Title
Razvoj nove klase ortogonalnih filtara s primenom u modeliranju, analizi i sintezi sistema za diferencijalnu impulsno kodnu modulaciju
Creator
Danković, Nikola B. 1984-
Copyright date
2017
Object Links
Select license
Autorstvo 3.0 Srbija (CC BY 3.0)
License description
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Language
Serbian
Cobiss-ID
Theses Type
Doktorska disertacija
description
Datum odbrane: 20.02.2018.
Other responsibilities
mentor
Antić, Dragan 1963-
član komisije
Nikolić, Vlastimir
član komisije
Perić, Zoran H. 1964-
član komisije
Mitić, Darko
član komisije
Milojković, Marko 1980-
Academic Expertise
Tehničko-tehnološke nauke
University
Univerzitet u Nišu
Faculty
Elektronski fakultet
Group
Katedra za automatiku
Alternative title
Development of a new class of orthogonal filters with applications in modelling, analysis and synthesis of differential pulse code modulation system
Publisher
[N. B. Danković]
Format
[12], 149 listova
description
Biobibliografski podaci: listovi 132-149.
description
Automation
Abstract (en)
This PhD dissertation deals with development of new classes of orthogonal filters based on symmetric transformation of their poles to zeroes and vice versa. The filters based on reciprocal transformation are developed and the generalized Malmquist filters orthogonal with respect to a special inner product are designed in this way. The orthogonal filters by using bilinear transformation, including several classes of classical orthogonal cascade filters (Legendre, Laguerre, Müntz-Legendre, Malmquist), are also designed. These filters are practically realized both in analogue and digital techniques. The main quality of these filters is a possibility of adaptive adjustment of filter parameters, i.e. parameters of bilinear transformation, achieving the best filter performances. The final result of this part of research is a wide range of applications of these filters in identification, modelling, analysis, and design of technical systems. The analogue versions of filters are applied in modelling of the system for rubber strip cooling in tyre industry, and their digital versions in modelling of telecommunication system for differential pulse code modulation (DPCM system). It is verified that the models obtained by using these new filters are of higher quality than the models based on classical filters.
The other part of research in PhD dissertation refers to the mentioned DPCM system. A complete analysis of DPCM system with arbitrary order predictor is performed for the first time. This relates to the consideration of stability by classical approach, as well as to stochastic stability analysis. The analysis of robust stability by using Kharitonov method is also performed for both deterministic and stochastic case, as well as for low- and high orders of predictors. The parametric sensitivity related to different order-predictors coefficients is also analyzed.
Authors Key words
ortogonalni filtri, Malmkvistove funkcije, Mincovi polinomi, unutrašnji proizvod, bilinearna transformacija, genetički algoritam, DPCM, linearna predikcija, Monte Karlo metoda, normalna raspodela, funkcija gustine verovatnoće
Authors Key words
orthogonal filters, Malmquist functions, Müntz polynomials, inner product, bilinear transformation, genetic algorithm, DPCM, linear prediction, Monte Carlo method, normal distribution, probability density function
Classification
621.372.852.1:621.376(043.3)
Subject
(621.319:531.39):004-925.8
Type
Elektronska teza
Abstract (en)
This PhD dissertation deals with development of new classes of orthogonal filters based on symmetric transformation of their poles to zeroes and vice versa. The filters based on reciprocal transformation are developed and the generalized Malmquist filters orthogonal with respect to a special inner product are designed in this way. The orthogonal filters by using bilinear transformation, including several classes of classical orthogonal cascade filters (Legendre, Laguerre, Müntz-Legendre, Malmquist), are also designed. These filters are practically realized both in analogue and digital techniques. The main quality of these filters is a possibility of adaptive adjustment of filter parameters, i.e. parameters of bilinear transformation, achieving the best filter performances. The final result of this part of research is a wide range of applications of these filters in identification, modelling, analysis, and design of technical systems. The analogue versions of filters are applied in modelling of the system for rubber strip cooling in tyre industry, and their digital versions in modelling of telecommunication system for differential pulse code modulation (DPCM system). It is verified that the models obtained by using these new filters are of higher quality than the models based on classical filters.
The other part of research in PhD dissertation refers to the mentioned DPCM system. A complete analysis of DPCM system with arbitrary order predictor is performed for the first time. This relates to the consideration of stability by classical approach, as well as to stochastic stability analysis. The analysis of robust stability by using Kharitonov method is also performed for both deterministic and stochastic case, as well as for low- and high orders of predictors. The parametric sensitivity related to different order-predictors coefficients is also analyzed.
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