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   -> Volume 7, Issue 2


Preprint: Irregular Sampling in Wavelet Subspaces
 
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wchen@bach.net.is.uec.ac.jp (Chen Wen)
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PostPosted: Sat Jan 31, 1998 8:29 am    
Subject: Preprint: Irregular Sampling in Wavelet Subspaces
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#5 Preprint: Irregular Sampling in Wavelet Subspaces

Dear Waveleteer,

I have a preprint on Sampling in Wavelet Subsapces, which will
appear in IEEE Trans. Information Theory, of this year. We still
working on the problem, If you have interesting, please contact us.

Title: "Irregular Sampling Theorem for Wavelet Subspaces"

Author: "Wen Chen, Shuichi Itoh, and Junji Shiki"

Abstrct: From the Paley-Wiener $1/4$-theorem, the finite energy signal
$f(t)$ can be reconstructed from its irregularly-sampled values
$f(k+delta_k)$ if $f(t)$ is band-limited and $sup_k|delta_k|<1/4$.
We consider the signals in wavelet subspaces and wish to recover the
signals from its irregular samples by using scaling functions. Then
the way to estimate the upper bound of $sup_k|delta_k|$ such that
the irregularly-sampled signals can be recovered is very important.
Following the works done by Liu and Walter, we present an algorithm
which can estimate a proper upper bound of $sup_k|delta_k|$.
Compared to Paley-Wiener $1/4$-theorem, this theorem can relax the
upper bound for sampling in some wavelet subspaces.
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