By Topic

Irregular sampling for spline wavelet subspaces

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)
Youming Liu ; Dept. of Appl. Math., Beijing Polytech. Univ., China

Spline wavelets ψm(t) are important in time-frequency localization due to (i) ψm can be arbitrarily close to the optimal case as m is sufficiently large, (ii) ψm has compact support and simple analytic expression, which lead to effective computation. Although the spline wavelet subspaces are so simple, Walter's well-known sampling theorem does not hold if the order of spline m is even. Moreover, when irregular sampling is considered in these spaces, it is hard to determine the sampling density, which is a serious problem in applications, in this correspondence, a general sampling theorem is obtained for m⩾3 in the sense of iterative construction and the sampling density δm is estimated

Published in:

IEEE Transactions on Information Theory  (Volume:42 ,  Issue: 2 )