首页 >
> 详细

Assignment 2 - Simulation of a Hamming-coded

16-QAM System

Digital Communications, EEEN3009J, Autumn 2020/21

You are required to write, in MATLAB, a time domain simulation of a communication

system which uses coded 16-QAM modulation. The code used is a (7, 4) linear block code

called a Hamming code. The system model is shown in Figure 1. The channel model uses

symbol rate sampling and the only channel impairment is additive white Gaussian noise

(AWGN).

Figure 1: Block Diagram of the Hamming-coded 16-QAM system to be simulated.

The (7, 4) Hamming code has the following generator matrix: (1)

Note that the matrix G is in systematic form. Therefore, from class notes, Given that the received vector may be written as

r = c + e, where c denotes the transmitted codeword and e the error vector, decoding of

this code proceeds by using the received vector r to form the syndrome s = rHT = eHT

.

The maximum-likelihood error vector e may then be identified via Table 1 below.

1

Table 1: Decoding table for the (7, 4) Hamming code.

Syndrome s Error Vector e

000 0000000

001 0010000

010 0100000

011 0000100

100 1000000

101 0000001

110 0001000

111 0000010

The following are the requirements:

• Use your simulation to plot the symbol error rate (SER) versus Es/N0 curve for the

system. Plot SER on a log scale and Es/N0 in dB.

• Then, on the same graph, plot the theoretical SER curve for the system. To do this,

you will need to derive an expression for the probability of symbol error for this system

as a function of Es/N0.

• Also, on a separate plot show the simulated and theoretical bit error rate (BER) versus

Eb/N0 in dB.

• From the BER curves, estimate the value of Eb/N0 above which the Hamming code

offers improved performance over an uncoded system, i.e., find the values of BER and

Eb/N0 at which the two curves cross over each other.

• From the BER curves find the coding gain (in dB) at a BER of 10−4

.

• Your program should consist of a single m-file script, and should be appropriately

annotated with comments. You should not use any procedures from the MATLAB

communications toolbox.

• Your assignment should be submitted via Brightspace, and should contain two files:

(a) Your MATLAB simulation m-file, and

(b) A short report (in PDF format) containing the system performance graphs

mentioned above. A brief commentary about the methods you used and the

results you obtained should also be included in this report. The answers to the

specific questions asked above should also be stated clearly in your report.

• The deadline is 11:30 pm (Dublin time) on Friday 20 November 2020.

• And most importantly: The program you submit should be your own work.

Programs will be scrutinized for evidence of copying. Programs in which copying is

found will NOT be awarded a pass grade.

联系我们

- QQ：99515681
- 邮箱：99515681@qq.com
- 工作时间：8:00-23:00
- 微信：codinghelp2

- Cs2461-10实验程序代做、代写java，C/C++，Python编程设 2021-03-02
- 代写program程序语言、代做python，C++课程程序、代写java编 2021-03-02
- Programming课程代做、代写c++程序语言、Algorithms编程 2021-03-02
- 代写csc1-Ua程序、代做java编程设计、Java实验编程代做 代做留学 2021-03-02
- 代做program编程语言、代写python程序、代做python设计编程 2021-03-02
- 代写data编程设计、代做python语言程序、Python课程编程代写 代 2021-03-02
- Cse 13S程序实验代做、代写c++编程、C/C++程序语言调试 代写留学 2021-03-02
- Mat136h5编程代做、C/C++程序调试、Python，Java编程设计 2021-03-01
- 代写ee425x实验编程、代做python，C++，Java程序设计 帮做c 2021-03-01
- Cscc11程序课程代做、代写python程序设计、Python编程调试 代 2021-03-01
- 代写program编程、Python语言程序调试、Python编程设计代写 2021-03-01
- 代做r语言编程|代做database|代做留学生p... 2021-03-01
- Data Structures代写、代做r编程课程、代做r程序实验 帮做ha 2021-03-01
- 代做data留学生编程、C++，Python语言代写、Java程序代做 代写 2021-03-01
- 代写aps 105编程实验、C/C++程序语言代做 代写r语言程序|代写py 2021-03-01
- Fre6831 Computational Finance 2021-02-28
- Sta141b Assignment 5 Interactive Visu... 2021-02-28
- Eecs2011a-F20 2021-02-28
- Comp-251 Final Asssessment 2021-02-28
- 代写cs1027课程程序、代做java编程语言、代写java留学生编程帮做h 2021-02-28