignment 1
Melbourne on Level 6. 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
efer to the Academic Integrity Section in your Unit Description.
Marking Criteria
The following shall be used to grade your submissions.
Content
Knowledge
60%
Ability to
Communicate
20%
Academic
Discourse Skills
10%
Basic Language
Skills 10%
5 Student
demonstrates
outstanding
understanding
and content
knowledge
eyond the
scope required
y the
assignment task.
The Lecturer
understands the
content
completely; if
there are any
mistakes they
do not interfere
with the
meaning.
There is a clear
logical
argument, with
the points well
ordered and
fully supported.
It responds
appropriately to
the question
asked.
Pleasingly
oad range of
sentence
structure and
vocabulary is
used. Digital
communications
terminology is
used co
ectly.
4 Student
demonstrates
sound basic
knowledge and
understanding
of the relevant
subject matter.
Lecturer
understands the
content,
although some
sections need to
e read more
than once.
The answer
esponds more
or less to the
question asked.
The use of
supporting
evidence,
illustration and
argument is
elevant but not
There is a good
ange of
sentence
structure and
terminology
with a number
of minor e
ors
in word
formation or
spelling.
http:
www.mit.edu.au/about
http:
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
T3 2018: ME502 Assignment 1
necessarily
sufficient.
3 Student exhibits
adequate basic
knowledge of
the topic area.
Lecturer mostly
understands the
content, despite
occasional
difficulty.
A point of view
is presented, but
it is not always
clear. Attempts
to include
supporting
evidence,
illustration or
argument are
made.
While there are
noticeable
language e
ors,
these do not
significantly
interfere with
the lecturer
understanding
the content.
2 The student’s
apparent
knowledge and
understanding
of relevant
content is
limited.
Lecturer has
difficulty
understanding
the content,
although there
are signs of
meaning
eaking
through.
The argument
does not
progress
smoothly. Main
points and
supporting
material are not
clearly
distinguished
from each other.
The range of
steps expressed
co
ectly is
limited. E
ors
in terminology,
grammar, word
choice, word
formation and
spelling cause
difficulty for the
marker.
1 Student shows
little evidence
of knowing the
elevant
content.
The marker can
hardly
understand the
content of the
submitted
eport.
The ideas or
facts presented
have little
apparent
elation to each
other or to the
question asked.
E
ors in
sentence
structure,
terminology,
word choice,
word forms and
spelling
predominate
and prevent
communication.
0 1. The answer is copied or substantially copied from materials or other
sources (plagiarism).
2. No relevant attempt has been made by student to solve the questions.
T3 2018: ME502 Assignment 1
Objectives of the assignment:
This assignment seeks to fulfill the unit’s learning outcomes b-e stated on Page 1 of this
document and found in the unit description. The assignment
Question 1: Digital Baseband Data Generation and Transmission
We seek to transmit the message ME502 Unit using baseband digital M-ary PAM signaling,
where M=16. As the transmission system is not ideal, we need to protect the bits using just a
single-bit odd parity encoding for e
or detection. The process is that we convert each of the
characters in the message into its equivalent 8-bit ASCII code, then partition the bitstream into
log2(16)-bit segments streams (called symbols), then use each symbol to modulate a pulse to
form the M-PAM signal prior to transmission.
(a) Encode the message into a series of bits using 8-bit ASCII encoding (including the odd-
parity bit). Counting from the left side, the eighth bit in each character is the parity
coding bit.
(b) How many bits in total are in the message?
(c) Divide the bit string into m= log2(16)-bit segments. Each of the m-bit segment is a
symbol of 16-PAM. How many symbols do you get altogether?
(d) Evaluate the gross bit rate (Rb) and symbol rate (RS) of the 16-PAM system if we
transmit the entire e
or-protected message in 8 microseconds.
(e) Determine the effective bit rate (Rb) and symbol rate (RS) of the 16-PAM system if we
transmit the entire e
or-protected message in 8 microseconds
(f) Draw the signal constellation diagram of the M-PAM system, using d as a parameter.
Question 2: ISI and Design of Equalizers
Combating inter-symbol interference (ISI) is one of the challenges in digital communications
systems. Assume that the impulse response of the transmission medium between the transmitter
and the receiver is p(t). The sampled impulse response is p[n], where n=t/T and T is the
sampling period (or symbol duration). Then, ISI-free transmission require that
T3 2018: ME502 Assignment 1
otherwise ,0
0,1 t
ttp , t where is refe
ed to as dirac impulse function. In practical
situations the transmission medium is not ISI-free. This is the reason why we need equalizing
filters. Assume that the sampled impulse response of the channel is
XXXXXXXXXX nnnnp
(a) Derive the expression for the transfer function of the 3-tap linear equalizer which forces
the ISI caused by this transmission medium to zero.
(b) Derive the expression for the impulse response of the 3-tap ZF-LE designed in Part (a).
(c) Verify that the ZF-LE that you have designed in Parts (a) and (b) actually mitigates the
ISI in the channel.
(d) Does the ZF-LE cancel the entire ISI in the system? If not, how can you improve the
ability of the ZF-LE to suppress the ISI?
Question 3: Digitization of signals
Consider the analog signal 4200cos5500sin5 ttts to be transfe
ed over a
digital communications system.
(a) Compute the maximum allowable sampling period that the analog-to-digital converter
(ADC) must use to ensure the perfect reconstruction of the signal at the receiver.
(b) What theorem governs the choice made in part (a)?
(c) How many samples of the analog signal do we need to store in order to reproduce 10
seconds of it (i.e., the analog signal)?
(d) Use MATLAB code to verify whether or not the samples collected can be used to
uniquely reproduce the analog signal.
The End