منابع مشابه
Generalized Irregular Sampling in Shift-Invariant Spaces
This article concerns the problem of stable recovering of any function in a shiftinvariant space from irregular samples of some filtered versions of the function itself. These samples arise as a perturbation of regular samples. The starting point is the generalized regular sampling theory which allows to recover any function f in a shiftinvariant space from the samples at {rn}n∈Z of s filtered ...
متن کاملNon-uniform Sampling in Shift-invariant Spaces
This article discusses modern techniques for non-uniform sampling and reconstruction of functions in shift-invariant spaces. The reconstruction of a function or signal or image f from its non-uniform samples f(xj) is a common task in many applications in data or signal or image processing. The non-uniformity of the sampling set is often a fact of life and prevents the use of the standard method...
متن کاملOn sampling in shift invariant spaces
Abstract— In this paper, a necessary and sufficient condition for sampling in the general framework of shift invariant spaces is derived. Then this result is applied respectively to the regular sampling and the perturbation of regular sampling in shift invariant spaces. A simple necessary and sufficient condition for regular sampling in shift invariant spaces is attained. Furthermore, an improv...
متن کاملOn Sampling in Shift Invariant Spaces
In this correspondence, a necessary and sufficient condition for sampling in the general framework of shift-invariant spaces is derived. Then this result is applied, respectively, to the regular sampling and the perturbation of regular sampling in shift-invariant spaces. A simple necessary and sufficient condition for regular sampling in shift-invariant spaces is attained. Furthermore, an impro...
متن کاملDynamical Sampling in Hybrid Shift Invariant Spaces
In the modelling of smooth spatio temporal fields (eg. in wireless sensor networks) it is desirable to have locally adapted smoothness of the field. Hybrid shift invariant spaces (HSIS), studied in this paper, are a good fit for this purpose. We explore the properties of these spaces and formulate the dynamical sampling problem in this new setting. We generalize the techniques of dynamical samp...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2013
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2012.08.030