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IJSTR >> Volume 9 - Issue 3, March 2020 Edition



International Journal of Scientific & Technology Research  
International Journal of Scientific & Technology Research

Website: http://www.ijstr.org

ISSN 2277-8616



Expansion Dual To Channeled The Sample In A Series Of Shift-Invariant Space

[Full Text]

 

AUTHOR(S)

Adam Zakria

 

KEYWORDS

Channeling, Expansion, Frames, Sampling, Shift-invariant spaces.

 

ABSTRACT

In this article we show sampling expansion formulations on a series of shift-invariant closed sub space ∑_(j=1)^∞▒〖V (φ(t_j)) 〗 of L^2 (R) generated by a Riesz generator series ∑_(j=1)^∞▒〖φ(t_j)〗 or frames. Moreover we illustration a single channel sampling on a series ∑_(j=1)^∞▒〖V (φ(t_j)) 〗. Finally, examples are given to support our results.

 

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