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Assignment 1 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 1(Individual)

Assessment Title Image Decimation and Interpolation Using Discrete Transforms

Unit Learning Outcomes covered in this assessment

a., c., d.

Weight 10%

Total Marks 100

Word/page limit 10

Release Date Week 4

Due Date Week 8

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 Calibri (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.

© MIT/SITE | ME606 Digital Signal Processing Laboratory Exercise 4 Page 2 of 4

ME606 Assessment 1

1 Introduction The objective of this assessment is for each student to undertake investigative review of literature and

study the techniques for image analysis using a discrete transform. A significant number of discrete

transforms may be used for image analysis including the discrete cosine, discrete sine, discrete Fourier

transform, Walsh and Hadamard transforms. This assessment is limited to the application of only one

of these transforms.

2 Part A: Review of Image Decimation and Interpolation

Algorithms The techniques a.k.a. algorithms for image and video analysis are well published and investigated by

engineers. Image analysis find applications in mobile communication devices (eg. handsets), the

Internet and in normal mobile communication services. To understand how discrete transforms are

used for the specific process of image size reduction (size reduction) and expansion (interpolation),

undertake a detailed review of algorithms for image interpolation using the following transforms:

Discrete cosine transform (DCT) and fast Fourier transform (FFT). You will find a reasonable number

of good publications in the IEEEXplore in the Library. Describe the methods using the DCT and FFT.

Compare and contrast the various methods in use in a written report of not less than four (4) A4 pages

with single line spacing length. Do not use the Wikipedia for this assessment.

3 Part B: Image Decimation and Interpolation Using Matlab Through your review of image interpolation and decimation algorithms in journal articles, undertake

the analysis specified below and provide a written report. Add this report to Part A report and include

how you decimated and interpolated your image using the discrete cosine transform.

Matlab provides functions and commands which allow you to decimate and interpolate images.

Discrete cosine transform (DCT) is in many ways similar to the fast Fourier transform with one major

exception. The DCT provides real coefficients as outputs while the FFT coefficients are complex

numbers. The following equation describes the forward DCT for an image in one dimension:

   1

0

1 22 cos

N

n

n

n k X k x

N N





    

  

Where n

x are pixels taken from an image and N is the number of pixels being transformed. There are

various forms of the DCT and you should identify and review them too. Since an image is a two-

dimensional matrix consisting of rows and columns, the DCT need to be applied row and column wise.

© MIT/SITE | ME606 Digital Signal Processing Laboratory Exercise 4 Page 3 of 4

It does not matter if you undertake the DCT along the rows first or along the columns first, the results

will be the same.

a) Perform the DCT of the image given to you (use Matlab). Show your algorithm and its Matlab source

code. Decimate the image by half by keeping only the first quarter of the two-dimensional coefficients

returned by Matlab and display the interpolated image in your report. You will be required to

demonstrate how this code runs to your unit lecturer and tutor in class.

b) Show how you will use the inverse DCT for interpolation to give an output image of the same size

as the input image. The decimated image and the interpolated image should be visibly displayed in

your report. Compare the original full-size and the interpolated images and comment on your results.

What are the major advantages and disadvantages for interpolating images using the DCT method?

4 Format of Report Your report should be in three parts: Part I, literature review report; Part II (Decimation) of your image

showing that your Matlab code works and Part III (Interpolation) of the decimated image showing the

algorithm used and the Matlab code as well. Your report should have a reference list at the end of the

report. The report should not be more than 10 A4 pages long (11 point font size using Calibri font

type).

Marking criteria Part I, II and III: Marks are allocated as follows:

Section to be

included in the report

Description of the section Marks

Literature Review Review analysis of image decimation and interpolation using

discrete transforms and Fourier transform

30

Image decimation Working Matlab code for image decimation, demonstration of

working code and presentation

25

Image interpolation Working Matlab code for image decimation demonstration of

working code and presentation

25

Reference style Correct IEEE referencing 10

Poor writing Poor writing style, not putting captions and figure numbers, not

numbering equations, copy and pasting of figures without

referencing them, inability to explain concepts, wrong grammar

and typographical errors will lead to loss of marks.

10

Plagiarism Type of plagiarism

- Copying of Matlab codes

- Copy of other peoples works and journal articles

- Contract cheating

-100%

© MIT/SITE | ME606 Digital Signal Processing Laboratory Exercise 4 Page 4 of 4

Marking Rubric 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

references.

Clear referencing/ style Generally good

referencing/style

Unclear

referencing/style

Lacks consistency

with many errors

Report structure

and report

presentation

Proper writing.

Professionally

presented

Properly written, with

some minor

deficiencies

Mostly good, but

some structure or

presentation

problems

Acceptable

presentation

Poor structure,

careless presentation

The End