Write a matlab function entropy to compute the entropy

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Reference no: EM132310740

Learning Outcomes

e. Evaluate multiuser communication and resource sharing techniques;

f. Apply the techniques of, and report on, digital communication applications using Matlab and hardware devices.

Assignment Description

The assignment has two (2) parts.

- Part-A is targeted to test the problem based learning and research based skill of the students;
- Part-B is targeted to test simulation skill of the students.

Note: Students should work in teams of four (4) students each. Every student should find a team mate. Students are encouraged to work with even people they are not accustomed to.

Part-A:

Purpose of this part of the assessment:

The purpose of this assignment is to motivate students to understand the importance of multiuser resource allocation techniques employed in the uplink of modern digital communication networks using wireless medium for information transmission. Students also develop skills in information gathering and technical documentation.

Description of the assessment:

Background:

Digital communication networks are usually accessed and used by multiple users at the same time. As the resources are finite and cannot serve all users seeking access to them at a given time, multi- user schemes are used for resource assignment. There are different competing resource allocation schemes in the uplink (i.e. from user to the network) which are generally called multiple access or multiuser schemes.

Requirements:

This task requires students to study and critique the multiuser resource allocation schemes used in the uplink of modern technologies: LTE-Advanced, LTE, Mobile WIMAX, CDMA2000, WCDMA and UMTS.

This assignment exposes the student to a real-world applications of digital communication in mobile wireless communication. In doing so the student shall acquire skills to understand the real-world requirements, critically review the existing techniques and write a technical report based on his or her investigation.

The requirements are found in the suggested approach, submission guideline and in the marking criteria table below:

Suggested approach:

1. The students are required to analyse the requirements for the design and selection of the uplink multiuser schemes used in modern wireless digital communication systems.
2. The students must do a literature review on current practices on uplink resource allocation in digital mobile communication networks.
3. The students are required to write a technical report on requirements, review and analysis on the case study. Please refer to the marking scheme table below for further information.

Submission Guidelines:

Your assignment should be completed according to the General Guidelines for Presentation of Academic Work.

1. successful completion of required tasks
2. quality of figures

a. Proper reference for the figures
b. comments
c. meaningful names
2. accompanying documentation including

a. Table of contents and page numbers
b. The cover page - indicating your names, declaration and signatures.
c. List of references used (IEEE referencing style) as evidence of research depth.

Part-B:

Purpose of this part of the assessment:

The purpose of this part of the assignment is to motivate students to improve their coding and simulation skills.

Question 1: Amplitude Modulation (AM)

Consider the message or modulating signal m(t)=Amcos(2πf0t) with frequency f0=60 Hz, amplitude Am=4V and the carrier signal c(t)= Accos(2πfct + φ) with voltage amplitude Ac=1V, frequency fc=800 MHz and phase φ=π/4. We want to compare suppressed carrier AM (SC-AM) and full-carrier AM (FC- AM) and their variants.

1523_figure.jpg

DSB-SC AM signal: u(t)=m(t)c(t)
DSB-FC AM signal: v(t)=[1 + m(t)/Ac]*c(t)

(a) Using Matlab, sketch the waveforms of m(t), u(t)=m(t)c(t) and v(t)=[1 + m(t)/Ac]*c(t) in one figure. Explain what you observe from the figures.
(b) Using Matlab sketch the spectra of m(t), u(t)=m(t)c(t) and v(t)=[1 + m(t)/Ac]*c(t) in one figure.

Question 2: Huffman coding

Consider a source with the seven symbols in its alphabet s = {'s0' 's1' 's2' 's3' 's4' 's5' 's6'} which has the probabilities p = [0.18 0.21 0.2 0.26 0.03 0.05 0.07].

(a) Write a MATLAB function ‘entropy' to compute the entropy of the source.
(b) Use your function ‘entropy' to find the entropy of the given source.
(c) Write a MATLAB program to generate a Huffman code for the source.

Verified Expert

In this work, the scope, requirement, critical review, research depth, and recent developments are done related to the recent communication. The next part was done with the help of MATLAB software. In this, various waveforms include m (t), u (t), and v (t) were plotted. The next part includes the evaluating of the entropy of the source. The next part has the MATLAB code which helps in generating the Huffman code.

Reference no: EM132310740

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Reviews

len2310740

5/23/2019 3:15:24 AM

Marking Rubric Criteria/ Grades High Distinction (HD) [Excellent] >80% Scope ----/10 All topics are covered in depth. Ability to think critically and source material is demonstrated Requirements ----/10 Logic is clear and easy to follow with strong arguments Critical review ----/10 All elements are present and very well integrated Research depth ----/10 Research depth and reference style /20

len2310740

5/23/2019 3:15:15 AM

Recent developments What new techniques are available and how they claim to outperform the current methods 10 Reference style IEEE 5 Individual contributions The report clearly states the contributions of every team member, and lists names and student IDs of all team members. 5 Plagiarism Type of plagiarism - Copy from other student - Copy from internet source/textbook - Copy from other sources -60 Total 60

len2310740

5/23/2019 3:15:07 AM

Section to be included in the report Description of the section Marks Scope A high level description as introduction demonstrating the understanding of the case study. 10 Requirements Design issues in resource allocation in the uplink of modern mobile digital communication systems. 10 Critical review Differences between the uplink resource allocation schemes used in the technologies studied. 10 Research depth Literature review of the multiuser resource allocation schemes used in the uplink of LTE- Advanced, LTE, Mobile WIMAX, CDMA2000, WCDMA and UMTS 10

len2310740

5/23/2019 3:14:58 AM

Your assignment should be completed according to the General Guidelines for Presentation of Academic Work. 1. successful completion of required tasks 2. quality of figures a. Proper reference for the figures b. comments c. meaningful names 2. accompanying documentation including a. Table of contents and page numbers b. The cover page - indicating your names, declaration and signatures. c. List of references used (IEEE referencing style) as evidence of research depth.

len2310740

5/23/2019 3:14:48 AM

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, 1.5 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 Information Technology and Engineering.

len2310740

5/23/2019 3:14:41 AM

Assessment Type Group Assignment (group of 4 students max.) Assessment Title Assignment-2 Unit Learning Outcomes covered in this assessment e. Evaluate multiuser communication and resource sharing techniques; f. Apply the techniques of, and report on, digital communication applications using Matlab and hardware devices.

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