Dynamical sampling
نویسندگان
چکیده
منابع مشابه
System identification in dynamical sampling
We consider the problem of spatiotemporal sampling in an evolutionary process x = Ax where an unknown linear operator A driving an unknown initial state x is to be recovered from a combined set of coarse spatial samples {x|Ω0 , x |Ω1 , · · ·, x |ΩN }. In this paper, we will study the case of infinite dimensional spatially invariant evolutionary process, where the unknown initial signals x are m...
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Let B be an unknown linear evolution process on C ' `(Zd) driving an unknown initial state x and producing the states {Bx, ` = 0, 1, . . .} at different time levels. The problem under consideration in this paper is to find as much information as possible about B and x from the measurements Y = {x(i), Bx(i), . . . , Bix(i) : i ∈ Ω ⊂ Z}. If B is a “low-pass” convolution operator, we show that we ...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2017
ISSN: 1063-5203
DOI: 10.1016/j.acha.2015.08.014