DocumentCode :
554980
Title :
The conditions of frame for the shift-invariant system
Author :
Dewu Yang ; Xiuge Zhu
Author_Institution :
Sch. of Math. & Stat., Henan Univ. of Sci. & Technol., Luoyang, China
fYear :
2011
fDate :
11-13 Aug. 2011
Firstpage :
255
Lastpage :
259
Abstract :
A necessary condition and two sufficient conditions ensuring that the shift-invariant system is a frame for L2(Rn) are established. The proofs of presented results rely on elementary properties of the periodic function and the Cauchy-Schwarz inequality. As some applications, the results are used to obtain some known conclusions about wavelet frames.
Keywords :
time-varying systems; wavelet transforms; Cauchy-Schwarz inequality; L2(Rn); elementary properties; periodic function; shift-invariant system; wavelet frames; Bessel sequence; Frame; dilation matrix; shift-invariant space; shift-invariant system; wavelet frame;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Advanced Mechatronic Systems (ICAMechS), 2011 International Conference on
Conference_Location :
Zhengzhou
Print_ISBN :
978-1-4577-1698-0
Type :
conf
Filename :
6025024
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=554980
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