Tight Frame Completions with Prescribed Norms
نویسندگان
چکیده
منابع مشابه
Tight Frame Completions with Prescribed Norms
Let H be a finite dimensional (real or complex) Hilbert space and let {ai}i=1 be a non-increasing sequence of positive numbers. Given a finite sequence of vectors F = {fi}pi=1 in H we find necessary and sufficient conditions for the existence of r ∈ N∪{∞} and a Bessel sequence G = {gi}i=1 in H such that F ∪ G is a tight frame for H and ‖gi‖ = ai for 1 ≤ i ≤ r. Moreover, in this case we compute ...
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ژورنال
عنوان ژورنال: Sampling Theory, Signal Processing, and Data Analysis
سال: 2008
ISSN: 2730-5716,2730-5724
DOI: 10.1007/bf03549482