Reprezentace signálů: od bází k framům
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Date
2010-12-02
Authors
Špiřík, Jan
Rajmic, Pavel
Veselý, Vítězslav
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Mark
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International Society for Science and Engineering, o.s.
Abstract
Článek se zabývá přechodem od bází vektorových prostorů k nedourčeným systémům (frames) a jejich definicím a vlastnostem v prostorech konečné a nekonečné dimenze. Jsou uvedeny příklady framových reprezentací zejména z oblasti zpracování signálů. Je uvedena také kategorizace jednotlivých framů podle jejich vlastností. Na závěr jsou uvedeny příklady použití na konkrétním signálu a zhodnoceny možné výhody nedourčených systémů.
The article deals with the transition from a basis of a vector spaces to an underdetermined system (frame) and its definition and properties in finite and infite dimensions spaces. There examples of frame representations especially from the area of signal processing are shown. The categorization of frames according to their properties is also mentioned . Finally, examples of using on a specific signal are introduced and the potential benefits of underdetermined systems are evaluated.
The article deals with the transition from a basis of a vector spaces to an underdetermined system (frame) and its definition and properties in finite and infite dimensions spaces. There examples of frame representations especially from the area of signal processing are shown. The categorization of frames according to their properties is also mentioned . Finally, examples of using on a specific signal are introduced and the potential benefits of underdetermined systems are evaluated.
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cs
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(C) 2010 Elektrorevue