Necessary and sufficient conditions for discrete wavelet frames in CN

JOURNAL OF GEOMETRY AND PHYSICS

卷:117

Article

Deepshikha¹  Vashisht, Lalit K.¹ 

[1] Univ Delhi, Dept Math, Delhi 110007, India

关键词: Frame;    Dual frame;    Wavelet;   

DOI  :  10.1016/j.geomphys.2017.03.005

来源: Elsevier

【 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. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free