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A pair of orthogonal frames |
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| Authors: | Hong Oh Kim Rae Young Kim Jae Kun Lim Zuowei Shen |
| Affiliation: | a Division of Applied Mathematics, KAIST, 373-1 Guseong-dong, Yuseong-gu, Daejeon 305-701, Republic of Korea b Department of Mathematics, Yeungnam University, 214-1 Dae-dong, Gyeongsan-si, Gyeongsangbuk-do 712-749, Republic of Korea c Department of Applied Mathematics, Hankyong National University, 67 Seokjeong-dong, Anseong-si, Gyeonggi-do 456-749, Republic of Korea d Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Republic of Singapore |
| Abstract: | We start with a characterization of a pair of frames to be orthogonal in a shift-invariant space and then give a simple construction of a pair of orthogonal shift-invariant frames. This is applied to obtain a construction of a pair of Gabor orthogonal frames as an example. This is also developed further to obtain constructions of a pair of orthogonal wavelet frames. |
| Keywords: | Orthogonal frames Frame Wavelet system Affine system Gabor system |
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