Article ID Journal Published Year Pages File Type
5500041 Journal of Geometry and Physics 2017 10 Pages PDF
Abstract
We present necessary and sufficient conditions with explicit frame bounds for a discrete wavelet system of the form {DaTkϕ}a∈U(N),k∈IN to be a frame for the unitary space CN. It is shown that the canonical dual of a discrete wavelet frame for CN has the same structure. This is not true (well known) for canonical dual of a wavelet frame for L2(R). Several numerical examples are given to illustrate the results.
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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