2. Approbation of the received results

For carrying out of laboratory work part is necessary:Для выполнения данной части лабораторной работы необходимо:

• to compose a modeling on the base of etalon modeling with the using of Hamming code;

• to receive statistic data for the channel with detection of error

• to conduct a comparison of the channel without excess code and the channel with coding

• results are decorated in the form of table .

To install Hamming code parameter n = 7, k = 4. to carry out research working out about 4000 information symbols. To fix the results of research in the report.

It is recommended to install parameters for the elements of modeling in correspondence with table 1. It is recommended to establish parameters for model elements according to таble 1. you shoud pay special attention to the parameter of error fixation Delay between input (1st port) and output (2 nd port), which in given modeling must be equal to 2. Such parameter answers to the logics of the work of coder and decoder in which information stays on one unit of time modeling.

Table 1

Parameters of modeling block of connection system with the using Hamming code.

Information source	Hamming coder	Binary symmetrical channel	Hamming decoder	Meter of errors
1000,1	7	0,1	7	1
1/4	4	4	4	20
1	¼	-	¼	2
0	-	-	-	1/4

Hence, changing the parameters by the rule of n = 2^m–1 и k = 2^m –m –1,to carry out research of system, fixing the results in the report. It is recommended to parameter m to lay value 3; 4; 5; 6 by corresponding values of parameter r: 0.15; 0.1; 0.08; 0.04 и 0.01.

A form of report is presented in table 2

Таble 2

A report Hamming code research in DSC

Hamming code	Р=0,15	Р=0,1	Р=0,08	Р=0,04	Р=0,01
DSC
7,4,3
15,11,3
31,26,3
63,57,3

For evaluation of energetic advantage to compare the received data with data of analytical system modeling of connection with antipodal signal, for which the results are received given in table 3.

Table 3

The results of analytical modeling

Probability of error	3*10 - 1	10 - 2	2*10 - 2	2*10 - 4	5*105
Relation of signal/noise	2 dB	4 dB	6 dB	8 dB	10 dB

For preparing of it is recommended to lead the results of research on one graph. For argument advisably to assume parameter k, а for function 17 received probability of errors of symbol assume .for carrying out of this task paragraph it is necessary to set a program of graph conclusion in command form.

For example a program for output of two graphs in the form of:

>> x = [4 11 26 59];

>> y = [0.01 0.02 0.06 0.1];

>> x1 = [4 11 26 59];

>> y1 = [0.001 0.01 0.012 0.1];

>>semilogy(x,y,x1,y1), grid