- •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.
- •Laboratory work 2 Spectral representation of periodic and acyclic signals
- •Short theoretical data
- •3. Approbation of the received results
- •Test questions
- •List of references
- •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.Test Questions
Spectral presentation of periodical and no periodic signals
Fourier discrete transform.
The notion of monotone harmonic signal.
List of References
Тревис Дж. LabVIEW для всех. М.:LVR Пресс, 2004, - 544с.Пейч Л.И., Точилин Д.А., Поллак Б.П. LabVIEW для новичков и специалистов. М.: Горячая линия – Телеком, 2004, - 384с.
Баскаков С.И. Радиотехнические цепи и сигналы Учебник для вузов. - М. Высшая школа, 1988.
Даджион Д., Мерсеро Р. Цифровая обработка многомерных сигналов. – М.: Мир, 1988. – 488 с.
Дмитриев В.И. Прикладная теория информации: Учебник для вузов. - М.: Высшая школа, 1989.
Laboratory work 3 Characteristics of random processes (signals, noises)
The purpose: to receive the basic skills of work in the environment of Matlab. To study possibilities of package Signal Processing Toolbox on generation of signals. To study properties of convolution
Short theoretical data.
Signal Processing Toolbox - a powerful package under the analysis, modeling and designing of processing devices of every possible signals, maintenance of their filtration and set of transforms.
Package Signal Processing provides extremely extensive possibilities on creation of programs of processing of signals for modern scientific and technical appendices. In a package the various techniques of a filtration and the newest algorithms of the spectral analysis is used. The package contains modules for working out of new algorithms of processing of signals, workings out of linear systems and the analysis of time numbers. The package will be useful, in particular, in such areas, as processing of audio - and a video information, telecommunication, geophysics, management problems in a real mode of time, economy, the finance and medicine.
Package appointment:
Modeling of signals and linear systems;
Designing, the analysis and realization of digital and analog filters;
Fast Fourier transform, discrete косинусное and other transforms;
The Estimation of spectra and statistical processing of signals;
Parametrical processing of time numbers;
Generation of signals of the various form;
Window display.
Package Signal Processing - an ideal cover for the analysis and processing of signals. In it the algorithms checked up by practice chosen by criteria of peak efficiency and reliability are used. The package contains a wide spectrum of algorithms for representation of signals and linear models. This set allows the user to approach to creation of the scenario of processing of signals flexibly enough. The package includes algorithms for transform of model from one representation in another.
Package Signal Processing includes a full set of methods for creation of digital filters with various characteristics. He allows to develop quickly filters of high and low frequencies, strip passing and detaining filters, multiband filters, including filters of Chebyshev, Jul - Volker, elliptic and other filters.
The graphic interface allows to project filters, setting requirements to them in a mode of carrying over of objects the mouse. Following new methods of designing of filters are included in a package:
The Generalized method of Chebyshev for creation of filters with the nonlinear phase characteristic, complex factors or any response. The algorithm is developed by Maklennan and Karam in 1995;
The Method of the least squares with restrictions allows the user to supervise the maximum error (smoothing) obviously;
The method of calculation of the minimum order of the filter with a window of the Kaiser;
The Generalized method of Batterworth for designing of low - frequency filters with as much as possible homogeneous pass - bands and attenuations.
Based on optimum algorithm of fast transform of Fourier, package Signal Processing possesses unsurpassed characteristics for the frequency analysis and spectral estimations. The package includes functions for calculation of discrete transform of Fourier, discrete cosinus transforms, Hilbert's transform and other transforms often applied to the analysis, coding and a filtration. In a package such methods of the spectral analysis, as a method of Velch, a method of the maximum entropy and others are realized.
Package Signal Processing is a basis for the decision of many other problems. For example, combining it with package Image Processing, it is possible to process and analyze two - dimensional signals and images. Together with package System Identification package Signal Processing allows to carry out parametrical modeling of systems in time area. In a combination to packages Neural Network and Fuzzy Logic the set of means for data processing or allocation of classification characteristics can be created. Means of generation of signals allows to create pulse signals of the various form.