Title of article
Asymmetric multi-channel sampling in shift invariant spaces
Author/Authors
Kang، نويسنده , , S. and Kim، نويسنده , , J.M. and Kwon، نويسنده , , K.H.، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2010
Pages
9
From page
20
To page
28
Abstract
We develop an asymmetric multi-channel sampling on a shift invariant space V ( ϕ ) with a Riesz generator ϕ ( t ) in L 2 ( R ) , where each channeled signal is assigned a uniform but distinct sampling rate. We use Fourier duality between V ( ϕ ) and L 2 [ 0 , 2 π ] to find conditions under which there is a stable asymmetric multi-channel sampling formula on V ( ϕ ) .
Keywords
shift invariant space , Multi-channel sampling , Riesz basis , frame
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2010
Journal title
Journal of Mathematical Analysis and Applications
Record number
1560970
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