- •Contents
- •Introduction
- •General direction to carrying out of laboratory work and technical safety rules
- •A rules of laboratory work decoration
- •Laboratory work 1 Study of the determined signals characteristics
- •1.The Procedure.
- •3. Approbation of the received results
- •Test questions
- •List of references
- •Laboratory work 2 Spectral representation of periodic and acyclic signals
- •Short theoretical data
- •2.The procedure.
- •3.Test Questions
- •List of References
- •Laboratory work 3 Characteristics of random processes (signals, noises)
- •Short theoretical data.
- •The Procedure.
- •Approbation of the received results
- •4.Test Questions
- •Laboratory work 4 Methods of quantization and discretization of signals
- •1. Short theoretical data
- •1.1. Discretization
- •1.2. Fourier Fast transform.
- •1.3. Quantization
- •2.Study of processes of discretization and quantization
- •2.1. Discretization.
- •2.2. Quantization
- •3. Approbation of the received results
- •4.Test questions
- •5.List of References
- •Laboratory work 5
- •Information characteristics of sources of messages and communication channels
- •1.Short theoretical data
- •2.Solution of standard examples
- •3. Tasks for independent work
- •4.Approbation of the received results
- •5.Test questions
- •Laboratory work 6 Effective coding of messages. Codes of Shannon – Fano, Haffman.
- •1.Short theoretical data.
- •2. The procedure.
- •3. Approbation of the received results
- •4. Test questions
- •Laboratory work 7 Noiseproof coding. HAmming Code
- •2. The procedure.
- •2. Approbation of the received results
- •3.Test questions
- •Laboratory work 8 Cyclic codes
- •1.Short theoretical data
- •Coding with the using of cyclic codes
- •2.The Procedure.
- •2.1. Research of data transform with binary symmetric channel and bch code with fixing length of coding combination..
- •2.2. Research of a data transmission system with the bch codes when using the Gaussian channel
- •3.Approbation of the received results
- •4.Test questions
- •Laboratory practical work for the discipline “the applied theory of information”
3.Approbation of the received results
1. Using an experience of laboratory work №6, to carry out research of the system with application of BCH code in DSC with constant parameters. Рекомендуется установить вероятность ошибки на символ в ДСК, равной 0.2.
A table of BCH code is got called from the etalon model using the yellow block. A table is shown in the figure 3. For carrying out of the work to choose practically BCH code with N= 127. It is recommended to change a K parameter with 120 step about 20, e.g. 99; 71; 50; 29; 8
After carrying out of research it is necessary to construct graphs explained the effectiveness of BCH and DSC code application with fixing probability of errors.
1.1. To build a graph of plot taking the value T for argument and receiving statistical data by probability of error to symbol on function.
1.2. To build a graph of plot taking on argument specific velocity of information transmission К/N, and received statistical data by probability of error to symbol on function.
Examples of program for output of graph is given below:
>> 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
The results of the research to present to the teacher for checking and to enter into shit list.
2. For preparing of the report it is recommended to summarize of the research on one graph. For argument to take a parameter k, a practically and for argument the received probability of error reception of symbol. For example a program for output of two graphs has a 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
To press Enter and to present the graph to the teacher for checking in electronic form after which to transfer the graph to the report on laboratory work.
4.Test questions
1. Characteristic of gauss communicative channel
2. A principle of value of distortion probability of code consequence on channels with independent errors.
3. Principle of parameter tasks of message source of model.
4. Order of parameter task of model coder (decoder) модели.
5. Order of parameter task of communication channel .
6. Order of error checking in modeling connection system.
7. Principle of virtual oscilograph setting.
8. Order of display setting.
9. Principle of computation and installation of modeling time.
10. Order of BCH code tasks.
11. Principle of imitative model element synchronization
List of References
В. П. Цымбал. Теория информации и кодирование, Задачник. Учебное пособие. Ozon.ru, 2014
Мышев А. В. Лабораторный практикум по курсу "Теория кодирования информации" / А. В. Мышев. - Обнинск : ИАТЭ НИЯУ МИФИ, 2010.
S.M.Moser, Po – Ning Chen. A Student’s Guide to Coding and Information. Theory. Cambridge University Press, 2012.
Tassanbayev S.E.