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Approximating linear functionals on unitary spaces in the presence of bounded data errors with applications to signal recovery
Author(s) -
Kacewicz Bolesław Z.,
Kowalski Marek A.
Publication year - 1995
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.4480090104
Subject(s) - unitary state , bounded function , signal (programming language) , algorithm , mathematics , unitary transformation , computer science , upper and lower bounds , mathematical optimization , mathematical analysis , quantum , physics , law , quantum mechanics , political science , programming language
The paper deals with estimating linear continuous functionals on unitary spaces from inaccurate information, with applications to recovering band‐limited signals. We show how the minimal estimation error depends on a bound on data perturbations and specify the form of an optimal algorithm.