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Applications of Parameterizations of Oblique Duals of a Frame Sequence
Authors:Hyoungseok Kim  Yoo Young Koo
Institution:1. Department of Multimedia Engineering , Dongeui University , Busanjin-gu , Busan , Republic of Korea;2. University College, Yonsei University , Seoul , Republic of Korea
Abstract:Two parameterizations of oblique duals of a given frame sequence are applied to show that the sum of a frame sequence and one of its oblique duals may not be a frame sequence, and that type II dual is locally (and globally) optimal in some sense and that the excesses of the frame sequence and its oblique duals are the same. Other observations on the duals of a frame sequence are included also.
Keywords:Deficit  Dual  Excess  Frame  Frame sequence  Oblique dual  Rank  Type I dual  Type II dual
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