Necessary and sufficient conditions for discrete wavelet frames in C-N

作者:Deepshikha; Vashisht Lalit K*
来源:Journal of Geometry and Physics, 2017, 117: 134-143.
DOI:10.1016/j.geomphys.2017.03.005

摘要

We present necessary and sufficient conditions with explicit frame bounds for a discrete wavelet system of the form {DaTk phi}a is an element of U(N),k is an element of I-N to be a frame for the unitary space C-N. It is shown that the canonical dual of a discrete wavelet frame for C-N has the same structure. This is not true (well known) for canonical dual of a wavelet frame for L-2(R). Several numerical examples are given to illustrate the results.

  • 出版日期2017-7

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