Optimal shift invariant spaces and their Parseval frame generators
نویسندگان
چکیده
منابع مشابه
Optimal Shift Invariant Spaces and Their Parseval Frame Generators
Given a set of functions F = {f1, . . . , fm} ⊂ L2(R), we study the problem of finding the shift-invariant space V with n generators {φ1, . . . , φn} that is “closest” to the functions of F in the sense that V = argminV ′∈Vn m X i=1 wi‖fi − PV ′fi‖, where wis are positive weights, and Vn is the set of all shift-invariant spaces that can be generated by n or less generators. The Eckart-Young The...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2007
ISSN: 1063-5203
DOI: 10.1016/j.acha.2007.05.001