Reprezentace signálů: od bází k framům

Title in English Signal representation: from bases to frames
Authors

ŠPIŘÍK Jan RAJMIC Pavel VESELÝ Vítězslav

Year of publication 2010
Type Article in Periodical
Magazine / Source Elektrorevue
MU Faculty or unit

Faculty of Economics and Administration

Citation
Web http://www.elektrorevue.cz/cz/clanky/zpracovani-signalu/0/reprezentace-signalu--od-bazi-k-framum/
Field Electronics amd optoelectronics, electrotechnics
Keywords signal represenation; basis; frame
Description The paper goes beyond bases of vector spaces dealing with underdetermined systems (overparameterized systems, frames) and providing exact defininitions and properties in spaces both of finite and infinite dimension. Examples of frame representations illustrate the new concept in particular in the field of signal processing. A categorization of frames by their properties is given. The paper concludes with application examples to specific signals and evaluates possible pros and cons of underdetermined systems.
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